---
title: "A box of mass \\(m\\) is initially at rest at the top of a ramp that is at an angle \\(\\theta\\) with the horizontal. The block is at a height \\(h\\) and length \\(L\\) from the bottom of the ramp. The coefficient of kinetic friction between the block and the ramp is \\(\\\\mu\\). What is the kinetic energy of the box at the bottom of the ramp?"
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url: "https://nerd-notes.com/ubq/69432/"
date_modified: "2025-10-04T15:32:05+00:00"
---

# A box of mass \(m\) is initially at rest at the top of a ramp that is at an angle \(\theta\) with the horizontal. The block is at a height \(h\) and length \(L\) from the bottom of the ramp. The coefficient of kinetic friction between the block and the ramp is \(\\mu\). What is the kinetic energy of the box at the bottom of the ramp?

A box of mass \(m\) is initially at rest at the top of a ramp that is at an angle \(\theta\) with the horizontal. The block is at a height \(h\) and length \(L\) from the bottom of the ramp. The coefficient of kinetic friction between the block and the ramp is \(\mu\). What is the kinetic energy of the box at the bottom of the ramp?

- **A.** \(mgh\)
- **B.** \(\mu mgL\cos\theta\)
- **C.** \(mgh – \mu mgL\cos\theta\)
- **D.** \(mgL – \mu mgh\cos\theta\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/69432/*