---
title: "A skier with a mass of \\(58 \\, \\text{kg}\\) glides up a snowy incline that forms an angle of \\(28^\\circ\\) with the horizontal. The skier initially moves at a speed of \\(7.2 \\, \\text{m/s}\\). After traveling a distance of \\(2.3 \\, \\text{m}\\) up the slope, the skier’s speed reduces to \\(3.8 \\, \\text{m/s}\\)."
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url: "https://nerd-notes.com/ubq/23106/"
date_modified: "2025-10-04T15:32:24+00:00"
---

# A skier with a mass of \(58 \, \text{kg}\) glides up a snowy incline that forms an angle of \(28^\circ\) with the horizontal. The skier initially moves at a speed of \(7.2 \, \text{m/s}\). After traveling a distance of \(2.3 \, \text{m}\) up the slope, the skier’s speed reduces to \(3.8 \, \text{m/s}\).

A skier with a mass of \(58 \, \text{kg}\) glides up a snowy incline that forms an angle of \(28^\circ\) with the horizontal. The skier initially moves at a speed of \(7.2 \, \text{m/s}\). After traveling a distance of \(2.3 \, \text{m}\) up the slope, the skier’s speed reduces to \(3.8 \, \text{m/s}\).

**Part a)** Calculate the work performed by the kinetic frictional force acting on the skis. Use strictly conservation of energy for this part, in a single equation and plug in numbers only at the end. *(3 points)*

**Part b)** Determine the magnitude of the kinetic frictional force. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/23106/*