---
title: "A spring launches a \\(4 \\, \\text{kg}\\) block across a frictionless horizontal surface. The block then ascends a \\(30^\\circ\\) incline with a kinetic friction coefficient of \\(\\mu_k = 0.25\\), stopping after \\(55 \\, \\text{m}\\) on the incline. If the spring constant is \\(800 \\, \\text{N/m}\\), find the initial compression of the spring. Disregard friction while in contact with the spring."
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url: "https://nerd-notes.com/ubq/23122/"
date_modified: "2025-10-03T02:00:57+00:00"
---

# A spring launches a \(4 \, \text{kg}\) block across a frictionless horizontal surface. The block then ascends a \(30^\circ\) incline with a kinetic friction coefficient of \(\mu_k = 0.25\), stopping after \(55 \, \text{m}\) on the incline. If the spring constant is \(800 \, \text{N/m}\), find the initial compression of the spring. Disregard friction while in contact with the spring.

A spring launches a \(4 \, \text{kg}\) block across a frictionless horizontal surface. The block then ascends a \(30^\circ\) incline with a kinetic friction coefficient of \(\mu_k = 0.25\), stopping after \(55 \, \text{m}\) on the incline. If the spring constant is \(800 \, \text{N/m}\), find the initial compression of the spring. Disregard friction while in contact with the spring.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/23122/*