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Chapter 7 part A

• Potential
• Potential Energy

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Exercise 7.32

• 32. A single conservative force acting on a
  particle varies as N, where
  A and B are constants and x is in meters. (a)
  Calculate the potential energy function U(x)
  associated with this force, taking U 0 at x
  0. (b) Find the change in potential energy of
  the system and the change in kinetic energy of
  the particle as it moves from x 2.00 m to x
  3.00 m.

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Exercise 7.15

• 15. A force acting on a particle moving in the xy
  plane is given by N, where x
  and y are in meters. The particle moves from the
  origin to a final position having coordinates x
  5.00 m and y 5.00 m as shown in Figure.
  Calculate the work done by the force on the
  particle as it moves along (a) OAC, (b) OBC, and
  (c) OC. (d) Is conservative or nonconservative?
  Explain.

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Exercise 7.17

• 17. A block of mass 0.250 kg is placed on top of
  a light vertical spring of force constant 5 000
  N/m and pushed downward so that the spring is
  compressed by 0.100 m. After the block is
  released from rest it travels upward and then
  leaves the spring. To what maximum height above
  the point of release does it rise?

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Exercise 7.28

• 28. A 50.0-kg block and 100-kg block are
  connected by a string as shown in Figure P7.28.
  The pulley is frictionless and of negligible
  mass. The coefficient of kinetic friction between
  the 50-kg block and incline is 0.250. Determine
  the change in the kinetic energy of the 50-kg
  block as it moves from A to B, a distance of 20.0
  m.

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Exercise 7.5

• 5. A bead slides without friction around a
  loop-the-loop. The bead is released from a height
  h 3.50R. (a) What is its speed at point A?
  (b) How large is the normal force on it if its
  mass is 5.00 g?