---
title: "A \\(6 \\, \\text{kg}\\) cube rests against a compressed spring with a force constant of \\(1{,}800 \\, \\text{N/m}\\), initially compressed by \\(0.3 \\, \\text{m}\\). Upon release, the cube slides on a horizontal surface with a kinetic friction coefficient of \\(\\mu_k = 0.12\\) for \\(3 \\, \\text{m}\\), then ascends a \\(12^\\circ\\) slope, stopping after \\(4.5 \\, \\text{m}\\). Determine the coefficient of kinetic friction on the slope."
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url: "https://nerd-notes.com/ubq/23118/"
date_modified: "2025-10-02T13:10:11+00:00"
---

# A \(6 \, \text{kg}\) cube rests against a compressed spring with a force constant of \(1{,}800 \, \text{N/m}\), initially compressed by \(0.3 \, \text{m}\). Upon release, the cube slides on a horizontal surface with a kinetic friction coefficient of \(\mu_k = 0.12\) for \(3 \, \text{m}\), then ascends a \(12^\circ\) slope, stopping after \(4.5 \, \text{m}\). Determine the coefficient of kinetic friction on the slope.

A \(6 \, \text{kg}\) cube rests against a compressed spring with a force constant of \(1{,}800 \, \text{N/m}\), initially compressed by \(0.3 \, \text{m}\). Upon release, the cube slides on a horizontal surface with a kinetic friction coefficient of \(\mu_k = 0.12\) for \(3 \, \text{m}\), then ascends a \(12^\circ\) slope, stopping after \(4.5 \, \text{m}\). Determine the coefficient of kinetic friction on the slope.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/23118/*