phy 1 final

210 rad/s

2,000 rev/min is equivalent to what in rad/s?

3.16 m/s

A 2 kg mass starts from rest at point A and moves along the x-axis subject to the potential energy shown in the figure below. What is the speed of the mass at point C?

94m

A 2500 kg automobile moving at 15 m/s has the brakes apply a force of 3000 N. How far does the car travel before it stops?

1.9 m/s^2

A 16 kg bowling ball experiences a net force of 30 N. What will be its acceleration?

707 N

A 500 N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension, T1. Cable 2 applies a force upward and to the left at an angle of 45 degrees to the negative x-axis and has a tension, T2. What is the tension, T2?

1.4X10^6 N/m

A 5X10^5 kg subway train is brought to a stop from a speed of 0.5 m/s in 0.3 m by a large spring bumper at the end of its track. What is the force constant k of the spring (N/m)?

343 N

A 70 kg weight is hanging by a rope over a pulley as shown. What is the tension in the rope?

0J

A 7500 kg elevator is pulled straight up at a constant speed by a cable over a distance of 30 m. What is the total work done on the elevator?

1.2m

A ball is rolled horizontally off a table with an initial speed of 3 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.4s. How far does it travel from the table horizontally?

1.65 m

A ball with an initial velocity of 4.8 m/s rolls up a hill without slipping. Treating the ball as a solid sphere, calculate the vertical height (m) it reaches.

0.0065 m/s

A battleship that is 8X10^7 kg and is originally at rest fires a 1300 kg artillery shell horizontally with a velocity of 400 m/s. If the shell is fired straight out (towards the rear of the ship), there will be negligible friction opposing the ship's recoil. Calculate its recoil velocity in meters per second.

-2000 J

A block with a mass of 10 kg is sliding with a speed of 20 m/s. It hits a rough surface and comes to a stop over a distance of 0.2m. How much work did friction do?

0 km/hr

A car travels 100 km east and then travels 100 km west to return home (where it started). It took 6 hours. What is the average velocity of the car?

10 m/s

A car travels about 100 m in 10 s. Its speed is,

0 m/s^2

A car travels at a constant speed of 20m/s in a straight line for 2 hours. What is its acceleration?

500m

A car travels at a constant speed of 50m/s in a straight line for 10s. How far does it travel in that time?

15 m/s

A cheetah, accelerating from rest at a constant rate, experiences a displacement of 30m in 2s. What is the average velocity?

1 rad/s

A fan blade, initially at rest, rotates with a constant acceleration of 0.02 rad/s^2. What is its angular speed at the instant it foes through an angular displacement of 25 rad?

67 m/s

A helicopter is traveling at 59 m/s at a constant acceleration of 50 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground?

6.07 m/s

A kangaroo can jump over an object 1.88m high. Calculate its vertical speed (m/s) when it leaves the ground.

16.5 s

A light-rail commuter train accelerates at a rate of 1.35 m/s^2. How long (s) does it take to reach its top speed of 22.22 m/s, starting at rest?

32.9 m/s

A person stands on the edge of a building 50 m tall. He throws a ball straight down towards the ground at 10m/s. What is the speed of the ball as it hits the ground?

2.38 m/s^2

A pulley and string arrangement is used to connect two objects A and B as shown. Here, mA= 4.2 kg and mB= 6.9 kg. The string connecting the two objects is of negligible mass and the pulley is frictionless. The objects start from rest and move with constant acceleration. What is the magnitude of the acceleration of the system?

7.76e4 N

A roller coaster, loaded with passengers, as a mass of 4000 kg; the radius of curvature of the track at the bottom point of the dip is 15 m. If the vehicle has a speed of 12 m/s at this point, what force is exerted on the vehicle by the track?

5592 m/s

A satellite is in a circular orbit about the earth at a distance of one earth radii above the surface. What is the speed of the satellite? (G=6.67e-11)

7.76 s

A small rubber ball is launched by a compressed-air cannon from ground level with an initial speed of 38 m/s directly upward. Choose upward as the positive direction in your analysis. How long does it take to reach the ground?

597

A spool of thread as an average radius of 2 cm. If the spool contains 75 m of thread, how many turns of thread are on the spool?

57.5 m

A stone is thrown at an angle of 30 degrees above the horizontal from the top edge of a cliff with an initial speed of 46 m/s. A stop watch measures the stone's trajectory time from top of cliff to bottom to be 6.5 s. What is the height of the cliff?

175 N

An 86 kg sprinter starts a race with an acceleration of 2.04 m/s^2. What is the net external force (N) on him?

15.8 m/s

An angry rhino with a mass of 3600 kg charges directly toward you with a speed of 4.5 m/s. Before you start running, you throw a 0.18 kg rubber ball directly at the rhino with a speed of 6.83 m/s. Determine the speed of the ball (m/s) after it bounces back elastically towards you.

89 years

An asteroid is in orbit at 20 times the earth's distance from the sun. What is its period of revolution?

27,551 N

An elevator weighing 25000 N is supported by a steel cable. What is the tension in the cable when the elevator is being accelerated upward at a rate of 1 m/s^2?

10.8s

An express train passes through a station. It enters with an initial velocity of 21 m/s and decelerates at a rate of 0.156 m/s^2 as it goes through. The station is 217 m long. When does the nose of the train leave the station?

1.92 m/s

As shown in the figure bellow, two masses m1= 5.6 kg and m2 has a mass of 80% of m1, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m1 and m2 start from rest, after they have each traveled a distance h= 1.7 m, use energy content to determine the following. The speed of the masses.

7.78 m/s

As shown in the figure below, a skateboarder starts at point A on the ramp and rises to point B, a maximum height of h= 3.09 m above the top of the ramp. If the amount of work done against friction is insignificant, determine his initial speed (m/s) at point A.

7 m/s

As shown in the figure below, cars 1 and 2 are sliding across a horizontal frictionless surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car 1 overtakes car 2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m1= 4 kg, m2= 6 kg. Car 1 is moving at 10 m/s and car 2 is moving at 5 m/s. What is the velocity of both cars after they collide?

10^22

Calculate the approximate number of atoms in a raindrop, assuming the average mass of a raindrop atom is 20X10^-27 kg. The mass of a raindrop is 2X10^-4 kg.

104 rad/s^2

Consider the 13 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of r1= 0.28 m and an outer radius of r2= 0.32 m. The motorcycle is on its center stand so that the wheel can spin freely. If the drive chain exerts a force of 2450 N at a radius of 5 cm, what is the angular acceleration (rad/s^2) of the wheel?

-4m

For part d, bellow, what is the total displacement?

236 m/s

How fast must a 2.5 g ping-pong ball move in order to have the same kinetic energy as a 145 g baseball moving at 31 m/s?

0.4J

How much work does a supermarket attendant do when he pushes a can of soup 0.1 m with a force of 4 N?

1020 J

How much work is done by the boy pulling his sister 21 m in a wagon as shown in the figure below? d= 21 m F= 56 N

157 km

If an airplane travels 53 degrees north of east for 261 km, how far east does the airplane travel? Let north be the y-axis and east be the x-axis.

be over the equator

In order for a satellite to be geosynchronous, its orbit must:

14.138 rad/s^2

Suppose you exert a force of 167 N tangential to a 0.315 m radius 75 kg grindstone (solid disk). What is the angular acceleration (rad/s^2) assuming negligible opposing friction?

4.62 m/s

The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.27 kg and its length is 2.9 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. Determine the seed of its center of gravity at its lowest position in m/s.

5 km/s

The escape speed from the surface of earth if 11.2 km/s. Estimate the escape speed for a spacecraft from the surface Mars. Mars has a mass of 0.64e24 kg and a radius of 3376 km.

747 N

Tom enlists the help of his friend to move his car. They apply forces to the car as shown in the diagram. F1= 425 N F2= 362 N and friction is negligible. In the diagram bellow, the mass of the car = 3500 kg, angle 1 = -25 degrees and angle 2 = 12 degrees. Find the magnitude of the force exerted on the car.

4 m/s

Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figures below. The orange puck is initially moving to the right at voi= 5.15 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of 39 degrees with the horizontal axis While the blue puck makes an angle of 51 degrees with this axis in the second figure. What is the speed of the orange puck after collision?

5.4

Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length and points along a direction 80 degrees from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?

844 N

What centripetal force does an 100 kg passenger experience when seated 15 m from the center of a Ferris Wheel whose angular speed is 0.75 rad/s?

15.2 J

What is the kinetic energy of a 0.135 kg baseball thrown at 15 m/s?

1000 J

What is the kinetic energy of a 20 kg dog running at 10 m/s?

50 kg m/s

What is the momentum of a 5 kg bowling ball sliding down a lane at 10 m/s?

361 m

When a drag strip vehicle reaches a velocity of 85 m/s, it begins a negative acceleration by releasing a drag chute and applying its brakes. While reducing its velocity back to zero, its acceleration along a straight line path is a constant -10 m/s^2. What displacement foes it undergoes during this deceleration period?

196 J

You throw a 10 kg mass straight up. After it travels 2 m up, how much potential energy did it gain due to gravity?

27.6 N

a 2 kg object is swung in a circular path an in a vertical plane on a 1 m length string. If the angular speed at the bottom is 2 rad/s, what is the tension in the string when the object is at the bottom of the circle?

2.06 m/s

a 3500 kg cannon is mounted so that it can recoil only in the horizontal direction. Calculate its recoil velocity in m/s when it fires a 16 kg shell at 480 m/s at an angle of 20 degrees above the horizontal.

9.1s

a coin is dropped from a hot-air balloon that is 290 m above the ground and rising at 13 m/s upward. For the coin find the time before it hits the ground.

0.057 rad/s

cylindrical space colony 6 km in diameter and 50 km long has been proposed as living quarters for future space explorers. Such a habitat would have cities, land and lakes on the inside surface and air and clouds in the center. All this could be held in place by the rotation of the cylinder about the long axis. How fast would such a cylinder have to rotate to produce a 1-g gravitational field at the walls of the cylinder?