A 73.1-kg skier rides a 2520-m-long lift to the top of a mountain. The lift makes an angle of 17.2° with the horizontal. What is the change in the skier's gravitational potential energy? Number Units

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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**Problem Statement:**

A 73.1-kg skier rides a 2520-m-long lift to the top of a mountain. The lift makes an angle of 17.2° with the horizontal. What is the change in the skier's gravitational potential energy?

**Input Fields:**

- **Number**: [Text box for input]
- **Units**: [Dropdown for selecting units]

This problem requires calculating the change in gravitational potential energy using the formula:  
\[ \Delta PE = m \cdot g \cdot h \]
where:
- \( m \) is the mass of the skier (73.1 kg),
- \( g \) is the acceleration due to gravity (9.81 m/s²),
- \( h \) is the height gained, which can be found using the sine component of the distance (2520 m) at an angle of 17.2°.

No graphs or diagrams are present in this content.
Transcribed Image Text:**Problem Statement:** A 73.1-kg skier rides a 2520-m-long lift to the top of a mountain. The lift makes an angle of 17.2° with the horizontal. What is the change in the skier's gravitational potential energy? **Input Fields:** - **Number**: [Text box for input] - **Units**: [Dropdown for selecting units] This problem requires calculating the change in gravitational potential energy using the formula: \[ \Delta PE = m \cdot g \cdot h \] where: - \( m \) is the mass of the skier (73.1 kg), - \( g \) is the acceleration due to gravity (9.81 m/s²), - \( h \) is the height gained, which can be found using the sine component of the distance (2520 m) at an angle of 17.2°. No graphs or diagrams are present in this content.
Expert Solution
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m a s s space o f space s k i e r space comma m equals space 73.1 space k g
l e n g t h space o f space l i f t space equals space 2520 space m
a n g l e space equals space 17.2 to the power of 0

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