### Problem StatementIn 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift?### Solution- **Number:** [Input Box]- **Units:** [Dropdown Menu for Unit Selection]To solve this problem, consider the formula for power involving work and time:\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]- **Work (W):** This is the energy transferred to raise the skiers and is given by the gravitational potential energy formula:\[ W = \text{mgh} \]where: - \( m \) is the total mass lifted (sum of masses of all skiers) - \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)) - \( h \) is the height (131 m)- **Time (t):** Convert the given time from minutes to seconds.\[ t = 2.79 \, \text{minutes} = 2.79 \times 60 \, \text{seconds} \]Finally, substitute the calculated work and time into the power formula to find the average power. Select the appropriate unit from the dropdown menu provided.

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Description: ### Problem StatementIn 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift?### Solution- **Nu

Given data: Ski lift raises four skiers at constant speed Time (t) = 2.79 minutes Height (h) = 131…

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In 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift? Number i Units +

In 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift? Number i 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

In 2.79 minutes, a ski lift raises four skiers at constant speed to a height of 131 m. The average mass of each skier is 70.7 kg. What is the average power provided by the tension in the cable pulling the lift?

### Solution

- **Number:** [Input Box]
- **Units:** [Dropdown Menu for Unit Selection]

To solve this problem, consider the formula for power involving work and time:

\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]

- **Work (W):** This is the energy transferred to raise the skiers and is given by the gravitational potential energy formula:

\[ W = \text{mgh} \]

where:
- \( m \) is the total mass lifted (sum of masses of all skiers)
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \))
- \( h \) is the height (131 m)

- **Time (t):** Convert the given time from minutes to seconds.

\[ t = 2.79 \, \text{minutes} = 2.79 \times 60 \, \text{seconds} \]

Finally, substitute the calculated work and time into the power formula to find the average power. Select the appropriate unit from the dropdown menu provided.

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