1. | Use the work-energy theorem to determine the force required to stop a 988-kg car moving at a speed of 21.2 m/s if there is a distance of 45.7 m in which to stop it. |
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2. | A 65.8-kg skier accelerates down an icy hill from an original height of 521 meters. Use the work-energy theorem to determine the speed at the bottom of the hill if... (a) no energy is lost or gained due to friction, air resistance and other non-conservative forces. (b) 1.40*10^{5} J of energy are lost due to external forces. |
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3. | A car having a mass of 500 kg is initially traveling with a speed of 80 km/hr. It slows down at a constant rate, coming to a stop in a distance of 50 m. What is the change in the car's kinetic energy over the 50 m distance it travels while coming to a stop? |
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4. | A 21.3-kg child positions himself on an inner-tube which is suspended by a 7.28-m long rope attached to a strong tree limb. The child and tube is drawn back until it makes a 17.4-degree angle with the vertical. The child is released and allowed to swing to and from. Assuming negligible friction, determine the child's speed at his lowest point in the trajectory. |
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5. | Which of the following statements are true about mechanical energy? |
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6. | Which of the following statements are true about potential energy? |
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7. | A ball is projected into the air with 100 J of kinetic energy. The kinetic energy is transformed into gravitational potential energy on the path towards the peak of its trajectory. When the ball returns to its original height, its kinetic energy is ____ Joules. Do consider the effects of air resistance. Presume that the value of g is ~10 m/s/s. |
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8. | Approximate the work required lift a 2.5-kg object to a height of 6.0 meters. |
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9. | A baseball player catches a 163-gram baseball which is moving horizontally at a speed of 39.8 m/s. Determine the force which she must apply to the baseball if her mitt recoils a horizontal distance of 25.1 cm. |
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10. | A 50-kg platform diver hits the water below with a kinetic energy of 5000 Joules. The height (relative to the water) from which the diver dove was approximately ____ meters. Presume that the value of g is ~10 m/s/s. |
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11. | Pete Zaria applies a 11.9-Newton force to a 1.49-kg mug of root beer in order to accelerate it from rest over a distance of 1.42-m. Once released, how far will the mug slide along the counter top if the coefficient of friction is 0.728? |
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12. | A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s^{2}). Assume that effects of air resistance can be ignored. By how much has the ball's gravitational potential energy changed after it has fallen by 10 m? |
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13. | Claire deAisles has just completed her shopping at the grocery food store. She accidentally bumps her 42.5-kg cart, setting it in motion from rest down a hill inclined at 14.9 degrees. Upon descending a distance of 9.27 meters along the inclined plane, the cart hits a tree stump (which was placed in the parking lot for the sole purpose of this problem). A 0.295-kg can of tomato soup is immediately hurled from the moving cart and heads towards Will N. Tasue's brand new Lexus. Upon striking the Lexus, the tomato soup can creates a dent with a depth of 3.16 cm. Noah Formula, who is watching the entire incident and fixing to do some physics, attempts to calculate the average force which the Lexus applies to the soup can. Assume negligible air resistance and friction forces and help Noah out. |
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14. | A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s^{2}). Assume that effects of air resistance can be ignored. How fast is the ball going after it has fallen by 10 m? |
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15. | An object at rest may have __________. Presume that the value of g is ~10 m/s/s. |
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16. | A car having a mass of 500 kg is initially at rest. A constant 1,000 N net force acts on the car over a distance of 50 m, causing the car to speed up. After it travels 50 m, the car moves with constant velocity. What is the net force on the car while its moving with constant velocity? d.) What is the total work done on the car while its moving with constant velocity? |
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17. | A 50.0 kg crate is lifted to a height of 2.0 meters in the same time as a 25.0 kg crate is lifted to a height of 4 meters. The rate at which energy is used (i.e., power) in raising the 50.0 kg crate is ____ as the rate at which energy is used to lift the 25.0 kg crate. Presume that the value of g is ~10 m/s/s. |
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18. | Which of the following statements are true about power? |
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19. | A 1200 kg car and a 2400 kg car are lifted to the same height at a constant speed in a auto service station. Lifting the more massive car requires ____ work. Presume that the value of g is ~10 m/s/s. |
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20. | Which requires more work: lifting a 50.0 kg crate a vertical distance of 2.0 meters or lifting a 25.0 kg crate a vertical distance of 4.0 meters? Presume that the value of g is ~10 m/s/s. |
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21. | A car having a mass of 500 kg is initially traveling with a speed of 80 km/hr. It slows down at a constant rate, coming to a stop in a distance of 50 m. If the car slows to a stop on level ground, is the work done on it recoverable? |
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22. | A job is done slowly, and an identical job is done quickly. Both jobs require the same amount of ____, but different amounts of ____. Pick the two words which fill in the blanks in their respective order. Presume that the value of g is ~10 m/s/s. |
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23. | Using 1000. J of work, a small object is lifted from the ground floor to the third floor of a tall building in 20.0 seconds. What power was required in this task? Presume that the value of g is ~10 m/s/s. |
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24. | A 1000-kg car is moving at 40.0 km/hr when the driver slams on the brakes and skids to a stop (with locked brakes) over a distance of 20.0 meters. How far will the car skid with locked brakes if it is traveling at 120. km/hr? Presume that the value of g is ~10 m/s/s. |
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25. | A car having a mass of 500 kg is initially traveling with a speed of 80 km/hr. It slows down at a constant rate, coming to a stop in a distance of 50 m. Where is the force applied? |
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26. | Suzie Lovtaski has a mass of 49.7 kg. She is at rest on top of a hill with a height of 92.6 m and an incline angle of 19.2 degrees. She coasts down the hill to the bottom and eventually comes to a stop; she never uses her poles to apply a force. The coefficient of friction is 0.0873 along the hill and 0.527 along the horizontal surface at the bottom. What total distance will Suzie coast (include both incline and level surface)? |
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27. | A car having a mass of 500 kg is initially at rest. A constant 1,000 N net force acts on the car over a distance of 50 m, causing the car to speed up. After it travels 50 m, the car moves with constant velocity. What is the total work done on the car over the 50 m distance it travels while speeding up? |
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28. | A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s^{2}). Assume that effects of air resistance can be ignored. What is the force (if any) that does work on the ball? |
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29. | Mia Kneezhirt jumps from a second story dorm room (h = 7.91 m) to the ground below. Upon contact with the ground, she allows her 62.4-kg body to come to an abrupt stop as her center of gravity is displaced downwards a distance of 89.2 cm. Calculate the average upward force exerted by the ground upon Mia's fragile body. |
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30. | A platform diver weighs 500 N. She steps off a diving board that is elevated to a height of 10 meters above the water. The diver will possess ___ Joules of kinetic energy when she hits the water. Presume that the value of g is ~10 m/s/s. |
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31. | During a construction project, a 2500 N object is lifted high above the ground. It is released and falls 10.0 meters and drives a post 0.100 m into the ground. The average impact force on the object is ____ Newtons. Presume that the value of g is ~10 m/s/s. |
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32. | Which of the following statements are true about work? |
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33. | A car having a mass of 500 kg is initially at rest. A constant 1,000 N net force acts on the car over a distance of 50 m, causing the car to speed up. After it travels 50 m, the car moves with constant velocity. How fast is the car moving after 50 m? |
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34. | Calculate the kinetic energy (KE) of a 1500-kg automobile with a speed of 30 m/s. If it accelerates to this speed in 20 s, what average power has been developed? |
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35. | A 221-gram ball is thrown at an angle of 17.9 degrees and a speed of 36.7 m/s from the top of a 39.8-m high cliff. Determine the impact speed of the ball when it strikes the ground. Assume negligible air resistance. |
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36. | A 29.1-kg sledder is traveling along a level area with a speed of 8.96 m/s when she approaches a gentle incline which makes an angle of 12.5 degrees with the horizontal. If the coefficient of friction between the sled and the incline is 0.109, then what will be her speed at the bottom of the inclined plane, located 8.21 m above the top of the incline. |
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37. | A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s^{2}). Assume that effects of air resistance can be ignored. How much work has been done on the ball? |
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38. | A car having a mass of 500 kg is initially at rest. A constant 1,000 N net force acts on the car over a distance of 50 m, causing the car to speed up. After it travels 50 m, the car moves with constant velocity. What is the total work done on the car while its moving with constant velocity? |
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39. | Which of the following statements are true about conservative and non-conservative forces? |
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40. | Calculate the kinetic energy (KE) of a 1500-kg automobile with a speed of 30 m/s. |
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41. | Eddy, whose mass is 65.0-kg, climbs up the 1.60-meter high stairs in 1.20 s. Approximate Eddy's power rating. |
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42. | A child lifts a box up from the floor. The child then carries the box with constant speed to the other side of the room and puts the box down. How much work does he do on the box while walking across the floor at constant speed? Presume that the value of g is ~10 m/s/s. |
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43. | A 62.9-kg downhill skier is moving with a speed of 12.9 m/s as he starts his descent from a level plateau at 123-m height to the ground below. The slope has an angle of 14.1 degrees and a coefficient of friction of 0.121. The skier coasts the entire descent without using his poles; upon reaching the bottom he continues to coast to a stop; the coefficient of friction along the level surface is 0.623. How far will he coast along the level area at the bottom of the slope? |
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44. | Which of the following statements are true about kinetic energy? |
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45. | A student applies a force to a cart to pull it up an inclined plane at a constant speed during a physics lab. A force of 20.8 N is applied parallel to the incline to lift a 3.00-kg loaded cart to a height of 0.450 m along an incline which is 0.636-m long. Determine the work done upon the cart and the subsequent potential energy change of the cart. |
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46. | A 1 kg ball is dropped from the top of a cliff and falls with a constant acceleration due to gravity (9.8 m/s^{2}). Assume that effects of air resistance can be ignored. Is the work done on the ball recoverable? |
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47. | A 10-Newton object moves to the left at 1 m/s. Its kinetic energy is approximately ____ Joules. Presume that the value of g is ~10 m/s/s. |
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48. | A car having a mass of 500 kg is initially traveling with a speed of 80 km/hr. It slows down at a constant rate, coming to a stop in a distance of 50 m. What is the net force on the car while it's coming to a stop? |
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49. | An arrow is drawn back so that 50 Joules of potential energy is stored in the stretched bow and string. Whenreleased, the arrow will have a kinetic energy of ____ Joules. Presume that the value of g is ~10 m/s/s. |
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50. | Luke Autbeloe stands on the edge of a roof throws a ball downward. It strikes the ground with 100 J of kinetic energy. Luke now throws another identical ball upward with the same initial speed, and this too falls to the ground. Neglecting air resistance, the second ball hits the ground with a kinetic energy of ____ J. Presume that the value of g is ~10 m/s/s. |
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