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 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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A simple pendulum has a period of $0.500s$. What is the length of the pendulum? (Assume $g=9.80m/s^2$)

What is the period of a simple pendulum of length $1.00m$ near Earth's surface (assume $g=9.81m/s^2$)?

For a simple pendulum swinging back and forth, at which point does the pendulum have the greatest $kinetic energy$?

In the context of pendulum motion, what is the period of a pendulum ($T$)?