A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. It is 2 km long, and he starts with an initial speed of 5 m/s down the hill. If the coefficient of kinetic friction between his skis and the hill is 0.7: Does he make it to the bottom? If so, how long does it take?
A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. It is 2 km long, and he starts with an initial speed of 5 m/s down the hill. If the coefficient of kinetic friction between his skis and the hill is 0.7: Does he make it to the bottom? If so, how long does it take?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Physics Problem: Skier on an Inclined Plane**
A skier starts going down a rocky hill that is inclined 30 degrees from the horizontal. The hill is 2 km long, and the skier starts with an initial speed of 5 m/s down the hill. The coefficient of kinetic friction between his skis and the hill is 0.7.
**Question:**
Does the skier make it to the bottom? If so, how long does it take?
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This problem involves concepts of kinematics and dynamics, specifically dealing with inclined planes and friction. The key elements given are:
- **Incline angle:** 30 degrees
- **Hill length:** 2 km (2000 m)
- **Initial speed:** 5 m/s
- **Coefficient of kinetic friction:** 0.7
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