10. Conservation of Energy

Two masses are connected by a string as shown in Fig. 8–35. Mass m_A = 3.5 kg rests on a frictionless inclined plane, while m_B = 5.0 kg is initially held at a height of h = 0.75 m above the floor. Use conservation of energy to find the velocity of the masses just before m_B hits the floor. You should get the same answer as in part (b).

The 9.0-kg mass in Fig. 8–36 is held just barely in contact with a spring for which k = 450 N/m . When that mass is released, it falls, compressing the spring and pulling the 3.0-kg mass up. How far does the 9.0-kg mass fall before momentarily coming to rest? Ignore friction in the pulley.

When a roller coaster car moves down from the top of a hill, which of the following best describes the energy transformation that occurs in the system?

Which of the following statements about the energy of a pendulum is true?

In a system where a particle moves along a frictionless track and its potential energy as a function of position is shown in the graph below, at which point on the graph does the particle have its maximum kinetic energy?

At equilibrium in a pendulum, the potential energy is $0$ and the velocity is ________.