Physics Midterm
A 1.5-kg block sliding on a rough horizontal surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If this system is displaced 20 cm horizontally from the equilibrium position and released from rest, the block first reaches the equilibrium position with a speed of 2.0 m/s. What is the coefficient of kinetic friction between the block and the horizontal surface on which it slides? 1) 0.34 2) 0.24 3) 0.13 4) 0.44 5) 0.17
1) 0.34
A 1.2-kg mass is projected from ground level with a velocity of 30 m/s at some unknown angle above the horizontal. A short time after being projected, the mass barely clears a 16-m tall fence. Disregard air resistance and assume the ground is level. What is the kinetic energy of the mass as it clears the fence? 1) 0.35 kJ 2) 0.73 kJ 3) 0.40 kJ 4) 0.68 kJ 5) 0.19 kJ
1) 0.35 kJ
A rocket with an initial mass of 1000 kg adjusts its thrust by varying the rate at which mass is ejected. The ejection speed relative to the rocket is 40 km/s. If the acceleration of the rocket is to have a magnitude of 20 m/s2 at an instant when its mass is 80% of the original mass, at what rate is mass being ejected at that instant? Ignore any external forces on the rocket. Question options: 1) 0.40 kg/s 2) 0.50 kg/s 3) 0.60 kg/s 4) 0.70 kg/s 5) 0.80 kg/s
1) 0.40 kg/s
A 10-g bullet moving horizontally with a speed of 2.0 km/s strikes and passes through a 4.0-kg block moving with a speed of 4.2 m/s in the opposite direction on a horizontal frictionless surface. If the block is brought to rest by the collision, what is the kinetic energy of the bullet as it emerges from the block? Question options: 1) 0.51 kJ 2) 0.29 kJ 3) 0.80 kJ 4) 0.13 kJ 5) 20 kJ
1) 0.51 kJ
A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0.80 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P = 80 N) acting parallel to the surface is applied to the block, as shown. What is the speed of the block when it is 13 cm from its equilibrium position? 1) 0.85 m/s 2) 0.89 m/s 3) 0.77 m/s 4) 0.64 m/s 5) 0.52 m/s
1) 0.85 m/s
A 1.6-kg block is attached to the end of a 2.0-m string to form a pendulum. The pendulum is released from rest when the string is horizontal. At the lowest point of its swing when it is moving horizontally, the block is hit by a 10-g bullet moving horizontally in the opposite direction. The bullet remains in the block and causes the block to come to rest at the low point of its swing. What was the magnitude of the bullet's velocity just before hitting the block? Question options: 1) 1.0 km/s 2) 1.6 km/s 3) 1.2 km/s 4) 1.4 km/s 5) 1.8 km/s
1) 1.0 km/s
A 3.0-kg mass sliding on a frictionless surface explodes into three 1.0-kg masses. After the explosion the velocities of the three masses are: (1) 9.0 m/s, north; (2) 4.0 m/s, 30° south of west; and (3) 4.0 m/s, 30° south of east. What was the magnitude of the original velocity of the 3.0-kg mass? Question options: 1) 1.7 m/s 2) 1.0 m/s 3) 1.3 m/s 4) 2.0 m/s 5) 2.8 m/s
1) 1.7 m/s
Two blocks with masses 2.0 kg and 3.0 kg are placed on a horizontal frictionless surface. A light spring is placed in a horizontal position between the blocks. The blocks are pushed together, compressing the spring, and then released from rest. After contact with the spring ends, the 3.0-kg mass has a speed of 2.0 m/s. How much potential energy was stored in the spring when the blocks were released? Question options: 1) 15 J 2) 3.0 J 3) 6.0 J 4) 12 J 5) 9.0 J
1) 15 J
At an instant when a particle of mass 80 g has a velocity of 25 m/s in the positive y direction, a 75-g particle has a velocity of 20 m/s in the positive x direction. What is the speed of the center of mass of this two-particle system at this instant? Question options: 1) 16 m/s 2) 45 m/s 3) 23 m/s 4) 20 m/s 5) 36 m/s
1) 16 m/s
A 1.5-kg object moving along the x axis has a velocity of +4.0 m/s at x = 0. If the only force acting on this object is shown in the figure, what is the kinetic energy of the object at x = +3.0 m? 1) 18 J 2) 21 J 3) 23 J 4) 26 J 5) 8 J
1) 18 J
A spring (k = 600 N/m) is at the bottom of a frictionless plane that makes an angle of 30° with the horizontal. The upper end of the spring is depressed 0.10 m, and a 2.0-kg block is placed against the depressed spring. The system is then released from rest. What is the kinetic energy of the block at the instant it has traveled 0.10 m and the spring has returned to its uncompressed length? 1) 2.0 J 2) 1.8 J 3) 2.2 J 4) 1.6 J 5) 1.0 J
1) 2.0 J
A pendulum is made by letting a 2.0-kg object swing at the end of a string that has a length of 1.5 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory? 1) 2.0 m/s 2) 2.2 m/s 3) 2.5 m/s 4) 2.7 m/s 5) 3.1 m/s
1) 2.0 m/s
A 3.0-kg block is on a frictionless horizontal surface. The block is at rest when, at t = 0, a force (magnitude P = 2.0 N) acting at an angle of 22° above the horizontal is applied to the block. At what rate is the force P doing work at t = 2.0 s? 1) 2.3 W 2) 2.0 W 3) 1.4 W 4) 1.7 W 5) 1.2 W
1) 2.3 W
A 2.0-kg object moving 5.0 m/s collides with and sticks to an 8.0-kg object initially at rest. Determine the kinetic energy lost by the system as a result of this collision. Question options: 1) 20 J 2) 15 J 3) 30 J 4) 25 J 5) 5.0 J
1) 20 J
A 2.0-kg block is projected down a plane that makes an angle of 20° with the horizontal with an initial kinetic energy of 2.0 J. If the coefficient of kinetic friction between the block and plane is 0.40, how far will the block slide down the plane before coming to rest? 1) 3.0 m 2) 1.8 m 3) 0.30 m 4) 1.0 m 5) 1.3 m
1) 3.0 m
The horizontal surface on which the block slides is frictionless. The speed of the block before it touches the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2.0 kN/m 1) 3.7 m/s 2) 4.4 m/s 3) 4.9 m/s 4) 5.4 m/s 5) 14 m/s
1) 3.7 m/s
A 6.0-kg object moving 2.0 m/s in the positive x direction has a one-dimensional elastic collision with a 4.0-kg object moving 3.0 m/s in the opposite direction. What is the total kinetic energy of the two-mass system after the collision? Question options: 1) 30 J 2) 62 J 3) 20 J 4) 44 J 5) 24 J
1) 30 J
A 2.0-kg block sliding on a frictionless horizontal surface is attached to one end of a horizontal spring (k = 600 N/m) which has its other end fixed. The speed of the block when the spring is extended 20 cm is equal to 3.0 m/s. What is the maximum speed of this block as it oscillates? 1) 4.6 m/s 2) 5.3 m/s 3) 5.7 m/s 4) 4.9 m/s 5) 3.5 m/s
1) 4.6 m/s
A 2.4-kg ball falling vertically hits the floor with a speed of 2.5 m/s and rebounds with a speed of 1.5 m/s. What is the magnitude of the impulse exerted on the ball by the floor? Question options: 1) 9.6 N s 2) 2.4 N s 3) 6.4 N s 4) 1.6 N s 5) 1.0 N s
1) 9.6 N s
A particle is acted upon by only two forces, one conservative and one nonconservative, as it moves from point A to point B. The kinetic energies of the particle at points A and B are equal if 1) the sum of the works of the two forces is zero. 2) the work of the conservative force is equal to the work of the nonconservative force. 3) the work of the conservative force is zero. 4) the work of the nonconservative force is zero. 5) None of the above.
1) the sum of the works of the two forces is zero.
The force an ideal spring exerts on an object is given by Fx = -kx, where x measures the displacement of the object from its equilibrium (x = 0) position. If k = 60 N/m, how much work is done by this force as the object moves from x = -0.20 m to x = 0? 1) -1.2 J 2) +1.2 J 3) +2.4 J 4) -2.4 J 5) +3.6 J
2) +1.2 J
A single conservative force Fx = (6.0x - 12) N (x is in m) acts on a particle moving along the x axis. The potential energy associated with this force is assigned a value of +20 J at x = 0. What is the potential energy at x = 3.0 m? 1) +11 J 2) +29 J 3) +9.0 J 4) -9.0 J 5) +20 J
2) +29 J
A 2.0-kg block slides down a plane (inclined at 40° with the horizontal) at a constant speed of 5.0 m/s. At what rate is the gravitational force on the block doing work? 1) +98 W 2) +63 W 3) zero 4) +75 W 5) -75 W
2) +63 W
A 2.0-kg projectile moves from its initial position to a point that is displaced 20 m horizontally and 15 m above its initial position. How much work is done by the gravitational force on the projectile? 1) +0.29 kJ 2) -0.29 kJ 3) +30 J 4) -30 J 5) -50 J
2) -0.29 kJ
A 20-kg block on a horizontal surface is attached to a light spring (force constant = 8.0 kN/m). The block is pulled 10 cm to the right from its equilibrium position and released from rest. When the block has moved 2.0 cm toward its equilibrium position, its kinetic energy is 13 J. How much work is done by the frictional force on the block as it moves the 2.0 cm? 1) -2.5 J 2) -1.4 J 3) -3.0 J 4) -1.9 J 5) -14 J
2) -1.4 J
A 3.0-kg ball with an initial velocity of (4i + 3j) m/s collides with a wall and rebounds with a velocity of (-4i + 3j) m/s. What is the impulse exerted on the ball by the wall? Question options: 1) +24i N s 2) -24i N s 3) +18j N s 4) -18j N s 5) +8.0i N s
2) -24i N s
A constant force of 15 N in the negative y direction acts on a particle as it moves from the origin to the point m. How much work is done by the given force during this displacement? 1) +45 J 2) -45 J 3) +30 J 4) -30 J 5) +75 J
2) -45 J
A 6.0-kg block slides along a horizontal surface. If µk = 0.20 for the block and surface, at what rate is the friction force doing work on the block at an instant when its speed is 4.0 m/s? 1) -59 W 2) -47 W 3) -71 W 4) -82 W 5) +71 W
2) -47 W
If vectors and have magnitudes 12 and 15, respectively, and the angle between the two when they are drawn starting from the same point is 110°, what is the scalar product of these two vectors? 1) -76 2) -62 3) -90 4) -47 5) -170
2) -62
How much work is done by a person lifting a 2.0-kg object from the bottom of a well at a constant speed of 2.0 m/s for 5.0 s? 1) 0.22 kJ 2) 0.20 kJ 3) 0.24 kJ 4) 0.27 kJ 5) 0.31 kJ
2) 0.20 kJ
A 1.0-kg block is released from rest at the top of a frictionless incline that makes an angle of 37° with the horizontal. An unknown distance down the incline from the point of release, there is a spring with k = 200 N/m. It is observed that the mass is brought momentarily to rest after compressing the spring 0.20 m. How far does the mass slide from the point of release until it is brought momentarily to rest? 1) 0.98 m 2) 0.68 m 3) 0.82 m 4) 0.55 m 5) 0.20 m
2) 0.68 m
A 12-g bullet moving horizontally strikes and remains in a 3.0-kg block initially at rest on the edge of a table. The block, which is initially 80 cm above the floor, strikes the floor a horizontal distance of 120 cm from its initial position. What was the initial speed of the bullet? Question options: 1) 0.68 km/s 2) 0.75 km/s 3) 0.81 km/s 4) 0.87 km/s 5) 0.41 km/s
2) 0.75 km/s
Two vectors and are given by and . If these two vectors are drawn starting at the same point, what is the angle between them? 1) 106° 2) 102° 3) 110° 4) 113° 5) 97°
2) 102°
A 1.5-kg playground ball is moving with a velocity of 3.0 m/s directed 30° below the horizontal just before it strikes a horizontal surface. The ball leaves this surface 0.50 s later with a velocity of 2.0 m/s directed 60° above the horizontal. What is the magnitude of the average resultant force on the ball? Question options: 1) 14 N 2) 11 N 3) 18 N 4) 22 N 5) 3.0 N
2) 11 N
A 10-kg block on a rough horizontal surface is attached to a light spring (force constant = 1.4 kN/m). The block is pulled 8.0 cm to the right from its equilibrium position and released from rest. The frictional force between the block and surface has a magnitude of 30 N. What is the kinetic energy of the block as it passes through its equilibrium position? 1) 4.5 J 2) 2.1 J 3) 6.9 J 4) 6.6 J 5) 4.9 J
2) 2.1 J
A 4.0-kg mass, initially at rest on a horizontal frictionless surface, is struck by a 2.0-kg mass moving along the x axis with a speed of 8.0 m/s. After the collision, the 2.0-kg mass has a speed of 4.0 m/s at an angle of 37° from the positive x axis. What is the speed of the 4.0-kg mass after the collision? Question options: 1) 2.0 m/s 2) 2.7 m/s 3) 4.9 m/s 4) 2.4 m/s 5) 3.6 m/s
2) 2.7 m/s
A 3.0-kg mass moving in the positive x direction with a speed of 10 m/s collides with a 6.0-kg mass initially at rest. After the collision, the speed of the 3.0-kg mass is 8.0 m/s, and its velocity vector makes an angle of 35° with the positive x axis. What is the magnitude of the velocity of the 6.0-kg mass after the collision? Question options: 1) 2.2 m/s 2) 2.9 m/s 3) 4.2 m/s 4) 3.5 m/s 5) 4.7 m/s
2) 2.9 m/s
The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-s time interval. During this same time interval, the velocity of the object changes its direction by 90°. What is the magnitude of the average total force acting on the object during this time interval? Question options: 1) 30 N 2) 20 N 3) 40 N 4) 50 N 5) 6.0 N
2) 20 N
A 3.0-kg mass sliding on a frictionless surface has a velocity of 5.0 m/s east when it undergoes a one-dimensional inelastic collision with a 2.0-kg mass that has an initial velocity of 2.0 m/s west. After the collision the 3.0-kg mass has a velocity of 1.0 m/s east. How much kinetic energy does the two-mass system lose during the collision? Question options: 1) 22 J 2) 24 J 3) 26 J 4) 20 J 5) 28 J
2) 24 J
A 2.0-kg object moving 3.0 m/s strikes a 1.0-kg object initially at rest. Immediately after the collision, the 2.0-kg object has a velocity of 1.5 m/s directed 30° from its initial direction of motion. What is the x-component of the velocity of the 1.0-kg object just after the collision? Question options: 1) 3.7 m/s 2) 3.4 m/s 3) 1.5 m/s 4) 2.4 m/s 5) 4.1 m/s
2) 3.4 m/s
At the instant a 2.0-kg particle has a velocity of 4.0 m/s in the positive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in the positive y direction. What is the speed of the center of mass of the two-particle system? Question options: 1) 3.8 m/s 2) 3.4 m/s 3) 5.0 m/s 4) 4.4 m/s 5) 4.6 m/s
2) 3.4 m/s
A champion athlete can produce one horsepower (746 W) for a short period of time. If a 70-kg athlete were to bicycle to the summit of a 500-m high mountain while expending power at this rate, she would have used at least ____ J of energy. 1) 746 2) 3.43 ´ 105 3) 3.73 ´ 105 4) 7.46 ´ 105 5) 2.61 ´ 107
2) 3.43 ´ 105
A 2.0-kg body moving along the x axis has a velocity vx = 5.0 m/s at x = 0. The only force acting on the object is given by Fx = (-4.0x) N, where x is in m. For what value of x will this object first come (momentarily) to rest? 1) 4.2 m 2) 3.5 m 3) 5.3 m 4) 6.4 m 5) 5.0 m
2) 3.5 m
The only force acting on a 2.0-kg body moving along the x axis is given by Fx = (2.0x) N, where x is in m. If the velocity of the object at x = 0 is +3.0 m/s, how fast is it moving at x = 2.0 m? 1) 4.2 m/s 2) 3.6 m/s 3) 5.0 m/s 4) 5.8 m/s 5) 2.8 m/s
2) 3.6 m/s
A 4.0-kg particle is moving horizontally with a speed of 5.0 m/s when it strikes a vertical wall. The particle rebounds with a speed of 3.0 m/s. What is the magnitude of the impulse delivered to the particle? Question options: 1) 24 N × s 2) 32 N × s 3) 40 N × s 4) 30 N × s 5) 8.0 N × s
2) 32 N × s
A rocket engine consumes 450 kg of fuel per minute. If the exhaust speed of the ejected fuel is 5.2 km/s, what is the thrust of the rocket? Question options: 1) 42 kN 2) 39 kN 3) 45 kN 4) 48 kN 5) 35 kN
2) 39 kN
A 1.0-kg ball is attached to the end of a 2.5-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point in its swing when it is moving horizontally, the ball collides elastically with a 2.0-kg block initially at rest on a horizontal frictionless surface. What is the speed of the block just after the collision? Question options: 1) 2.3 m/s 2) 4.7 m/s 3) 3.5 m/s 4) 3.0 m/s 5) 7.0 m/s
2) 4.7 m/s
A champion athlete can produce one horsepower (746 W) for a short period of time. If a 70-kg athlete were to bicycle to the summit of a 500-m high mountain while expending power at this rate, she would reach the summit in ____ seconds. 1) 1 2) 460 3) 500 4) 1000 5) 35 000
2) 460
A 3.0-kg block is on a horizontal surface. The block is at rest when, at t = 0, a force (magnitude P = 12 N) acting parallel to the surface is applied to the block causing it to accelerate. The coefficient of kinetic friction between the block and the surface is 0.20. At what rate is the force P doing work on the block at t = 2.0 s? 1) 54 W 2) 49 W 3) 44 W 4) 59 W 5) 24 W
2) 49 W
A 3.0-kg object moving 8.0 m/s in the positive x direction has a one-dimensional elastic collision with an object (mass = M) initially at rest. After the collision the object of unknown mass has a velocity of 6.0 m/s in the positive x direction. What is M? Question options: 1) 7.5 kg 2) 5.0 kg 3) 6.0 kg 4) 4.2 kg 5) 8.0 kg
2) 5.0 kg
The only force acting on a 1.8-kg body as it moves along the x axis is given by Fx = -(3.0x) N, where x is in m. If the velocity of the body at x = 0 is vx = +8.0 m/s, at what value of x will the body have a velocity of +4.0 m/s? 1) 5.7 m 2) 5.4 m 3) 4.8 m 4) 4.1 m 5) 6.6 m
2) 5.4 m
As a 2.0-kg object moves from m to m, the constant resultant force acting on it is equal to N. If the speed of the object at the initial position is 4.0 m/s, what is its kinetic energy at its final position? 1) 62 J 2) 53 J 3) 73 J 4) 86 J 5) 24 J
2) 53 J
A 10-g bullet moving horizontally with a speed of 1.8 km/s strikes and passes through a 5.0-kg block initially at rest on a horizontal frictionless surface. The bullet emerges from the block with a speed of 1.0 km/s. What is the kinetic energy of the block immediately after the bullet emerges? Question options: 1) 8.0 J 2) 6.4 J 3) 5.3 J 4) 9.4 J 5) 10 J
2) 6.4 J
A spring (k = 600 N/m) is placed in a vertical position with its lower end supported by a horizontal surface. A 2.0-kg block that is initially 0.40 m above the upper end of the spring is dropped from rest onto the spring. What is the kinetic energy of the block at the instant it has fallen 0.50 m (compressing the spring 0.10 m)? 1) 5.3 J 2) 6.8 J 3) 6.3 J 4) 5.8 J 5) 6.5 J
2) 6.8 J
A 1.2-kg object moving with a speed of 8.0 m/s collides perpendicularly with a wall and emerges with a speed of 6.0 m/s in the opposite direction. If the object is in contact with the wall for 2.0 ms, what is the magnitude of the average force on the object by the wall? Question options: 1) 9.8 kN 2) 8.4 kN 3) 7.7 kN 4) 9.1 kN 5) 1.2 kN
2) 8.4 kN
A 5.0-g particle moving 60 m/s collides with a 2.0-g particle initially at rest. After the collision each of the particles has a velocity that is directed 30° from the original direction of motion of the 5.0-g particle. What is the speed of the 2.0-g particle after the collision? Question options: 1) 72 m/s 2) 87 m/s 3) 79 m/s 4) 94 m/s 5) 67 m/s
2) 87 m/s
A constant force of 12 N in the positive x direction acts on a 4.0-kg object as it moves from the origin to the point m. How much work is done by the given force during this displacement? 1) +60 J 2) +84 J 3) +72 J 4) +48 J 5) +57 J
3) +72 J
A 2.0-kg object moving 3.0 m/s strikes a 1.0-kg object initially at rest. Immediately after the collision, the 2.0-kg object has a velocity of 1.5 m/s directed 30° from its initial direction of motion. What is the y-component of the velocity of the 1.0-kg object just after the collision? Question options: 1) -3.7 m/s 2) -3.4 m/s 3) -1.5 m/s 4) -2.4 m/s 5) -4.1 m/s
3) -1.5 m/s
A 1.6-kg block slides down a plane (inclined at 25° with the horizontal) at a constant speed of 2.0 m/s. At what rate is the frictional force doing work on the block? 1) +28 W 2) +13 W 3) -13 W 4) -28 W 5) +6.5 W
3) -13 W
At what rate is the gravitational force on a 2.0-kg projectile doing work at an instant when the velocity of the projectile is 4.0 m/s directed 30° above the horizontal? 1) +39 W 2) -78 W 3) -39 W 4) +78 W 5) +25 W
3) -39 W
A 4.0-kg block is lowered down a 37° incline a distance of 5.0 m from point A to point B. A horizontal force (F = 10 N) is applied to the block between A and B as shown in the figure. The kinetic energy of the block at A is 10 J and at B it is 20 J. How much work is done on the block by the force of friction between A and B? 1) -58 J 2) -53 J 3) -68 J 4) -63 J 5) -47 J
3) -68 J
A 6.0-kg object, initially at rest in free space, "explodes" into three segments of equal mass. Two of these segments are observed to be moving with equal speeds of 20 m/s with an angle of 60° between their directions of motion. How much kinetic energy is released in this explosion? Question options: 1) 2.4 kJ 2) 2.9 kJ 3) 2.0 kJ 4) 3.4 kJ 5) 1.2 kJ
3) 2.0 kJ
A 2.0-kg block slides down a frictionless incline from point A to point B. A force (magnitude P = 3.0 N) acts on the block between A and B, as shown. Points A and B are 2.0 m apart. If the kinetic energy of the block at A is 10 J, what is the kinetic energy of the block at B? 1) 27 J 2) 20 J 3) 24 J 4) 17 J 5) 37 J
3) 24 J
Two vectors and are given by and . The scalar product of and a third vector is -16. The scalar product of and is +18. The z component of is 0. What is the magnitude of ? 1) 7.8 2) 6.4 3) 3.6 4) 5.0 5) 4.8
3) 3.6
A 2000-kg truck traveling at a speed of 6.0 m/s makes a 90° turn in a time of 4.0 s and emerges from this turn with a speed of 4.0 m/s. What is the magnitude of the average resultant force on the truck during this turn? Question options: 1) 4.0 kN 2) 5.0 kN 3) 3.6 kN 4) 6.4 kN 5) 0.67 kN
3) 3.6 kN
The only force acting on a 1.6-kg body as it moves along the x axis is given in the figure. If the velocity of the body at x = 2.0 m is 5.0 m/s, what is its kinetic energy at x = 5.0 m? 1) 52 J 2) 44 J 3) 36 J 4) 60 J 5) 25 J
3) 36 J
At an instant when a particle of mass 50 g has an acceleration of 80 m/s2 in the positive x direction, a 75-g particle has an acceleration of 40 m/s2 in the positive y direction. What is the magnitude of the acceleration of the center of mass of this two-particle system at this instant? Question options: 1) 60 m/s2 2) 56 m/s2 3) 40 m/s2 4) 50 m/s2 5) 46 m/s2
3) 40 m/s2
An 8.0-kg object moving 4.0 m/s in the positive x direction has a one-dimensional collision with a 2.0-kg object moving 3.0 m/s in the opposite direction. The final velocity of the 8.0-kg object is 2.0 m/s in the positive x direction. What is the total kinetic energy of the two-mass system after the collision? Question options: 1) 32 J 2) 52 J 3) 41 J 4) 25 J 5) 29 J
3) 41 J
A pendulum consists of a 2.0-kg block hanging on a 1.5-m length string. A 10-g bullet moving with a horizontal velocity of 900 m/s strikes, passes through, and emerges from the block (initially at rest) with a horizontal velocity of 300 m/s. To what maximum height above its initial position will the block swing? Question options: 1) 32 cm 2) 38 cm 3) 46 cm 4) 27 cm 5) 9 cm
3) 46 cm
A 1.0-kg object moving 9.0 m/s collides with a 2.0-kg object moving 6.0 m/s in a direction that is perpendicular to the initial direction of motion of the 1.0-kg object. The two masses remain together after the collision, and this composite object then collides with and sticks to a 3.0-kg object. After these collisions, the final composite (6.0-kg) object remains at rest. What was the speed of the 3.0-kg object before the collisions? Question options: 1) 15 m/s 2) 10 m/s 3) 5.0 m/s 4) 20 m/s 5) 25 m/s
3) 5.0 m/s
A 2.0-kg object moving with a velocity of 5.0 m/s in the positive x direction strikes and sticks to a 3.0-kg object moving with a speed of 2.0 m/s in the same direction. How much kinetic energy is lost in this collision? Question options: 1) 2.4 J 2) 9.6 J 3) 5.4 J 4) 0.6 J 5) 6.0 J
3) 5.4 J
A 2.0-kg block situated on a frictionless incline is connected to a light spring (k = 100 N/m), as shown. The block is released from rest when the spring is unstretched. The pulley is frictionless and has negligible mass. What is the speed of the block when it has moved 0.20 m down the plane? 1) 76 cm/s 2) 68 cm/s 3) 60 cm/s 4) 82 cm/s 5) 57 cm/s
3) 60 cm/s
A 10-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force (magnitude P) acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? 1) 8.3 J 2) 6.4 J 3) 7.0 J 4) 7.7 J 5) 3.9 J
3) 7.0 J
A 4.0-kg mass has a velocity of 4.0 m/s, east when it explodes into two 2.0-kg masses. After the explosion one of the masses has a velocity of 3.0 m/s at an angle of 60° north of east. What is the magnitude of the velocity of the other mass after the explosion? Question options: 1) 7.9 m/s 2) 8.9 m/s 3) 7.0 m/s 4) 6.1 m/s 5) 6.7 m/s
3) 7.0 m/s
A 5.0-kg object is pulled along a horizontal surface at a constant speed by a 15-N force acting 20° above the horizontal. How much work is done by this force as the object moves 6.0 m? 1) 78 J 2) 82 J 3) 85 J 4) 74 J 5) 43 J
3) 85 J
A 2.5-kg object falls vertically downward in a viscous medium at a constant speed of 2.5 m/s. How much work is done by the force the viscous medium exerts on the object as it falls 80 cm? 1) +2.0 J 2) +20 J 3) -2.0 J 4) -20 J 5) +40 J
4) -20 J
If = 6.0, = 5.0, and a = 40°, determine the scalar product of the two vectors shown. 1) +19 2) +23 3) -19 4) -23 5) +30
4) -23
A body moving along the x axis is acted upon by a force Fx that varies with x as shown. How much work is done by this force as the object moves from x = 1 m to x = 8 m? 1) -2 J 2) -18 J 3) -10 J 4) -26 J 5) +18 J
4) -26 J
A 1.6-kg ball is attached to the end of a 0.40-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a 0.80-kg block initially at rest on a horizontal frictionless surface. The speed of the block just after the collision is 3.0 m/s. What is the speed of the ball just after the collision? Question options: 1) 1.7 m/s 2) 1.1 m/s 3) 1.5 m/s 4) 1.3 m/s 5) 2.1 m/s
4) 1.3 m/s
If , , and , what is the angle between the two vectors when they are drawn starting from the same point? 1) 118° 2) 107° 3) 112° 4) 103° 5) 77°
4) 103°
A 5.0-kg mass with an initial velocity of 4.0 m/s, east collides with a 4.0-kg mass with an initial velocity of 3.0 m/s, west. After the collision the 5.0-kg mass has a velocity of 1.2 m/s, south. What is the magnitude of the velocity of the 4.0-kg mass after the collision? Question options: 1) 2.0 m/s 2) 1.5 m/s 3) 1.0 m/s 4) 2.5 m/s 5) 3.0 m/s
4) 2.5 m/s
If the scalar product of two vectors, and , is equal to -3.5, if , and the angle between the two vectors when they are drawn starting from the same point is equal to 130°, what is the magnitude of ? 1) 2.1 2) 2.5 3) 2.3 4) 2.7 5) 3.1
4) 2.7
A 6.0-kg object moving 5.0 m/s collides with and sticks to a 2.0-kg object. After the collision the composite object is moving 2.0 m/s in a direction opposite to the initial direction of motion of the 6.0-kg object. Determine the speed of the 2.0-kg object before the collision. Question options: 1) 15 m/s 2) 7.0 m/s 3) 8.0 m/s 4) 23 m/s 5) 11 m/s
4) 23 m/s
Starting from rest at t = 0, a 5.0-kg block is pulled across a horizontal surface by a constant horizontal force having a magnitude of 12 N. If the coefficient of friction between the block and the surface is 0.20, at what rate is the 12-N force doing work at t = 5.0 s? 1) 0.13 kW 2) 0.14 kW 3) 0.12 kW 4) 26 W 5) 12 W
4) 26 W
A rocket moving in outer space maintains a constant acceleration (magnitude = 20 m/s2) while ejecting fuel at a speed of 15 km/s relative to the rocket. If the initial mass of the rocket is 3000 kg, what is the magnitude of the thrust after 800 kg of fuel have been consumed? Question options: 1) 56 kN 2) 48 kN 3) 52 kN 4) 44 kN 5) 36 kN
4) 44 kN
The only force acting on a 2.0-kg body as it moves along the x axis is given by Fx = (12 - 2.0x) N, where x is in m. The velocity of the body at x = 2.0 m is 5.5i m/s. What is the maximum kinetic energy attained by the body? 1) 36 J 2) 39 J 3) 43 J 4) 46 J 5) 30 J
4) 46 J
A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest. After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction. What was the initial speed of the 3.0 kg object? Question options: 1) 6.0 m/s 2) 7.0 m/s 3) 4.5 m/s 4) 8.0 m/s 5) 5.5 m/s
4) 8.0 m/s
An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction. How much kinetic energy is lost in this collision? Question options: 1) 96 J 2) 89 J 3) 175 J 4) 86 J 5) 110 J
4) 86 J
The same constant force is used to accelerate two carts of the same mass, initially at rest, on horizontal frictionless tracks. The force is applied to cart A for twice as long a time as it is applied to cart B. The work the force does on A is WA; that on B is WB. Which statement is correct? 1) WA = WB. 2) WA = WB. 3) WA = 2 WB. 4) WA = 4 WB. 5) WB = 2 WA.
4) WA = 4 WB.
Two bodies with masses m1 and m2 are both moving east with velocities of magnitudes v1 and v2, where v1 is less than v2. The magnitude of the velocity of the center of mass of this system of two bodies is Question options: 1) less than v1. 2) equal to v1. 3) equal to the average of v1 and v2. 4) greater than v1 and less than v2. 5) greater than v2.
4) greater than v1 and less than v2.
If the vectors and have magnitudes of 10 and 11, respectively, and the scalar product of these two vectors is -100, what is the magnitude of the sum of these two vectors? 1) 6.6 2) 4.6 3) 8.3 4) 9.8 5) 7.6
2) 4.6
If = 5.0, = 8.0, and a = 30°, determine the scalar product of the two vectors shown. 1) -35 2) +35 3) -20 4) +20 5) +40
1) -35
The position of a particle as it moves along the x axis is given by x = 15e−2t m, where t is in s. What is the acceleration of the particle at t = 1 s? 1) 22 m/s 2) 60 m/s 3) 8.1 m/s 4) 15 m/s 5) 35 m/s
3) 8.1 m/s
A force acting on an object moving along the x axis is given by Fx = (14x - 3.0x2) N where x is in m. How much work is done by this force as the object moves from x = -1 m to x = +2 m? 1) +12 J 2) +28 J 3) +40 J 4) +42 J 5) -28 J
1) +12 J
If = 10, = 15, and a = 130°, determine the scalar product of the two vectors shown. 1) +96 2) -96 3) +51 4) -51 5) -35
1) +96
A 2.0-kg mass is projected vertically upward from ground level with an initial speed of 30 m/s. The mass rises to a maximum height of 35 m above ground level. How much work is done on the mass by air resistance between the point of projection and the point of maximum height? 1) -0.21 kJ 2) -0.47 kJ 3) -0.40 kJ 4) -0.34 kJ 5) -0.69 kJ
1) -0.21 kJ
A block slides on a rough horizontal surface from point A to point B. A force (magnitude P = 2.0 N) acts on the block between A and B, as shown. Points A and B are 1.5 m apart. If the kinetic energies of the block at A and B are 5.0 J and 4.0 J, respectively, how much work is done on the block by the force of friction as the block moves from A to B? 1) -3.3 J 2) +1.3 J 3) +3.3 J 4) -1.3 J 5) +4.6 J
1) -3.3 J
A 3.0-kg block is dragged over a rough horizontal surface by a constant force of 16 N acting at an angle of 37° above the horizontal as shown. The speed of the block increases from 4.0 m/s to 6.0 m/s in a displacement of 5.0 m. What work was done by the friction force during this displacement? 1) -34 J 2) -64 J 3) -30 J 4) -94 J 5) +64 J
1) -34 J
A car travels in an oval path as shown below. = 25 m/s, West, and = 20 m/s, North. The ratio of the magnitude of the centripetal acceleration at B to that at A, , is: GRAPH THING 1) 0.512 2) 0.64 3) 0.8 4) 1.25 5) 1.56
1) 0.512
In 20 minutes, Kara ran 2.40 km on a treadmill facing due east. Relative to the gym, what were her displacement and average velocity during this time interval? 1) 0; 0 2) 0; 2.00 m/s 3) 2.40 km, east; 0 4) 2.40 km, east; 2.00 m/s, east 5) 2.40 km, west; 2.00 m/s, west
1) 0; 0
A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes. Her first lap is toward the north. Her displacement and average velocity are 1) 0; 0. 2) 0; 2.38 m/s, south. 3) 0; 2.38 m/s, north. 4) 1000 m, south; 2.38 m/s, south. 5) 1000 m, north; 2.38 m/s, north.
1) 0; 0.
A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m/s2 for 6.0 s until its motor stops. Disregarding any air resistance, what maximum height above the ground will the rocket achieve? 1) 1.1 km 2) 0.73 km 3) 1.9 km 4) 0.39 km 5) 1.5 km
1) 1.1 km
At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i - 4.0j)m/s2. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle? 1) 10 m/s 2) 16 m/s 3) 12 m/s 4) 14 m/s 5) 26 m/s
1) 10 m/s
A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves the bench, to two significant figures, the magnitudes of his velocity and acceleration are: 1) 10 m/s; 9.8 m/s2. 2) 9.0 m/s; 9.8 m/s2. 3) 9.0 m/s; 9.0 m/s2. 4) 1.0 m/s; 9.0 m/s2. 5) 1.0 m/s; 9.8 m/s2.
1) 10 m/s; 9.8 m/s2.
The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball? 1) 16 s 2) 21 s 3) 24 s 4) 14 s 5) 19 s
1) 16 s
A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point will the ball and stone pass each other? 1) 17 m 2) 21 m 3) 18 m 4) 27 m 5) 31 m
1) 17 m
A ball thrown vertically from ground level is caught 3.0 s later by a person on a balcony which is 14 m above the ground. Determine the initial speed of the ball. 1) 19 m/s 2) 4.7 m/s 3) 10 m/s 4) 34 m/s 5) 17 m/s
1) 19 m/s
A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground? 1) 2.0 s 2) 6.1 s 3) 3.5 s 4) 1.6 s 5) 1.0 s
1) 2.0 s
In a location where the train tracks run parallel to a road, a high speed train traveling at 60 m/s passes a car traveling at 30 m/s in the opposite direction. How long does it take for the train to be 180 m away from the car? 1) 2.0 s 2) 3.0 s 3) 6.0 s 4) 9.0 s 5) 18.0 s
1) 2.0 s
An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time? 1) 2.2 m/s2 2) 2.7 m/s2 3) 3.3 m/s2 4) 3.8 m/s2 5) 4.4 m/s2
1) 2.2 m/s2
A particle moving along the x axis has a position given by x = (24t - 2.0t3) m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero? 1) 24 m/s2 2) zero 3) 12 m/s2 4) 48 m/s2 5) 36 m/s2
1) 24 m/s2
One mole of the carbon-12 isotope contains 6.022 ´ 1023 atoms. What volume in m3 would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side? Question options: 1) 4.8 ´ 10^18 2) 1.2 ´ 10^22 3) 6.0 ´ 10^23 4) 1.2 ´ 10^24 5) 4.8 ´ 10^24
1) 4.8 * 10^18
While her kid brother is on a wooden horse at the edge of a merry-go-round, Sheila rides her bicycle parallel to its edge. The wooden horses have a tangential speed of 6 m/s. Sheila rides at 4 m/s. The radius of the merry-go-round is 8 m. At what time intervals does Sheila encounter her brother, if she rides opposite to the direction of rotation of the merry-go-round? 1) 5.03 s 2) 8.37 s 3) 12.6 s 4) 25.1 s 5) 50.2 s
1) 5.03 s
A proton moving along the x axis has an initial velocity of 4.0 × 106 m/s and a constant acceleration of 6.0 × 1012 m/s2. What is the velocity of the proton after it has traveled a distance of 80 cm? 1) 5.1 × 106 m/s 2) 6.3 × 106 m/s 3) 4.8 × 106 m/s 4) 3.9 × 106 m/s 5) 2.9 × 106 m/s
1) 5.1 × 106 m/s
One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10+3 cm3.) 1) 53 2) 21 3) 14 4) 8 5) 4
1) 53
A 4.2-kg object, initially at rest, "explodes" into three objects of equal mass. Two of these are determined to have velocities of equal magnitudes (5.0 m/s) with directions that differ by 90°. How much kinetic energy was released in the explosion? Question options: 1) 70 J 2) 53 J 3) 60 J 4) 64 J 5) 35 J
1) 70 J
The pilot of an aircraft flies due north relative to the ground in a wind blowing 40 km/h toward the east. If his speed relative to the ground is 80 km/h, what is the speed of his airplane relative to the air? 1) 89 km/h 2) 85 km/h 3) 81 km/h 4) 76 km/h 5) 72 km/h
1) 89 km/h
An automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0 s. What is the magnitude of the constant acceleration required to do this? 1) 9.9 m/s2 2) 8.9 m/s2 3) 6.6 m/s2 4) 5.6 m/s2 5) 4.6 m/s2
1) 9.9 m/s2
A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 24 m/s west, and the total acceleration of the car is 2.5 m/s2 53° north of west. Which of the following is correct? 1) R = 0.29 km, and the car's speed is increasing. 2) R = 0.23 km, and the car's speed is decreasing. 3) R = 0.23 km, and the car's speed is increasing. 4) R = 0.29 km, and the car's speed is decreasing 5) R = 0.29 km, and the car's speed is constant.
1) R = 0.29 km, and the car's speed is increasing.
The quantity with the same units as force times time, Ft, with dimensions MLT-1 is Question options: 1) mv 2) mvr 3) mv2r 4) ma 5) mar
1) mv
The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0t − 2.00t3) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction? 1) −64.0 m/s2 2) zero 3) 128 m/s2 4) 32.0 m/s2 5) −32.0 m/s2
1) −64.0 m/s2
A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = −30 cm. What is the acceleration of the particle? 1) −7.3 cm/s2 2) −8.9 cm/s2 3) −11 cm/s2 4) −15 cm/s2 5) −13 cm/s2
1) −7.3 cm/s2
A 0.40-kg particle moves under the influence of a single conservative force. At point A where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is +40 J. As the particle moves from A to B, the force does +25 J of work on the particle. What is the value of the potential energy at point B? 1) +65 J 2) +15 J 3) +35 J 4) +45 J 5) -40 J
2) +15 J
A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2.0 cm/s2. For the next 20 s, the acceleration of the particle is −1.0 cm/s2. What is the position of the particle at the end of this motion? 1) zero 2) +3.0 m 3) −1.0 m 4) +2.0 m 5) −3.0 m
2) +3.0 m
A 3.0-kg mass is dropped from the edge of a 50-m tall building with an initial speed of zero. The mass strikes the ground with a downward velocity of 25 m/s. How much work is done on the mass by air resistance between the point where it is dropped and the point where it strikes the ground? 1) -0.46 kJ 2) -0.53 kJ 3) -0.61 kJ 4) -0.38 kJ 5) -0.81 kJ
2) -0.53 kJ
A 10-kg object is dropped from rest. After falling a distance of 50 m, it has a speed of 26 m/s. How much work is done by the dissipative (air) resistive force on the object during this descent? 1) -1.3 kJ 2) -1.5 kJ 3) -1.8 kJ 4) -2.0 kJ 5) -2.3 kJ
2) -1.5 kJ
Instructions: On occasion, the notation = [A, q] will be a shorthand notation for . If and , what is the direction of the vector ? 1) -49° 2) -41° 3) -90° 4) +49° 5) +21°
2) -41°
A particle confined to motion along the x axis moves with constant acceleration from x = 2.0 m to x = 8.0 m during a 2.5-s time interval. The velocity of the particle at x = 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 1) 0.48 m/s2 2) 0.32 m/s2 3) 0.64 m/s2 4) 0.80 m/s2 5) 0.57 m/s2
2) 0.32 m/s2
A 2.0-kg block sliding on a rough horizontal surface is attached to one end of a horizontal spring (k = 250 N/m) which has its other end fixed. The block passes through the equilibrium position with a speed of 2.6 m/s and first comes to rest at a displacement of 0.20 m from equilibrium. What is the coefficient of kinetic friction between the block and the horizontal surface? 1) 0.32 2) 0.45 3) 0.58 4) 0.19 5) 0.26
2) 0.45
A 2.0-kg mass is projected from the edge of the top of a 20-m tall building with a velocity of 24 m/s at some unknown angle above the horizontal. Disregard air resistance and assume the ground is level. What is the kinetic energy of the mass just before it strikes the ground? 1) 0.18 kJ 2) 0.97 kJ 3) 0.89 kJ 4) 0.26 kJ 5) 0.40 kJ
2) 0.97 kJ
A 2.0-kg mass swings at the end of a light string (length = 3.0 m). Its speed at the lowest point on its circular path is 6.0 m/s. What is its kinetic energy at an instant when the string makes an angle of 50° with the vertical? 1) 21 J 2) 15 J 3) 28 J 4) 36 J 5) 23 J
2) 15 J
The speed of a particle moving in a circle 2.0 m in radius increases at the constant rate of 4.4 m/s2. At an instant when the magnitude of the total acceleration is 6.0 m/s2, what is the speed of the particle? 1) 3.9 m/s 2) 2.9 m/s 3) 3.5 m/s 4) 3.0 m/s 5) 1.4 m/s
2) 2.9 m/s
While the gondola is rising at a speed of 2.0 m/s, a passenger in a balloon-supported gondola throws a small ball down at a speed of 5.0 m/s relative to his body. A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is 1) 2.0 m/s, up. 2) 3.0 m/s, down. 3) 3.0 m/s, up. 4) 5.0 m/s, down. 5) 12.8 m/s, down.
2) 3.0 m/s, down.
A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction. If the top of the building is 30 m above the ground, how fast will the projectile be moving just before it strikes the ground? 1) 35 m/s 2) 39 m/s 3) 31 m/s 4) 43 m/s 5) 54 m/s
2) 39 m/s
The position of a particle as it moves along the x axis is given for t > 0 by x = (t3 − 3t2 + 6t) m, where t is in s. Where is the particle when it achieves its minimum speed (after t= 0)? 1) 3 m 2) 4 m 3) 8 m 4) 2 m 5) 7 m
2) 4 m
A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What is the acceleration of a passenger at his lowest point during the ride? 1) 5.7 m/s2 downward 2) 4.1 m/s2 upward 3) 14 m/s2 downward 4) 4.1 m/s2 downward 5) 19 m/s2 downward
2) 4.1 m/s2 upward
An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m. If the acceleration is constant, how much time elapses while the auto moves this distance? 1) 6.00 s 2) 4.50 s 3) 3.60 s 4) 4.00 s 5) 9.00 s
2) 4.50 s
An object is thrown downward with an initial (t = 0) speed of 10 m/s from a height of 60 m above the ground. At the same instant (t = 0), a second object is propelled vertically upward from ground level with a speed of 40 m/s. At what height above the ground will the two objects pass each other? 1) 53 m 2) 41 m 3) 57 m 4) 46 m 5) 37 m
2) 41 m
A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 65 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground? 1) 43 m/s 2) 47 m/s 3) 39 m/s 4) 36 m/s 5) 14 m/s
2) 47 m/s
A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? 1) 61° 2) 54° 3) 69° 4) 77° 5) 47°
2) 54°
A block (mass = 4.0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position? 1) 71 cm/s 2) 60 cm/s 3) 80 cm/s 4) 87 cm/s 5) 57 cm/s
2) 60 cm/s
A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s. What is the magnitude of the acceleration of the race car? 1) 8.8 m/s2 2) 7.5 m/s2 3) 9.4 m/s2 4) 6.3 m/s2 5) 5.3 m/s2
2) 7.5 m/s2
A spring (k = 200 N/m) is suspended with its upper end supported from a ceiling. With the spring hanging in its equilibrium configuration, an object (mass = 2.0 kg) is attached to the lower end and released from rest. What is the speed of the object after it has fallen 4.0 cm? 1) 90 cm/s 2) 79 cm/s 3) 96 cm/s 4) 83 cm/s 5) 57 cm/s
2) 79 cm/s
A car travels in a due northerly direction at a speed of 55 km/h. The traces of rain on the side windows of the car make an angle of 60 degrees with respect to the horizontal. If the rain is falling vertically with respect to the earth, what is the speed of the rain with respect to the earth? 1) 48 km/h 2) 95 km/h 3) 58 km/h 4) 32 km/h 5) 80 km/h
2) 95 km/h
Given the equations below, which description best fits the physical situation? -99.6m=(-40.0m/s)(2.00s) - 1/2(9.80m/s2)(2.00s)2 1) A projectile's displacement two seconds after being fired downward with a speed of 30.0 m/s. 2) A projectile's displacement two seconds after being fired downward with a speed of 40.0 m/s. 3) A projectile's displacement two seconds after being fired downward with a speed of 50.0 m/s. 4) A projectile's displacement two seconds after being fired downward with a speed of 60.0 m/s. 5) A projectile's displacement two seconds after being fired downward with a speed of 80.0 m/s.
2) A projectile's displacement two seconds after being fired downward with a speed of 40.0 m/s.
Car A leaves point O at t = 0 and travels a quarter circle counterclockwise at 30.0 m/s to point P. Car B will leave point O and travel to point P at the same speed but in a straight line. The radius of the circle is 100 m. At what time should car B leave point O in order to arrive at point P at the same time as car A? 1) At t = 0. 2) At t = 0.53 s. 3) At t = 4.71 s. 4) At t = 4.98 s. 5) At t = 5.24 s.
2) At t = 0.53 s.
A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 20 m/s north, and the total acceleration of the car is 2.5 m/s2 37° south of west. Which of the following is correct? 1) R = 0.40 km, and the car's speed is decreasing. 2) R = 0.20 km, and the car's speed is decreasing. 3) R = 0.20 km, and the car's speed is increasing. 4) R = 0.16 km, and the car's speed is increasing. 5) R = 0.16 km, and the car's speed is decreasing.
2) R = 0.20 km, and the car's speed is decreasing.
Two identical balls are at rest side by side at the bottom of a hill. Some time after ball A is kicked up the hill, ball B is given a kick up the hill. Ball A is headed downhill when it passes ball B headed up the hill. At the instant when ball A passes ball B, 1) it has the same position and velocity as ball B. 2) it has the same position and acceleration as ball B. 3) it has the same velocity and acceleration as ball B. 4) it has the same displacement and velocity as ball B. 5) it has the same position, displacement and velocity as ball B.
2) it has the same position and acceleration as ball B.
A 2.0-kg block slides down a fixed, rough curved track. The block has a speed of 5.0 m/s after its height above a horizontal surface has decreased by 1.8 m. Assume the block starts from rest. How much work is done on the block by the force of friction during this descent? 1) -14 J 2) -12 J 3) -10 J 4) -16 J 5) -25 J
3) -10 J
Two identical balls are at rest and side by side at the top of a hill. You let one ball, A, start rolling down the hill. A little later you start the second ball, B, down the hill by giving it a shove. The second ball rolls down the hill along a line parallel to the path of the first ball and passes it. At the instant ball B passes ball A: 1) it has the same position and the same velocity as A. 2) it has the same position and the same acceleration as A. 3) it has the same velocity and the same acceleration as A. 4) it has the same displacement and the same velocity as A. 5) it has the same position, displacement and velocity as A.
2) it has the same position and the same acceleration as A.
The density of an object is defined as: Question options: 1) the volume occupied by each unit of mass. 2) the amount of mass for each unit of volume. 3) the weight of each unit of volume. 4) the amount of the substance that has unit volume and unit mass. 5) the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope.
2) the amount of mass for each unit of volume.
The area under a graph of ax vs t from t = ti to t = tf represents 1) xf − xi. 2) vf − vi. 3) xavg. 4) vavg. 5) aavg.
2) vf − vi.
A bullet is fired through a board, 14.0 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s, what is the bullet's acceleration as it passes through the board? 1) −500 km/s2 2) −550 km/s2 3) −360 km/s2 4) −520 km/s2 5) −275 km/s2
2) −550 km/s2
A stunt pilot performs a circular dive of radius 800 m. At the bottom of the dive (point B in the figure) the pilot has a speed of 200 m/s which at that instant is increasing at a rate of 20 m/s2. What acceleration does the pilot have at point B? HALF CIRCLE GRAPH 1) (50i + 20j) m/s2 2) (20i - 50j) m/s2 3) (20i + 50j) m/s2 4) (-20i + 50j) m/s2 5) (-50i + 20j) m/s2
3) (20i + 50j) m/s2
An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time. Determine the acceleration of the object during this motion. 1) −1.6 m/s2 2) +6.4 m/s2 3) +1.6 m/s2 4) −2.0 m/s2 5) −6.4 m/s2
3) +1.6 m/s2
In a given displacement of a particle, its kinetic energy increases by 25 J while its potential energy decreases by 10 J. Determine the work of the nonconservative forces acting on the particle during this displacement. 1) -15 J 2) +35 J 3) +15 J 4) -35 J 5) +55 J
3) +15 J
If , , and the angle between and (when the two are drawn starting from the same point) is 60°, what is the scalar product of these two vectors? 1) -13 2) +13 3) +37 4) -37 5) 73
3) +37
As a 1.0-kg object moves from point A to point B, it is acted upon by a single conservative force which does -40 J of work during this motion. At point A the speed of the particle is 6.0 m/s and the potential energy associated with the force is +50 J. What is the potential energy at point B? 1) +72 J 2) +10 J 3) +90 J 4) +28 J 5) +68 J
3) +90 J
As a particle moves along the x axis it is acted upon by a single conservative force given by Fx = (20 - 4.0x) N where x is in m. The potential energy associated with this force has the value +30 J at the origin (x = 0). What is the value of the potential energy at x = 4.0 m? 1) -48 J 2) +78 J 3) -18 J 4) +48 J 5) +80 J
3) -18 J
A 25-kg block on a horizontal surface is attached to a light spring (force constant = 8.0 kN/m). The block is pulled 10 cm to the right from its equilibrium position and released from rest. When the block has moved 2.0 cm toward its equilibrium position, its kinetic energy is 12 J. How much work is done by the frictional force on the block as it moves the 2.0 cm? 1) -4.0 J 2) -3.5 J 3) -2.4 J 4) -2.9 J 5) -15 J
3) -2.4 J
A 0.75-kg sphere is released from rest and is moving 5.0 m/s after falling 2.0 m in a viscous medium. How much work is done by the force the viscous medium exerts on the sphere during this descent? 1) -6.1 J 2) -4.6 J 3) -5.3 J 4) -6.8 J 5) -2.7 J
3) -5.3 J
A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 24 m/s west, and the acceleration of the car has components of 2.4 m/s2 east and 1.8 m/s2 south. What is the radius of the circle? 1) 0.24 km 2) 0.19 km 3) 0.32 km 4) 0.14 km 5) 0.27 km
3) 0.32 km
A standard exam page is 8.5 inches by 11.0 inches. An exam that is 2.0 mm thick has a volume of 1) 1.9 ´ 10^4 mm3. 2) 4.7 ´ 10^4 mm3. 3) 1.2 ´ 10^5 mm3. 4) 3.1 ´ 10^5 mm3. 5) 3.1 ´ 10^3 mm3.
3) 1.2 * 10^5 mm3.
An electron, starting from rest and moving with a constant acceleration, travels 2.0 cm in 5.0 ms. What is the magnitude of this acceleration? 1) 2.5 km/s2 2) 0.80 km/s2 3) 1.6 km/s2 4) 1.3 km/s2 5) 3.2 km/s2
3) 1.6 km/s2
The site from which an airplane takes off is the origin. The x-axis points east; the y-axis points straight up. The position and velocity vectors of the plane at a later time are given by x=(1.61x10^4i+9.00x10^3j)m and v=(150i-21j)m/s The magnitude, in meters, of the plane's displacement from the origin is 1) 9.14 ´ 103. 2) 1.61 ´ 104. 3) 1.84 ´ 104. 4) 9.14 ´ 103t. 5) 1.61 ´ 104t.
3) 1.84 ´ 104.
An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m. What is the (constant) acceleration of the vehicle during this time? 1) 8.0 m/s 2) 9.6 m/s 3) 12 m/s 4) 6.9 m/s 5) 0.20 m/s
3) 12 m/s
A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle makes four revolutions each second, what is the magnitude of its acceleration? 1) 20 m/s2 2) 18 m/s2 3) 13 m/s2 4) 15 m/s2 5) 24 m/s2
3) 13 m/s2
A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after being hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 97.5 m from where it was hit. How high is the fence? 1) 8.2 m 2) 15.8 m 3) 13.4 m 4) 11.0 m 5) 4.9 m
3) 13.4 m
A space station of diameter 80 m is turning about its axis at a constant rate. If the acceleration of the outer rim of the station is 2.5 m/s2, what is the period of revolution of the space station? 1) 22 s 2) 19 s 3) 25 s 4) 28 s 5) 40 s
3) 25 s
A skier leaves a ski jump with a horizontal velocity of 29.4 m/s. The instant before she lands three seconds later, the magnitudes of the horizontal and vertical components of her velocity are: 1) 0; 29.4 m/s. 2) 29.4 m/s; 0. 3) 29.4 m/s; 29.4 m/s. 4) 29.4 m/s; 41.6 m/s. 5) 41.6 m/s; 41.6 m/s.
3) 29.4 m/s; 29.4 m/s.
A 0.80-kg object tied to the end of a 2.0-m string swings as a pendulum. At the lowest point of its swing, the object has a kinetic energy of 10 J. Determine the speed of the object at the instant when the string makes an angle of 50° with the vertical. 1) 5.6 m/s 2) 4.4 m/s 3) 3.3 m/s 4) 5.0 m/s 5) 6.1 m/s
3) 3.3 m/s
A 2.0-kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position, what is its speed when it is 20 cm from the equilibrium position? 1) 2.6 m/s 2) 3.1 m/s 3) 3.5 m/s 4) 1.9 m/s 5) 2.3 m/s
3) 3.5 m/s
An all-terrain vehicle of 2000 kg mass moves up a 15.0° slope at a constant velocity of 6.00 m/s. The rate of change of gravitational potential energy with time is 1) 5.25 kW. 2) 24.8 kW. 3) 30.4 kW. 4) 118 kW. 5) 439 kW.
3) 30.4 kW.
A rifle is aimed horizontally at the center of a large target 60 m away. The initial speed of the bullet is 240 m/s. What is the distance from the center of the target to the point where the bullet strikes the target? 1) 48 cm 2) 17 cm 3) 31 cm 4) 69 cm 5) 52 cm
3) 31 cm
Instructions: On occasion, the notation = [A, q] will be a shorthand notation for A=AcosTheta + AsinTheta If = (6i-8j) = (15, 80) and B=12i-16j, what is the magnitude of A-B? Question options: 1) 15 2) 35 3) 32 4) 5.0 5) 23
3) 32
A 2.5-kg object suspended from the ceiling by a string that has a length of 2.5 m is released from rest with the string 40° below the horizontal position. What is the tension in the string at the instant when the object passes through its lowest position? 1) 11 N 2) 25 N 3) 42 N 4) 18 N 5) 32 N
3) 42 N
When Jim and Rob ride bicycles, Jim can only accelerate at three quarters the acceleration of Rob. Both start from rest at the bottom of a long straight road with constant upward slope. If Rob takes 5.0 minutes to reach the top, how much earlier should Jim start to reach the top at the same time as Rob? 1) 25 s 2) 40 s 3) 46 s 4) 55 s 5) 75 s
3) 46 s
If you drove day and night without stopping for one year without exceeding the legal highway speed limit in the United States, the maximum number of miles you could drive would be closest to: Question options: 1) 8700. 2) 300 000. 3) 500 000. 4) 1 000 000. 5) 32 000 000.
3) 500 000.
In a location where the train tracks run parallel to a road, a high speed train traveling at 60 m/s passes a car traveling at 30 m/s. How long does it take for the train to be 180 m ahead of the car? 1) 2.0 s 2) 3.0 s 3) 6.0 s 4) 9.0 s 5) 18.0 s
3) 6.0 s
A rock is thrown from the edge of the top of a 100-ft tall building at some unknown angle above the horizontal. The rock strikes the ground a horizontal distance of 160 ft from the base of the building 5.0 s after being thrown. Assume that the ground is level and that the side of the building is vertical. Determine the speed with which the rock was thrown. 1) 72 ft/s 2) 77 ft/s 3) 68 ft/s 4) 82 ft/s 5) 87 ft/s
3) 68 ft/s
A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s. It strikes the ground 3.0 s later. Determine the initial height of the rock above the ground. 1) 44 m 2) 14 m 3) 74 m 4) 30 m 5) 60 m
3) 74 m
A 0.14-km wide river flows with a uniform speed of 4.0 m/s toward the east. It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank. What is the speed of the boat relative to the water? 1) 5.7 m/s 2) 8.5 m/s 3) 8.1 m/s 4) 7.0 m/s 5) 6.4 m/s
3) 8.1 m/s
Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin? 1) Joan has run a greater distance and her displacement is greater than Mike's. 2) Mike has run a greater distance and his displacement is greater than Joan's. 3) Joan has run a greater distance, but her displacement is less than Mike's. 4) Mike has run a greater distance, but his displacement is less than Joan's. 5) Mike has run a shorter distance, and his displacement is less than Joan's.
3) Joan has run a greater distance, but her displacement is less than Mike's.
A juggler throws two balls to the same height so that one is at the halfway point going up when the other is at the halfway point coming down. At that point: 1) Their velocities and accelerations are equal. 2) Their velocities are equal but their accelerations are equal and opposite. 3) Their accelerations are equal but their velocities are equal and opposite. 4) Their velocities and accelerations are both equal and opposite. 5) Their velocities are equal to their accelerations.
3) Their accelerations are equal but their velocities are equal and opposite.
Newton approximated motion in a circle as a series of linear motions, as in the polygon below. HEXAGON If we assume the particle moves at constant speed vA from A to B, and at constant speed vB from B to C, the direction of the acceleration, , at point B, is shown by the arrow in Question options: 1) left 2) diagonal right down 3) diagonal left down 4) diagonal left up 5) diagonal right up
3) diagonal left down
Newton approximated motion in a circle as a series of linear motions, as in the polygon below. RIGHT ANGLE LEFT OF SQUARE M If we assume the particle moves at constant speed vA from A to B, and at constant speed vB from B to C, the direction of the change in velocity, , at point B, is shown by the arrow in 1) left 2) diagonal left down 3) diagonal left down 4) diagonal left up 5) diagonal right up
3) diagonal left down
Two cooks standing side by side in a restaurant pull their beaters out of the dough at the same instant. A glob of dough flies off each beater. Each glob lands on the top of a tin the same horizontal distance away and at its initial height. However, one lands later than the other. The explanation is that they left the beaters at angles q1 and q2 such that: 1) q2 = -q1. 2) q1 + q2 = pi/4 3) q1 + q2 = pi/2. 4) q1 + q2 = p. 5) q1 - q2 = p.
3) q1 + q2 = pi/2.
To help Kim practice for the Special Olympics, Sally runs beside him for half the required distance. She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim. What is the ratio of Sally's regular speed to Kim's speed? Use tKim for Kim's total time. 1) tKim/90s 2) tKim/tKim - 90s 3) tKim/tKim 180s 4) tKim/180s 5)tKim - 90s/tKim - 180s
3) tKim/tKim 180s
A large spring is used to stop the cars after they come down the last hill of a roller coaster. The cars start at rest at the top of the hill and are caught by a mechanism at the instant their velocities at the bottom are zero. Compare the compression of the spring, xA, for a fully loaded car with that, xB, for a lightly loaded car when mA = 2mB. 1) xA = xB. 2) xA = xB. 3) xA = xB. 4) xA = 2 xB. 5) xA = 4 xB.
3) xA = xB.
The area under a graph of vx vs t from t = ti to t = tf represents 1) xi. 2) xf. 3) xf − xi. 4) (xi + xf). 5) xi + xf.
3) xf − xi.
The position of a particle moving along the x axis is given by x = (21 + 22t − 6.0t2)m, where t is in s. What is the average velocity during the time interval t = 1.0 s to t = 3.0 s? 1) −6.0 m/s 2) −4.0 m/s 3) −2.0 m/s 4) −8.0 m/s 5) 8.0 m/s
3) −2.0 m/s
Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (-2, -6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin? Question options: 1) (-1, -3) m 2) (-1, 2) m 3) (-1, 12) m 4) (-1, 7) m 5) (-1, 3) m
4) (-1, 7) m
A 12-kg projectile is launched with an initial vertical speed of 20 m/s. It rises to a maximum height of 18 m above the launch point. How much work is done by the dissipative (air) resistive force on the projectile during this ascent? 1) -0.64 kJ 2) -0.40 kJ 3) -0.52 kJ 4) -0.28 kJ 5) -0.76 kJ
4) -0.28 kJ
A spring with spring constant k = 800 N/m is compressed 12 cm from its equilibrium position. A spring with spring constant k = 400 N/m has the same elastic potential energy as the first spring when its extension is 1) 0.060 cm. 2) 0.085 cm. 3) 0.12 cm. 4) 0.17 cm. 5) 0.24 cm.
4) 0.17 cm.
A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s2. At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves? 1) 1.9 km 2) 1.3 km 3) 1.6 km 4) 1.0 km 5) 2.1 km
4) 1.0 km
When starting from rest at the bottom of a straight road with constant upward slope, Joan bicycles to the top 50.0 s ahead of Sally, whose travel time is 5.00 minutes. What is the ratio of Joan's acceleration to Sally's acceleration? 1) 0.694 2) 0.833 3) 1.20 4) 1.44 5) 6.0
4) 1.44
At the lowest point in a vertical dive (radius = 0.58 km), an airplane has a speed of 300 km/h which is not changing. Determine the magnitude of the acceleration of the pilot at this lowest point. 1) 26 m/s2 2) 21 m/s2 3) 16 m/s2 4) 12 m/s2 5) 8.8 m/s2
4) 12 m/s2
The position of a particle moving along the x axis is given by x = 6.0t2 − 1.0t3, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? 1) 24 m 2) 12 m 3) 32 m 4) 16 m 5) 2.0 m
4) 16 m
If each frame of a motion picture film is 35 cm high, and 24 frames go by in a second, estimate how many frames are needed to show a two hour long movie. Question options: 1) 1400 2) 25 000 3) 50 000 4) 170 000 5) This cannot be determined without knowing how many reels were used.
4) 170 000
An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. Assume that the ground is level. At what horizontal distance from a target must the pilot release a bomb so as to hit the target? 1) 3.0 km 2) 2.4 km 3) 3.3 km 4) 2.7 km 5) 1.7 km
4) 2.7 km
An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point. What is the initial (launch) speed of the object? 1) 35 m/s 2) 25 m/s 3) 30 m/s 4) 21 m/s 5) 17 m/s
4) 21 m/s
A 0.20-km wide river has a uniform flow speed of 4.0 m/s toward the east. It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank. In what direction must the boat be pointed in order to accomplish this? 1) 23° west of north 2) 20° west of north 3) 24° west of north 4) 22° west of north 5) 17° west of north
4) 22° west of north
A rock is projected from the edge of the top of a building with an initial velocity of 12.2 m/s at an angle of 53° above the horizontal. The rock strikes the ground a horizontal distance of 25 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How tall is the building? 1) 25.3 m 2) 29.6 m 3) 27.4 m 4) 23.6 m 5) 18.9 m
4) 23.6 m
While her kid brother is on a wooden horse at the edge of a merry-go-round, Sheila rides her bicycle parallel to its edge. The wooden horses have a tangential speed of 6 m/s. Sheila rides at 4 m/s. The radius of the merry-go-round is 8 m. At what time intervals does Sheila encounter her brother, if she rides in the direction of rotation of the merry-go-round? 1) 5.03 s 2) 8.37 s 3) 12.6 s 4) 25.1 s 5) 50.2 s
4) 25.1 s
A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east. A boat with a speed of 8.0 m/s relative to the water leaves the south bank and heads in such a way that it crosses to a point directly north of its departure point. How long does it take the boat to cross the river? 1) 29 s 2) 23 s 3) 25 s 4) 27 s 5) 17 s
4) 27 s
A spring (k = 600 N/m) is placed in a vertical position with its lower end supported by a horizontal surface. The upper end is depressed 20 cm, and a 4.0-kg block is placed on the depressed spring. The system is then released from rest. How far above the point of release will the block rise? 1) 46 cm 2) 36 cm 3) 41 cm 4) 31 cm 5) 20 cm
4) 31 cm
A motorcycle daredevil wants to ride up a 50.0 m ramp set at a 30° incline to the ground. It will launch him in the air and he wants to come down so he just misses the last of a number of 1.00 m diameter barrels. If the speed at the instant when he leaves the ramp is 60.0 m/s, how many barrels can be used? 1) 79 2) 318 3) 332 4) 356 5) 402
4) 356
A certain pendulum consists of a 1.5-kg mass swinging at the end of a string (length = 2.0 m). At the lowest point in the swing the tension in the string is equal to 20 N. To what maximum height above this lowest point will the mass rise during its oscillation? 1) 77 cm 2) 50 cm 3) 63 cm 4) 36 cm 5) 95 cm
4) 36 cm
A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s2, what is the magnitude of the total acceleration of the particle? 1) 7.5 m/s2 2) 6.0 m/s2 3) 5.4 m/s2 4) 6.7 m/s2 5) 4.5 m/s2
4) 6.7 m/s2
A river has a steady speed of 0.30 m/s. A student swims downstream a distance of 1.2 km and returns to the starting point. If the student swims with respect to the water at a constant speed and the downstream portion of the swim requires 20 minutes, how much time is required for the entire swim? 1) 50 minutes 2) 80 minutes 3) 90 minutes 4) 70 minutes 5) 60 minutes
4) 70 minutes
A car travels north at 30 m/s for one half hour. It then travels south at 40 m/s for 15 minutes. The total distance the car has traveled and its displacement are: 1) 18 km; 18 km S. 2) 36 km; 36 km S. 3) 36 km; 36 km N. 4) 90 km; 18 km N. 5) 90 km; 36 km N.
4) 90 km; 18 km N.
An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height. 1) 64 m 2) 48 m 3) 32 m 4) 96 m 5) 75 m
4) 96 m
With the x-axis horizontal and the y-axis vertically upward, the change in the horizontal component of velocity, Dvx, and the change in the vertical component of velocity, Dvy, of a projectile are related to the time since leaving the barrel, Dt, as 1) Dvx = 0; Dvy = 0. 2) Dvx = gDt; Dvy = 0. 3) Dvx = 0; Dvy = gDt. 4) Dvx = 0; Dvy = -gDt. 5) Dvx = gDt; Dvy = -gDt.
4) Dvx = 0; Dvy = -gDt.
John and Linda are arguing about the definition of density, John says the density of an object is proportional to its mass. Linda says the object's mass is proportional to its density and to its volume. Which one, if either, is correct? Question options: 1) They are both wrong. 2) John is correct, but Linda is wrong. 3) John is wrong, but Linda is correct. 4) They are both correct. 5) They are free to redefine density as they wish.
4) They are both correct.
The site from which an airplane takes off is the origin. The x-axis points east; the y-axis points straight up. The position and velocity vectors of the plane at a later time are given by and . The plane is most likely 1) just touching down. 2) in level flight in the air. 3) ascending. 4) descending. 5) taking off.
4) descending.
The answer to a question is [MLT-1]. The question is "What are the dimensions of Question options: 1) mr?" 2) mvr?" 3) ma?" 4) mat?" 5) mvrr
4) mat?"
In 2.0 s, a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle? 1) +15 m/s2 2) +20 m/s2 3) −20 m/s2 4) −10 m/s2 5) −15 m/s2
4) −10 m/s2
A car travels counterclockwise around a flat circle of radius 0.25 km at a constant speed of 20 m/s. When the car is at point A as shown in the figure, what is the car's acceleration? 1) 1.6 m/s2, east 2) Zero 3) 1.6 m/s2, east 4) 1.6 m/s2, north 5) 1.6 m/s2, west
5) 1.6 m/s2, west
In 20 minutes, Kara ran 2.40 km on a treadmill facing due east. Relative to the treadmill, what were her displacement and average velocity during this time interval? 1) 0; 0 2) 0; 2.00 m/s 3) 2.40 km, east; 0 4) 2.40 km, east; 2.00 m/s, east 5) 2.40 km, west; 2.00 m/s, west
5) 2.40 km, west; 2.00 m/s, west
A spring with spring constant k = 800 N/m is extended 12 cm from its equilibrium position. A spring with 6.0 cm extension from equilibrium will have the same potential energy as the first spring if its spring constant is 1) 200 N/m. 2) 400 N/m. 3) 800 N/m. 4) 1600 N/m. 5) 3200 N/m.
5) 3200 N/m.
The standard exam page is 8.5 inches by 11.0 inches. Its area in cm2 is Question options: 1) 15. 2) 37. 3) 94. 4) 237. 5) 603.
5) 603.
While the gondola is rising at a speed of 5.0 m/s, a passenger in a balloon-supported gondola throws a small ball up at a speed of 2.0 m/s relative to his body. A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is 1) 2.0 m/s, up. 2) 2.8 m/s, down. 3) 3.0 m/s, up. 4) 5.0 m/s, up. 5) 7.0 m/s, up.
5) 7.0 m/s, up.
At the end of a year, a motor cat company announces that sales of a pickup are down 43% for the year. If sales continue to decrease by 43% in each succeeding year, how long will it take for sales to decrease to zero? Question options: 1) 1 year 2) 2 years 3) 3 years 4) 4 years 5) More than five years
5) More than five years
The position of a particle moving along the y-axis has a position given by y= 0.20m + (8.0m/s)t - (10m/s2)t2. 1) Yes, from 0.60 s to 1.00 s. 2) Yes, from 0.795 s to 0.805 s. 3) Yes, at the time t = 0.80 s. 4) No, the velocity is never zero. 5) No, an instant is not the same as a time interval.
5) No, an instant is not the same as a time interval.
A particle moving along the x-axis has a position given by x = 54t − 2.0t3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct? 1) The particle remains at rest after t = 3.0 s. 2) The particle no longer accelerates after t = 3.0 s. 3) The particle can be found at positions x < 0 m only when t < 0 s. 4) All of the above are correct. 5) None of the above is correct.
5) None of the above is correct.
A problem may be solved more easily when alternative representations are used. The best strategy is to formulate representations in an order that assists in understanding the physical principles involved. Of the orders given below, the one that will work best most often is Question options: 1) pictorial representation, mathematical representation, tabular representation, mental representation. 2) pictorial representation, mental representation, mathematical representation, tabular representation. 3) mathematical representation, pictorial representation, tabular representation, mental representation. 4) mathematical representation, tabular representation, mental representation, pictorial representation. 5) mental representation, pictorial representation, tabular representation, mathematical representation.
5) mental representation, pictorial representation, tabular representation, mathematical representation.
