10. Conservation of Energy

A 56-kg student runs at 6.0 m/s, grabs a hanging 10.0‑m-long rope, and swings out over a lake (Fig. 8–49). He releases the rope when his velocity is zero. What is the angle θ when he releases the rope?

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A simple pendulum has a period of $2.0$ seconds. What is the length of the pendulum? (Assume $g=9.8m/s^2$)

If the mass of a simple pendulum's bob is doubled, what happens to the period of the pendulum?

If a simple pendulum is taken into an orbiting space station where the apparent gravity is nearly $0$, what will happen to the motion of the pendulum bob?

For a simple pendulum swinging back and forth, at which point during its motion is the $kinetic energy$ the greatest?

Which of the following statements is true for a simple pendulum bob at its maximum displacement from equilibrium?

A simple pendulum on planet X, where the acceleration due to gravity $g$ is unknown, has a length of $L$ and oscillates with a period of $2s$. Which equation correctly relates $g$, $L$, and the period?

A 56-kg student runs at 6.0 m/s, grabs a hanging 10.0‑m-long rope, and swings out over a lake (Fig. 8–49). He releases the rope when his velocity is zero. What is the maximum tension in the rope during the swing?

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