Work, Energy, & Momentum Problem Set

Solve:

  1. What is the kinetic energy of a 86.3 kg man running along at 7.68 m/s?

  2. What is the mass of a man running at 3.82 m/s if he has a kinetic energy of 331.2 J?

  3. What is the speed of a 74.4 kg woman running with a kinetic energy of 790.5 J?

  4. What is the kinetic energy of a 81.6 kg man running along at 7.99 m/s?

  5. What is the height where a 88.4 kg woman would have a gravitational potential energy of 4634 J?

  6. What is the mass of a man who has a gravitational potential energy of 7504 J at a height of h = 9.62 m above the ground?

  7. What is the change in gravitational potential energy for a 47.6 kg woman walking down a hill from a height of 73.33 m to 6.55 m?

  8. What is the gravitational potential energy of a 67.3 kg man at a height of h = 3.66 m above the ground?

  9. What is the mass of a diver if gravity does 2524 J of work on him/her when jumping into the water from a height of 3.85 m?

  10. You do 139.6 J of work to move a 16.3 kg chair 2.14 m across the floor at a constant velocity by pushing down on the back of the chair at some angle. If the coefficient of kinetic friction between the chair and the floor is 0.39, what is the angle (relative to the floor) at which you are pushing?

  11. How much work is done by gravity when a 137.6 kg diver jumps from a height of 6 m into the water?

  12. What height above the water does a 133.9 kg diver jumps need to jump from for gravity to do 4658 J of work on him/her?

  13. A 45.3 kg cart traveling at 6.09 m/s (this movement defines the positive direction) has a head on elastic collision with a 12.7 kg cart. If the final velocity of the first cart is 6.217, what was the initial velocity of the second cart?

  14. A 17.5 kg cart traveling at 4.78 m/s (this movement defines the positive direction) has a head on elastic collision with a 18.6 kg cart traveling at 4.6 m/s. What is the final velocity of the second cart?

  15. A 0.3 kg cart traveling at 6.2 m/s (this movement defines the positive direction) has a head on elastic collision with a 50 kg cart. If the final velocity of the first cart is -6.901, what was the initial velocity of the second cart?

  16. A 26.3 kg cart traveling at 8.91 m/s (this movement defines the positive direction) has a head on elastic collision with a 45.3 kg cart. If the final velocity of the first cart is 2.33, what was the initial velocity of the second cart?

  17. A 30.8 kg cart traveling at 4.87 m/s (this movement defines the positive direction) has a head on perfectly inelastic collision with a 13.9 kg cart. The joined cart travels with a velocity of 5.296 m/s. What was the velocity of the second cart prior to the collision?

  18. A 49.1 kg cart traveling at 6.4 m/s (this movement defines the positive direction) has a head on perfectly inelastic collision with a 9.2 kg cart traveling at 1.21 m/s. How much kinetic energy is lost in the collision?

  19. A 27.3 kg cart traveling at 3.13 m/s (this movement defines the positive direction) has a head on perfectly inelastic collision with a 41.8 kg cart traveling at 0.22 m/s. What is the velocity of the joined carts?

  20. A cart traveling at 9.81 m/s (this movement defines the positive direction) has a head on perfectly inelastic collision with a 16.8 kg cart traveling at 1.33 m/s. The final velocity of the two joined carts is 7.677 m/s. What is the mass of the first cart?

  21. A 47.9 kg cart traveling at 1.43 m/s (this movement defines the positive direction) has a head on perfectly inelastic collision with a 16.1 kg cart traveling at 2.37 m/s. What is the velocity of the joined carts?

Answers