All GAVS Physics Quizzes and Tests

A box of mass m has a horizontal force of T applied to it. If the box accelerates with an acceleration a, what is the value of the coefficient of friction between the mass and the surface?

(T-ma)/mg

A block of mass m is accelerated up a frictionless slope of angle θ by a tension T. T is applied parallel to the slope. What is the value of the acceleration?

(T/m)-gsinθ

A ball of mass 2M traveling at 4.0 m/s runs into a ball of mass M traveling in the opposite direction at 2.0 m/s. If the collision is perfectly inelastic, what is the velocity of the balls after the collision?

2.0 m/s

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the maximum velocity of the pendulum?

2.1 m/s

A little girl stands at the edge of a 15.0 m tall cliff looking out at the water. She tosses a pebble out over the water with an initial velocity of 10.0 m/s at 40.0o. What is the maximum height above the girl that the pebble reaches?

2.11 m

A point mass of 35 kg is spinning horizontally at 3.0 rad/s when clay is dropped on it, increasing its mass by 10. kg. What is the angular velocity of the object after its mass has increased?

2.3 rad/s

An average force of 3.0 N is applied to a 2.5 kg toy car that is rolling at 1.5 m/s to the right for 0.80 s. What is the magnitude of the impulse applied to the car?

2.4 kgm/s

A 45kg girl stands on a massless board that is pivoting around a rock. A 65 kg friend stands 4.0 m away. How far from the 45 kg girls must the rock be so that the system is in static equilibrium?

2.4 m

Mass A is 10. kg and mass B is 7.0 kg. They are seperated by 4.0 m. Where is the center of mass of the system relative to the 7.0 kg mass?

2.4 m

A uniform sphere of radius R and mass M rotates around its center with a angular velocity of ω. What is the angular momentum of the sphere?

2/5MR2ω

Determine the magnitude of Force P if these forces act on an object and the object travels at a constant velocity. Assume that if no angle is given, the vectors are pointed along an axis.

20 N

Which of the following values could be correct for the vector arrow above?

20 m @ -1200A vector has a value of 35.0 m/s @ 121o. What is the x-component of the velocity?

Which of the following values could be correct for the vector arrows above? The value for the left vector is given first.

20 m @ 450 ,and 10 m @ 0o

A point mass of 2.0kg is rotating at 5.0 rad/s about a point 3.0 m away. If the mass is pushed closer to the axis of rotation so that it is now 1.5 m away, what will be its angular velocity?

20. rad/s

A spring is hung vertically and allowed to come to equilibrium. A mass of 5.00 kg is hung from the spring and the spring stretches a distance of 2.00 cm. What is the spring constant of the spring?

2450 N/m

A box of mass M is pushed across a floor with a constant force F applied in the direction of motion. The initial velocity of the box is 0 and the box moves through a distance x. If the final velocity of the box is 2v, what is the net work done on the box?

2Mv2

A mass m is used to stretch a spring a distance x from equilibrium. The spring is measured to have a potential energy U0, and an elastic constant k. If the spring is replaced by one with a constant 2k, what will be the potential energy if it is stretched a distance x again.

2U0

A box with a mass of 5.0 kg is placed frictionless surface and attached a massless spring with a constant k=85 N/m. The spring is pulled 0.75 m and allowed to oscillate horizontally. What is the acceleration of the box when the displacement from equilibrium is 0.25 m?

4.2 m/s2

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the period of the pendulum?

7.8 s

A box with a mass of 10.0 kg is pushed up a frictionless slope that makes an angle of 30.0o to the horizontal. How much work was done on the box if the box is pushed 15.0 m along the ramp?

735 J

A constant force of 15 N is applied at 60.o below the horizontal and pushes on a box causing it to move forward 10. m. How much work was done by the force on the box?

75 J

A pendulum of mass m is tied to string of length L and pulled back an angle θ. It is allowed to fall a height h to its lowest point. Which equation best represents the tension on the string, if the velocity at the bottom of the swing is √2gh?

T=(2mgh/L)+mg

The ball in the following diagram is shot horizontally off a cliff of height h with an initial velocity of v0. How long is the ball in the air?

t=sqrt(2h/g)

Two boxes accelerate to the left. Box A on the left is pulled with a force T1 horizontally to the left. Box A is tied to Box B. The force between the two boxes is T2. What is the relationship between the magnitude of the forces T1 and T2?

T1>T2

A box of mass M is pushed across a frictionless floor with a constant force applied in the direction of motion. The initial velocity of the box is 0 and the box moves through a distance x. What is the final velocity of the box?

½Mv2

Two uniform objects have masses as indicated. The first block has a mass 3M, a width L and a height 3L. The second block has a mass of 2M, a width of L and a height of 2L. Determine the center of mass of the system using the lower left corner of the 3M block as the origin.

(090L)i+(1.3L)j

A disk with a moment of inertia of 6.0 kgm2 has a radius of 3.0 m. A force of 10. N is applied at a tangent to the arc along the right edge of the disk straight downward. A second downward force of 5.0 N is applied on the left side of the disk a distance of 1.5 m from the center of the disk. What is the angular acceleration of the disk?

-3.8 rad/s2

A rock is thrown straight upward off a cliff that is 40.0 m tall. It lands at the bottom of the cliff, directly below the thrower. What is the displacement of the rock if the maximum height it reaches is 20.0 m?

-40.0 m

A ball is thrown upward with an intial velocity of 10. m/s. If it is in the air for 5.0 seconds, what is its displacement?

-75 m

The displacement of a particle that experiences simple harmonic motion is given as x(t)=5cos(2t+0.5). Assuming that all values are in standard units, what is the velocity of the particle after it has been oscillating for 4 s?

-8 m/s

When dropped from a cliff, the initial acceleration of a ball must be

-9.80 m/s2

A block of mass M with an initial velocity of v0 strikes a second block with a mass of 2M traveling in the opposite direction with a velcoity of -v0/2. After the collison the 2M block comes to a stop. What is the velocity of the block of mass M?

0

A ball is rolled 34 meters west, What is the y component of the displacement?

0 m

A 10. kg mass oscillates with an amplitude of 15 cm. If the elastic constant has a value of 20. N/m, what is the spring potential energy of the system when the mass if 10.0 cm from equilibrium?

0.10 J

What is the angular velocity of the second hand of a clock?

0.10 rad/s

A meterstick with a mass of 0.250 kg is placed on a stand so that it pivots around the 0.30m point. A 0.400 kg mass is placed on the meterstick so that the system is in static equilibrium. How far from the pivot is the mass?

0.12 m

A 10. kg mass oscillates with an amplitude of 15 cm. If the elastic constant has a value of 20. N/m, what is the velocity of the particle when it has 0.11 J of potential energy?

0.15 m/s

A 1.5 kg mass is placed on one end of a meterstick and a 2.5 kg mass is placed on the other end. How far from the 1.50 kg mass must a pivot be placed so that the system is in static equilibrium?

0.62 m

A uniform solid disk with a moment of inertia of 2.0 kgm2 rotates around a point so that its angular momentum is 1.5 kgm2/s. If the mass of the ball were doubled, and the radius were cut in half what would be the new angular momentum?

0.75 kgm2/s

A mass of M is located a distance L from a second mass of 4M. Where is the center of mass in relation to the first mass?

0.80 L

A 10. kg ball on the end of a 5.0 m long string is swung in a vertical circle at 2.0 m/s. What is the centripetal acceleration of the ball at the top of it's pathway?

0.80 m/s2

A toy car wheel is spun up to 60. rad/s by pulling on a string attached to the wheel. The car is then set on the ground and aimed at a target 3.0 m away. The radius of the toy wheel is 2.0 cm and the wheel rolls without slipping. If the velocity of the car is constant, what is the linear velocity of the car as it rolls across the ground?

1.2 m/s

Mass A is 3.0 kg and mass B is 5.0 kg. They are seperated by 2.0 m. Where is the center of mass of the system relative to the 3.0 kg mass?

1.3 m

A little girl stands at the edge of a field. She tosses a pebble out over the field with an initial velocity of 10.0 m/s at 40.0o. How long does it take for the pebble to fall back to the ground?

1.31 s

A metal disk spins about its axis with an angular velocity ω0. It has a total kinetic energy K. What would be the angular velocity to have a kinetic energy value of 2K?

1.4ω0

A box with a mass of 10.0 kg is pushed up a frictionless slope that makes an angle of 30.0o to the horizontal. If the change in potential energy is 150. J, how much higher did the box get?

1.53 m

A uniform rod of length L and mass M rotates around its end with an angular velocity of ω. What is the angular momentum of the rod?

1/3MR2ω

The following forces act on an object that is NOT in motion. What is the magnitude of the unknown force? Assume that the 6.0 N arrow is pointing west, and the 8.0 N arrow is pointing south.

10. N

A ball is dropped with an initial velocity of 2.0 m/s from a height of 5.0 m onto the ground. What is its final velocity?

10. m/s

Two forces, one with magntiude of 20. N, and the other with a magnitude of 30. N are both applied to a 5.0 kg obect. What is the maximum acceleration the object could undergo when these forces are applied?

10. m/s2

A baseball is rolled along the ground. It accelerates at -2.00 m/s and covers a distance of 30. m in 5.0 s. What was the initial velocity of the ball?

11 m/s

What would be the final angular velocity of a bicycle tire spinning at 20. rad/s, if it experiences a constant angular acceleration of -1.5 rad/s2 for 6.0 s?

11 rad/s

How long would it take a sports car racing at 60. m/s to cover a 6400 m course?

110 s

A 100. kg horse is on a merry-go-round that has a radius of 20. m. What is the centripetal force needed to keep the horse on its circular pathway if the horse is moving at 5.0 m/s?

120 N

A woman runs 1250 m North then turns and runs 825 m West. What is the direction of the woman's displacement at the end of her run?

123.4

A 4 .0 m uniform rod with a mass of 10. kg pivots around its end. It is held in a horizontal position by a force applied at the opposite end from the pivot and directed straight upward. If the force is removed, what is the angular acceleration of the rod (Irod=1/12ML2)

15 rad/s2

A 20. kg block sits on a frictionless incline that makes an angle of 40.o to the horizontal. What is magnitude of the normal force acting on the block?

150 N

A train is moved forward 400. m then put into reverse and moved back 250. m. What the displacement of the train?

150. m forward

A 5.0 kg meterstick is hung horizontally the 40. cm mark. A 10. kg mass is placed at the 0 m mark. What mass must be placed at the 60. cm mark so that the system is in static equilibrium?

18 kg

There are two particles in an isolated system. One of particles has a mass 2.0 kg and is traveling at 7.0 m/s East. The second is traveling 4.0 m/s West and has a mass of 3.0 kg. What is the momentum of the system?

2 kgm/s

The position of an object experiencing simple harmonic motion is given by the equation x=0.5cos(0.3t). The particle elastic constant is k=20. N/m. What is the potential energy of the particle after it has been oscillating for 12 s?

2.0 J

What is the moment of inertia of a disk spinning at 10. rad/s if the energy stored in the disk is 100. J?

2.0 kgm2

A 5.0 kg pendulum bob is placed at the end of a 20. m long massless rope. The rope is pulled back 15o and released so that it oscillates back and forth. What is the maximum acceleration experience by the pendulum?

2.5m/s2

A force of 10. N is applied to a 0.30 m long wrentch at an angle of 60.o. What is the torque applied to the wrench?

2.6 Nm

A sports car engine generates 230,000 W as the 2500 kg car accelerating through 35 m/s. What is the acceleration of the car at this time?

2.6 m/s2

Two planets orbit around a star. Planet one orbits at a radius r with a period T0. If the second planet orbits at a radius 2r, what is it's period of orbit?

2.8T0

The semimajor axis of Earth's orbit is defined as an astronomical unit or AU. How many Earth years would it take for a planet 8 AU from the sun to make one complete orbit?

23 years

A man walks 25 m west and then turns to move 45 m south. What is the direction of the man's displacement?

241

A squirrel tries to run across a road that is 5.00 m wide. He first runs East for 4.00m, then turns back to run 3.00 West. Scared again, he runs back 2.00 m East. What is the displacement of the squirrel?

3.00 m East

A uniform disk with a radius of 5.0 m is placed vertically and three masses are hung from it. A 10. kg mass is placed on the edge right below the center of mass. A 20. kg mass is placed to the right of the center of mass, half way to the edge, A 30. kg mass is placed along the radius on the left side of the wheel so that the radius makes an angle of 30.o to the horizontal. How far from the center must this mass be placed to produce static equilibrium?

3.3 m

A 10. kg ball on the end of a string is swung in a vertical circle at 2.0 m/s. The tension on the string is measured to be 12.0 N. What is the radius of the pathway?

3.33 m

A car traveling at 20. m/s slows down to 10. m/s over 2.0 s. What is the displacement of the car?

30. m

A 5.0 kg meterstick is hung horizontally the 20. cm mark. A 10. kg mass is placed at the 75 cm mark. What mass must be placed at the 0. cm mark so that the system is in static equilibrium?

35 kg

The image above represents a rod of length L with two identical forces acting on it. F1 is applied at the end of the rod and F2 is applied in the middle of the rod. If the rod rotates around the right end, what is the net torque acting on the rod?

3FL/2

What must be the value of the torque arm L2 if the force F1 is 25N, the Length L1 is 5.0m, the Force F2 is 41N and the angle θ is 40.o?

4.0 m

A boy is riding his bike around a curve with a radius of 20. m. What is the fastest he can go if the maximum force of fricton between the bike and the surface is 40. N? The combined mass of the boy and his bike is 50. kg.

4.0 m/s

A runner with a velocity of 3.00 m/s accelerates at 2.00 m/s2 until she reaches a velocity of 5.00 m/s. What was her displacement during this time?

4.00 m

What is the force on a 10.0 kg mass if a spring with a constant k=85.0 N/m is attached to it and pulled 0.500m?

42 N

The motion of a particle is given as x(t)=t4-t2. What is the acceleration of this particle at a time t=2s?

46m/s2

A 4 .0 m uniform rod with a mass of 10. kg pivots around its end. It is held in a horizontal position by a force applied at the opposite end from the pivot and directed straight upward. What is the magnitude of this force?

49 N

A 5.0 kg pendulum bob is placed at the end of a 20. m long massless rope. The pendulum is allowed to hang vertically. What is the tension on the rope when it is stationary in this position?

49 N

A planet's orbit has a value of 2r at aphelion and a value of 0.5r at perihelion. If the velocity at aphelion is v0, what is the velocity at perhelion?

4v0

A planet's orbit has a value of 4r at aphelion and a value of r at perihelion. If the velocity at aphelion is v0, what is the velocity at perhelion?

4v0

A block of mass 3M with an initial velocity of 2v0 strikes a second block with a mass of 2M, this block is traveling at -v0. The collision is perfectly inelastic. What is the new velocity of the combined mass?

4v0/5

A spring is compressed a distance of 8.0 cm by a 2.0 kg ball rolling at 4.0 m/s. If the ball comes to a complete stop in the process, what is the spring constant of the spring?

5000. N/m

A man walks 25 m west and then turns to move 45 m south. What is the magnitude of the man's displacement?

51 m

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the kinetic energy of the pendulum at its lowest point?

6.7 J

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the maximum amount of energy stored in the pendulum?

6.7 J

A 10.0 kg object moving at 2.00 m/s has 210. J of work done on it. What is its final velocity?

6.78 m/s

A cannon launches a cannon ball with an initial velocity of 100.0 m/s at an angle of 50.0o. It lands on a castle wall that is 20.0 m tall as it is coming back down. What is the x component of the initial velocity?

64.3 m/s

A force of 10. N is applied to a 5.0 kg object. How far will the object move in 8 seconds if it starts from rest?

64m

An astronaut has a weight of 600. N on the Earth's surface. She gets in her spacecraft until she is a distance of two Earth radii above the surface of the Earth. What is her weight at this distance from the Earth?

66.7 N

A 5.00 box is dragged across the floor by a rope that makes an angle of 30.0o to the horizontal. A force of 65.0 N is applied to the rope causing the box to accelerate at 9.80 m/s2. What is the force of friction acting on the box?

7.29 N

A particle of mass 4.0 kg experiences a force as indicated in the graph below. If the particle starts from rest, what is its velocity after this 5.0 s time period?

7.5 m/s

A motor is tied to a rope that lifts a a mass 20.0 m upward in 5.00 s. The mass accelerates at 4.00 m/s2. If the power output of the motor is 300. W, what is the net force acting on the mass?

75.0 N

A uniform disk with a mass of 5.0 kg and a radius of 10. m rotates at 3.0 rad/s around its center. What is the angular momentum of the disk?

750 kgm2/s

A cannon launches a cannon ball with an initial velocity of 100.0 m/s at an angle of 50.0o. It lands on a castle wall that is 20.0 m tall as it is coming back down. What is the y component of the initial velocity?

76.6 m/s

A block of mass M with an initial velocity of v0 strikes a second block with a mass of 2M, this block is traveling at 3v0. The collision is perfectly inelastic. What is the new velocity of the combined mass?

7v0/3

An Olympic athlete travels around 200. m track 4.00 times, covering a distance of 800. m. What is the distance traveled by the athlete?

800. m

A 10. kg block is placed on an incline that makes an angle of 30.o to the horizontal. What is the normal force acting on the block?

85 N

A car traveling at 15.0 m/s slows at 2.00 m/s2 for 3.00s. What is the final velocity?

9.00 m/s

A 1750 kg boat traveling at 10. m/s accelerates to 25 m/s in a distance of 50. m. What is the net force acting on the boat?

9200 N

A force increases from a value of 0 to a value of F at a constant rate while an object travels a distance of x. How much work is done?

A force increases from a value of 0 to a value of F at a constant rate while an object travels a distance of x. How much work is done?

In the diagram above two masses are attached by a rope to a pulley so that 3M hangs on the left side and 2M hangs on the right side. What must be the value of M if the 3M object accelerates downward at 1.96 m/s2?

Any value for M will cause the acceleration.

Which location is nearest to the center of mass of the system with mass M and 2M?

B

Which of the following statements is true for the center of mass of a donut? Assume that the donut has a uniform mass distribution, and that the shape is that of a ring. I. The center of mass is located outside the donut. II. It would be possible to balance a donut in at least one axis by finding the center of mass in that axis. III. Eating a bite out a donut would change its center of mass.

Correct answer: I, II, and III

A ball travels through projectile motion following the path drawn below. Which arrow best represents the velocity of the projectile at point B. Assume that the object is moving from left to right.

E

A rocket is capable of a constant acceleration of 5.00 m/s2. This means

Every second the object will go 5 m/s faster than it did before.

A thin ring with a mass M and radius R has a force F applied to it along the edge of the ring. The force is applied at a tangent to the edge of the ring. What is the angular acceleration of the ring?

F/MR

Which of the following statement(s) about Kepler's Laws of Planetary Motion is/are true? I. The laws can accurately be used to predict the motion of planets around the Sun. II. The laws are valid only for the motion of Planets around the Sun, not for the motion of bodies around Planets. III. The laws can also be applied to asteroids and comets that orbit around the Sun.

I and III

Which of the following statements MUST be true for a block that has been placed on an incline? There is some positive value for the coefficient of both static and kinetic friction between the block and the slope. I. As the angle of the incline becomes steeper the acceleration of the block increases. II. If the block is sliding down the slope, it's acceleration is proportional to its mass. III. If the object is moving down a given slope, the value of the friction force acting on the block is independent of the net parallel forces acting on the block.

III only

Which of the following statements about kinetic friction is true? I. Kinetic friction is proportional to the weight of the object. II. Kinetic friction is independent of the other forces acting on the object. III. Kinetic friction can NOT cause an acceleration in the direction of motion.

III only

A rock undergoes projectile motion along the pathway below. At what point is the acceleration of the object only -9.80 m/s2?

It is constant at all point along the path

A rock undergoes projectile motion along the pathway below. Which statement best describe the acceleration of the rock.

It is the same at all three points

The image above represents a uniform rod that pivots around the left end at the location of the black circle. It is in both Rotational and Translational Equilibirum. Which of the following must be true about the force applied by the pivot point?

It would have a value of W-F and point up.

A mass M is hung from the end of a massless rod that pivots around its center. The rod has a length L0. A second mass of 2M is hung on the other side of the pivot. How far from the pivot must this mass be placed so that the system is in static equilibrium?

L0/4

A uniform thin ring of radius R and mass M rotates around its center with a linear velocity of v. What is the angular momentum of the thin ring?

MRv

A point mass M traveling at a velocity v is a distance R from the origin. It is traveling perpendicular to the distance vector R. What is the angular momentum of the object?

MvR

A box is lifted straight up and then moved at a constant velocity across a room. Which of the following statements is NOT true?

No work is done by any force on the box.

Choose the vector that best represents the sum of the following two vectors.

Northeast

A motor capable of a power output P acclerates a mass M with a current velocity v0. What is the acceleration of the mass?

P/Mv0

Which of the following statements is true of pendulums.

Pendulums move with periodic motion.

A vector has a length R and an angle θ measured clockwise from the negative x axis. The x component of the vector would be given as

Rcos(180-θ)

The following diagram shows three forces acting on an object that is moving at a constant velocity. The angle for the force R is given by the symbol Φ.

RsinΦ+Tsinθ=W

A ball travels through projectile motion following the path drawn below. Which arrow best represents the velocity of the projectile at point C. Assume that the object is moving from left to right.

SouthEast

Which answer best indicates the resultant for A-B?

Southwest

A box of mass m has a horizontal force of T applied to it. If the box accelerates with an acceleration a, what is the value of the force of friction f acting on the box?

T-ma

A box is at rest on a table. A force is applied on the box, starting with a value of zero and steadily increasing. Assume that there is friction between the box and the table. Which of the following describes the motion of the box.

The box will stay at rest and then suddenly accelerate forward.

The graph below is a velocity time graph of an object.

The object is traveling at a constant positive velocity

The following is a displacement-time graph for an object. Which statement is true about the object.

The object is traveling at a constant positive velocity.

Kepler's Second Law can be used to show the relationship between the speed of a planet as its orbits around the Sun. What is that relationship?

The speed of a planet is greatest when it is the nearest to the Sun in its elliptical orbit.

A rock of mass m is tied to a string and spun in a horizontal circle. The tension on the string is T, and the angle it makes to the vertical is θ. Which of the following best represents the centripetal force on the rock?

Tsinθ

The following diagram shows three forces acting on an object that is NOT in motion.

Tsinθ=W

A force F is used to stretch a spring a distance x from equilibrium. The spring is measured to have a potential energy U0. If the spring is stretched a distance x/2, how much potential energy will it have?

U0/4

Block 1 of mass M is placed on a spring with a constant k and pulled back a distance 3x from equilibrium. The block is then replaced with block 2 of mass 2M and pulled a distance x from equilibrium. What is the relationship between the spring potential energy of block 1 and block 2 in these positions?

U1=9U2

A spring with a constant k is pulled back a distance x from equilibrium and is allowed to oscillate back and forth with no energy loss. What is the maximum and minimum value of the spring potential energy stored in the spring as it oscillates?

Umax=½kx2 Umin=0

A 10.0 kg box is at rest on a horizontal floor. The coefficient of static friction between the box and the surface is 0.350. What is the minimum force that will cause the box to accelerate?

a force greater than 34.3 N

A box of mass m has a force F at an angle θ applied to it as indicated in the diagram. Which equation below best describes the acceleration of the box? Assume that the box only accelerates horizontally.

a=Fcosθ/m

In the following diagram, a force F is applied at an angle θ to an object with a mass m. The surface is frictionless. Which equation below would best indicate the acceleration of the object?

a=Fcosθ/m

Which of the following is a vector quantity?

acceleration

A bullet is accelerated for a time t from rest when with an acceleration a. What is the final velocity of the bullet?

at

A ball of mass M with an initial velocity v0=0 m/s is shot upward by the release of a spring of constant k that is compressed a distance x. What is the maximum height above its starting point that it will reach before starting to fall back down?

kx2/2Mg

An object of mass m is placed on an incline that makes an angle θ with the horizontal. Which equation best shows the value of the force of friction needed to keep the object from accelerating down the slope.

mgsinθ

A bullet is accelerated so that it reaches a final velocity of v from rest when an acceleration a is applied. How long does this acceleration last?

v/a

A 4.0 kg ball traveling east at 2.0 m/s runs into an identical ball traveling west at 5.0 m/s. The collision is elastic and the first ball rebounds at -2.5 m/s. What is the velocity of the other ball?

-0.50 m/s

A ball of mass M traveling at 3.0 m/s runs into a ball of mass 3M traveling in the opposite direction at 1.0 m/s. If the collisions is elastic and the M ball continues forward at 1.5 m/s, what is the velocity of the ball of mass 3M?

-0.50 m/s

A 2.00 kg ball is next to a 5.00 kg ball. There is a small massless spring attached between them that is compressed then released. The 2.00 kg has a velocity of 3.00 m/s when the spring is released. What is the velocity of the 5.00 kg ball?

-1.20 m/s

Two masses one 3M and the other 2M are placed on a frictionless surface. Due to an internal force they move away from each other. The object with mass 3M has a velocity of v0, what is the velocity of the 2M object?

-1.5v0

A tire with a radius of 0.50 m is spinning at 20. rad/s and comes to a stop while rotating through 110 rad. What is the acceleration of the tire?

-1.82 rad/s2

A boy stands at the edge of a cliff that is 5.0 m tall and drops a ball from rest. What is the ball's velocity when it hits the ground?

-10. m/s

A vector has a value of 35.0 m/s @ 121o. What is the x-component of the velocity?

-18.0 m/s

A little girl stands at the edge of a 15.0 m tall cliff looking out at the water. She tosses a pebble out over the water with an initial velocity of 10.0 m/s at 40.0o. What is the y component of the final velocity?

-18.3 m/s

A ball with a mass of 5.0 kg and with an initial velocity of 20 .m/s falls a distance of 10. m and is now traveling at 22 m/s. The only loss of energy was due to air friction. How much work was done by the air friction?

-280

The displacement of a particle that experiences simple harmonic motion is given as x(t)=5cos(2t+0.5). Assuming that all values are in standard units, what is the position of the particle after it has been oscillating for 4 s?

-3 m

A baseball is rolled along the ground. It is originally traveling at 15 m/s and covers a distance of 30. m in 5.00 s. What is the acceleration of the ball?

-3.6 m/s2

Two vectors, both 10m long point 90.o to each other. The first points at 45o, and the second at 135o. What is the sum of the x components of these vectors?

0 m

When dropped from a cliff, the initial velocity of a ball must be

0 m/s

A mass of 50. kg is placed a distance D from a second mass of 25 kg. The gravitational force between them is measured as 0.00040 N. The 25 kg mass is now replaced by a 37.5 kg mass. What is the force between the two masses?

0.00060 N

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the frequency of the pendulum?

0.13 Hz

The displacement of a particle that experiences simple harmonic motion is given as x(t)=3cos(t+2). Assuming that all values are in standard units, what is the frequency of the particle's oscillation?

0.2 Hz

A 10. kg mass oscillates with an amplitude of 15 cm. If the elastic constant has a value of 20. N/m, what is the total energy of the spring and mass system?

0.22 J

A bat hits a 2.5 kg ball. The force on the ball is a function of time such that F(t)=3t. If the bat and the ball are in contact from t=0 to t=0.40 s, what is the change in momentum of the ball?

0.24 kgm/s

The displacement of a particle that experiences simple harmonic motion is given as x(t)=5cos(2t+0.5). Assuming that all values are in standard units, what is the frequency of the particle's oscillation?

0.3 Hz

A 10. kg mass oscillates with an amplitude of 15 cm. If the elastic constant has a value of 20. N/m, what is the velocity of the particle when it has reached the equilibrium position?

0.30 m/s

Three objects of equal mass are distributed at three corners of a square 1.0 m on a side. Where would the center of mass be located relative to the lower left mass?

0.33mi+0.33mj

A potter's wheel is spinning at 2.0 rad/s and increases its speed to 4.0 rad/s in 6.0 s. What is the average angular acceleration during that period of time?

0.33rad/s2

A 5.0 kg mass is placed on an incline and a string is tied to the box that can apply a maximum of 10.0N. If the rope breaks at 30.0o what is the coefficient of friction between the mass and the incline?

0.342

A mass of 3M is located a distance L from a second mass of 5M. Where is the center of mass in relation to the second mass?

0.38 L

Two planets orbit around a star. Planet one orbits at a radius r0 with a period T. If the second planet orbits with a period of T/4, what is its radius of orbit?

0.400r0

The displacement of a particle that experiences simple harmonic motion is given as x(t)=5cos(2t+0.5). Assuming that all values are in standard units, what is the phase constant of the particle?

0.5

A box with a mass of 5.0 kg is placed frictionless surface and attached a massless spring with a constant k=85 N/m. The spring is pulled 0.75 m and allowed to oscillate horizontally. What would be the displacement from equilibrium when the acceleration is 9.0 m/s2.

0.53 m

A 5.0 kg mass is placed on an incline, and the incline's angle is increased until the mass first begins to slide. If this occurs at 30.0o, what is the coefficient of friction between the mass and the incline?

0.577

A ball is thrown with an initial velocity of 20.0 m/s at an angle of 30.0 degrees. It lands on a basket 3.07 m above the ground. What is the y component of the initial velocity?

10.0 m/s

A 980. N box sits, not moving, on a horizontal surface. The coefficient of static friction between the box and the surface is 0.200. What is the magnitude and direction of the force of friction acting on the box, if a 100. N force is applied to the east?

100. N West

A 500. kg piano is lifted from rest by a force of 5400 N. It comes to a stop 8.0 m in the air. What is the average power output of the people lifting the piano?

11000 W

A uniform solid disk with a moment of inertia of 2.0 kgm2 rotates around a point so that its angular momentum is 1.5 kgm2/s. If the mass of the ball were doubled, and the radius were doubled what would be the new angular momentum?

12 kgm2/s

The instantaneous velocity of a particle is given by the equation v(t)=t3-9. What is the instantaneous acceleration of this particle at t=2.0 s?

12m/s2

The force applied to an object is given by the equation F(t)=4t2-5t. What is the change in momentum of the object from t=0 to t=3?

13 kgm/s

A bowling ball is thrown down a lane. The lane is 40.0 m long and it take the ball 3.00 s to get to the end. What is magnitude of the average velocity of the ball?

13.3 m/s

A 2010 kg car turn on a road so that the radius of curvature is 45.0 m. The maximum force of friction between the car and the road is 8230 N. What is the maximum safe velocity to drive around the curve?

13.6 m/s

A vector has a value of 18.0 m/s @ =-37.0o. What is the x-component of the velocity?

14.4 m/s

Two objects are a distance y above the Earth's surface. Using the Earth's surface as the zero point, what is the relationship between the potential energy of the objects if the first object's mass is M and the second object has a mass of 2M?

2Ug1=Ug2

A pendulum of mass m is tied to a string of length L and pulled back an angle θ. It is allowed to fall a height h to its lowest point. Which equation best describes the magnitude and direction of the acceleration on the pendulum bob, if the velocity at the bottom of the swing is given as √2gh?

2gh/L

A force F is applied at a distance L from a pivot point resulting in a torqe τ0. If the direction of the force remains constant, but the mangitude is increased to 2F, what is the torque produced by the new force?

2τ0

A 2.0 kg ball traveling east at 5.0 m/s runs into an identical ball also traveling east at 2.0 m/s. If the collision is perfectly inelastic, what is the velocity of each ball after the collision?

3.5 m/s

A mass 2M placed a horizontal distance L from a pivot point using a massless rod. A second mass is also placed a distance 2L/3 from the pivot point, but at an angle of 30o below the horizontal. What is the value of the second mass if the system is in rotational equilibrium?

3.5M

A 4.0 m uniform rod with a mass of 10. kg pivots around its end. A force of 98 N is applied at the end of the rod directed straight upward. What is the angular acceleration of the rod at the moment it is horizontal?

3.7 rad/s2

A 20. kg block sits on a incline that makes an angle of 40.o to the horizontal. What is the acceleration of the block if a frictional force of 50. N is applied to the block?

3.8 m/s2

The graph below shows the force as a function of time acting on a 2.0 kg mass. What is the total impulse on the object from t=0 to t=5.0 s?

30 Ns

3 different masses of M, 2M, and 3M are place on the same frictionless incline. Which of the following statements is true?

3M will have a larger normal than M

A uniform massless board with a length L0 and has a mass 2M is on the right of the pivot at L0/4 as shown above. A mass X is placed as indicated so that the system is in static equilibrium. What is the magnitude of the force applied by the pivot point?

3Mg

Two particles are in an isolated system. The first has a mass 2M and a velocity 0.5v0. The second has a mass 2M and a velocity v0 in the same direction as the first mass What is the total momentum of the system?

3Mv0

Two men are running in opposite directions. Bob is running at a constant 4 m/s east, and Fred is running at a constant 2 m/s west. Fred 20 m east of a flagpole, and Bob is 15 west of the same flagpole. Both start at the same time and are running toward each other. Which of the following equations properly describes the motion of Bob?

4=xb/tb

The force between two objects (each of mass M) is F when they are a distance D apart. What will be the value of the Force between them, if the distance decreased to 0.5D?

4F

The force between two objects of mass M is F when they are a distance D apart. What will be the value of the Force between them if each of the masses is doubled in value?

4F

A solid spherical object of radius R rotating around it's center has a moment of inertia I0. If another object has the same mass, shape, and axis of rotation, but a radius of 2R, what its moment of inertia?

4I0

Two particles each with a mass M are held together by a massless rigid rod that keeps the center of masses of the two particles 2 m apart. The system rotate around the z axis in the xy plane through a point in the middle of the one of the particles. What is the moment of inertia of the system?

4M

A box of mass M is pushed across a frictionless floor with a constant force. The initial velocity of the box is v0 and the final velocity is 3v0. The box moves through a distance x. How much work was done on the box?

4Mv02

The force between two 20. kg objects is measured to be 16 times the universal gravitational constant (16G). How far apart are the two masses?

5.0 m

After a period of 10. seconds, an object that started at rest has traveled 25 m. What is its final velocity?

5.0 m/s

A 3.0 kg pendulum bob is placed at the end of a 15 m long massless rope. The rope is pulled back 10.o and released so that it oscillates back and forth. What is the Net force on the bob at maximum displacement?

5.1 N

A ball falls off a cliff and accelerates until it hits the ground with a velocity of -50. m/s. How long does the fall take?

5.1 s

The x and y components of a girl's velocity are -2.0 m/s and 5.0 m/s respectively. What is the magnitude of the girl's velocity?

5.4 m/s

A 10. kg ball on the end of a string is swung in a vertical circle at 8.0 m/s. At the top of it's pathway the tension on the string is measured to be 20.0 N. What is the radius of the pathway?

5.43 m

A uniform massless board with a length L0 has mass M hung as indicated above. What must be the mass X so that the board is in Rotational Equilibrium?

5.5M

A uniform meterstick with a mass of 2.0 kg is hung so it pivots around string tied to the 70. cm mark. A 6.0 kg mass is hung at the 90. cm mark. Where must a 10. kg mass be hung to produce static equilibrium?

62 cm mark

A girl is out playing soccer and kicks a ball with an initial velocity of 15.0 m/s at an angle of 60.0o. It goes over the goal and lands down a slope that is 5.00 m below the field. What is the x component of the final velocity?

7.50 m/s

A girl is out playing soccer and kicks a ball with an initial velocity of 15.0 m/s at an angle of 60.0o. It goes over the goal and lands down a slope that is 5.00 m below the field. What is the x component of the initial velocity?

7.50 m/s

A girl is out playing soccer and kicks a ball with an initial velocity of 15.0 m/s at an angle of 60.0o. What is the velocity of the ball at its maximum height?

7.50 m/s

What is the magnitude and direction of a vector that has a x component of 7.00 m and a y component of -4.00 m?

8.06 m @ -29.7o

A mass of 20. kg is placed 5 m from a mass of 10. kg. What is the gravitational force between the two objects?

8.0G

A girl is out playing soccer and kicks a ball with an initial velocity of 15.0 m/s at an angle of 60.0o. What is the maximum height that it reaches?

8.61 m

Two forces each with a magnitude of 10. N are applied to a 2.0 kg object. The first is applied at an angle of 30o, and the second one is applied at an angle of -30o. What is the magnitude of the acceleration of the object?

8.7 m/s2

Which of the following is/are NOT true concerning the value of the work done by a force? I. Work is the component of force in the direction of motion multiplied by the displacement of the object. II. Work is the area under a graph of force in the direction of motion versus displacement. III. Work depends on the magnitude and direction of the force applied and the displacement of the object.

All of these choices are true

A ball is thrown horizontally off a cliff at the same time that an identical ball is dropped from the cliff. Which ball will hit the ground first. The second ball has no initial velocity.

Both balls hit the ground at the same time.

A constant force F is applied in the direction of motion to a mass M for a distance of x. The object starts with a velocity of zero. If the object travels the distance x in time t, what is the instantaneous power generated by the object applying the force at any given time?

F2t/M

A force F is applied at a distance L from a pivot point. The angle between L and F is θ. What is the torque produced by the force?

FLsinθ

A box of mass m is pushed across the floor with a force F at an angle θ, causing the box to move forward at a constant speed. Which equation best describes the force of friction on the box?

Fcosθ

A box of mass M is pushed across a floor with a constant force F applied in the direction of motion. The initial velocity of the box is 0 and the box moves through a distance x. If the final velocity of the box is 4v, how much work was done by the force of friction f?

Fx-8Mv2

Which of the following statements about gravity is true? I. There is a gravitational force between any two objects with mass. II. The force of gravity is directly proportional to the distance between the two objects. III. The Universal Gravitational Constant is a number that converts the ratio of masses and distance to a force value.

I and III

Which of the following statements is/are true for a perfectly elastic collision. I. Energy is conserved II. Velocity is conserved III. Momentum is conserved

I and III

Which of the following would increase power output. I decrease the time to complete the work II decrease the velocity of motion III increase the total work done

I and III

Three forces act on an object. If the object has an acceleration of 0 m/s2, which of the following must be true? I. The vector sum of the three forces must equal zero. II. The magnitudes of the three forces must be equal. III. All three forces must be parallel.

I only

A 20.0 kg mass is 40.0 m above the surface of the Earth. It moved upward an additional 10.0 m. Which of the following could be a correct value for its final gravitational potential energy? I 1960J II 9800J III 7840J

I, II, and III

A block is placed on a spring and set into motion horizontally on a frictionless surface so it experiences simple harmonic motion. Which of the following statements is true? I. The total amount of energy in the system remains constant II. The amount of total energy depends on the spring constant III. The amount of total energy is independent of the mass of the block

I, II, and III

Which of the following conditions must be met for an object to be in static equilibrium? I. The sum of the forces acting on the object equals zero. II. The sum of the torques acting on the object equals zero. III. Both the linear and angular velocities of the object equal zero.

I, II, and III

Which of the following is/are true concerning the value of the work done by a force? I. Work is the component of force in the direction of motion multiplied by the displacement of the object. II. Work is the area under a graph of force in the direction of motion versus displacement. III. Work depends on the magnitude and direction of the force applied and the displacement of the object.

I, II, and III

Which of the following statements is true? I. The drag force is dependent on the velocity of the object. II. The drag force is dependent on the shape of the object. III. The drag force is dependent on the fluid that the object travels through.

I, II, and III

Three forces act on an object and the objects accelerates at 45o. Which of the following statements must be true about the forces acting on the object? I. At least one of the forces must point between 0o and 90o. II. The sum of the x-components of the forces must be positive. III. At least one force must have a positive y-component.

II and III

Two objects are a distance y above the Earth's surface. One has a mass of M and the second has a mass of 2M. Which of the following statements about the objects is/are NOT true? I. The two 2M object has twice the potential energy of M object. II. The change in potential energy if the objects were moved higher a distance y would be the same for both objects. III. Using the position of the object M as the zero point the 2M object would have Mgy more potential energy than the M object

II and III

Which of the following affect the period of a pendulum? I. mass of the bob II. length of the string III. the force of gravity

II and III

A man pushes on a Box A, which in turn pushes on a Box B. The system accelerates in the direction that the man pushes. Which of the following statements MUST be true? I. Box A has more mass than Box B. II. The force that the man applies is greater in magnitude than the force that box B applies to Box A. III. Box A applied a greater force on Box B than Box B applies back on Box A.

II only

Which of the following statement(s) about Kepler's Laws of Planetary Motion is/are NOT true? I. The laws can accurately be used to predict the motion of planets around the Sun. II. The laws are valid only for the motion of Planets around the Sun, not for the motion of bodies around Planets. III. The laws can also be applied to asteroids and comets that orbit around the Sun.

II only

Which of the following would increase power output. I decrease the velocity of motion II increase the force applied to maintain a velocity III increase the time required to compete the work

II only

A block is placed on a spring and set into motion so it experiences simple harmonic motion. Which of the following will have a maximum value at when the mass is at the equilibrum positon? I. Force II. Acceleration III. Velocity

III only

A block of mass m is placed on an incline that makes an angle of q with the horizontal. A force T is applied that causes the box to move up the slope with a constant velocity v. Which equation below best shows the value of the force of friction acting on the block.

T-mgsinθ

An object with a mass 3M is hung from a rope placed over a massless frictionless pulley. The other end of the rope is attached to a mass 2M. The tension in the rope has a value of T, and the objects accelerate, as indicated in the diagram, with an acceleration a. Which equation best shows the value of the tension, T, in terms of the given values and any standard constants?

T=12Mg/5

A rock of mass m is tied to a string and spun in a horizontal circle. The tension on the string is T, and the angle it makes to the vertical is θ. Which of the following best represents the force supporting the weight of the rock?

Tcosθ

The image above shows a uniform rod that pivots around the left end as indicated by the black circle. Choose the correct statement for the value of a force applied to position B such that the rod is in Static Equilibrium.

The force would be less than the weight (W)

Which of the following statements about the gravitational field inside a uniform solid sphere is true?

The gravitational field is directly proportional to the radius r.

Which of the following is NOT correct for Newton's First Law of Motion?

The law relates the forces on an object to the acceleration of that object.

A gun is pointed at a monkey and the trigger is pulled. At the moment the trigger is pulled the monkey moves. Which of the following could NOT possibly prevent the monkey from being hit. (ignore the presence of air friction)

The monkey lets go of the tree and falls, allowing the bullet to go over his head.

An object with a mass 3M is hung from a rope placed over a massless frictionless pulley. The other end of the rope is attached to a mass 2M. The tension in the rope has a value of T, and the objects accelerate, as indicated in the diagram, with an acceleration a. Which equation best shows the value of the acceleration in terms of the given values and any standard constants?

a=g/5

A car travels down the road with a velocity v and travels a displacement x in a time t. If the velocity is increased to 2v, what would be the time required to travel the same displacement x?

t/2

When given the displacement of an object, the final velocity and the initial velocity, what equation would allow you to correctly determine time of the velocity change?

t=2x/(v+v0)

As the starting gun sounds, racer A notices that his shoe is untied, so he takes 3 seconds to tie his shoe. He then accelerates at a constant 4m/s2 to catch his opponent and beat him by 5 meters. The other racer, B, had accelerated from the starting gun at 2 m/s2. Which of the following equations correctly expresses the relationship between the time each racer had to run the race.

tB=tA+3

A greyhound dog is behind the starting gate waiting for his race. The chase bunny is released and given a 5 m head start. The bunny travels at a constant 4 m/s. 2 seconds later, the gate is opened so the dog can chase the bunny. The dog accelerates at 1m/s2 until he catches the bunny. What is the equation that relates the time that the bunny is moving to the time of the greyhound?

tg=tb-2

A satellite has a velocity v0 at a distance r from the center of the Earth. What is the velocity if the distance is increased to 2r?

v0/√2

The equation for the motion of a particle is given as x(t)=7t3+8t+5. What is the correct equation for its instantaneous velocity?

v=21t2+8

The equation for the motion of a particle is given as x(t)=2t3+6t. What is the correct equation for its instantaneous velocity?

v=6t2+6

A ball is thrown straight upward with an initial velocity v0. What is the maximum height that it will reach?

vo2/2g

A ball of mass M rolling horizontally with an initial velocity v0 runs into a spring of constant k and comes to a comes complete stop. How much is the spring compressed?

v√(M/k)

The graph below represents the motion of a dog in a yard. Between the time t=5 to t=8.0, what is the displacement and and average acceleration of the dog?

x=-17.5 m, a=-2.3 m/s2

Between the time t=6 to t=11.0, what is the displacement and and average acceleration of the dog?

x=-27.5 m, a=1.0 m/s2

As the starting gun sounds, racer A notices that his shoe is untied, so he takes 3 seconds to tie his shoe. He then accelerates at a constant 4m/s2 to catch his opponent and beat him by 5 meters. The other racer, B, had accelerated from the starting gun at 2 m/s2. Which of the following equations correctly expresses a kinematic equation for Racer A?

xA=2tA^2

As the starting gun sounds, racer A notices that his shoe is untied, so he takes 3 seconds to tie his shoe. He then accelerates at a constant 4m/s2 to catch his opponent and beat him by 5 meters. The other racer, B, had accelerated from the starting gun at 2 m/s2. Which of the following equations correctly expresses the relationship between the displacement of each racer?

xA=xB+5

A greyhound dog is behind the starting gate waiting for his race. The chase bunny is released and given a 5 m head start. The bunny travels at a constant 4 m/s. 2 seconds later, the gate is opened so the dog can chase the bunny. The dog accelerates at 1m/s2 until he catches the bunny. Which of the following equations correctly express the relationship between the displacement of the bunny and the displacement of the greyhound?

xg=xb+5

A spring with constant k is compressed a distance x and released horizontally so that it pushes on a ball of mass M. What is the velocity of the ball after the spring has completely released?

x√(k/M)

A block of mass m is placed on an incline that makes an angle of θ to the horizontal. The block is pulled at a constant velocity v up the slope by a force T applied parallel to the slope. The coefficient of kinetic friction between the block and the surface is μ. Which equation best describes the value of the kinetic friction on the block?

μmgcosθ

A ball of mass M with an initial velocity v0=0 m/s is dropped onto a spring of constant k and comes to a stop. If the ball has fallen a distance h, how much does the spring compress?

√(2Mgh/k)

A ball is dropped from height h with an initial velocity of zero. What will be its velocity when it strikes the ground?

√(2gh)