## Physics Problem: Work and Power in Pulling a Skier Up a Slope### Problem Statement:A skier of mass 77 kg is pulled up a slope by a motor-driven cable.### Questions:(a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s?\n[_________] kJ(b) What power (expressed in horsepower) must a motor have to perform this task?\n[_________] hp### Additional Help:If you need assistance, click the "Read It" button below.\n**Need Help?** [**Read It**]### Explanation:In this problem, you'll need to apply concepts from physics, such as the equations for work and power. Make sure to consider gravitational force, incline angle, and conversion between work and power units. Use the formula for work done against gravity and convert the work to kilojoules (kJ). For power, convert from watts to horsepower (hp) as required. ### Graphs and Diagrams:No specific graphs or diagrams are provided in this image. However, visualizing the skier on a slope inclined at 30° can help in understanding how to decompose the forces acting on the skier and in calculating the work done against gravity.

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Description: ## Physics Problem: Work and Power in Pulling a Skier Up a Slope### Problem Statement:A skier of mass 77 kg is pulled up a slope by a motor-driven cable.### Questions:(a) How much work is required to pull him 55 m up a 30° slope (assumed frictionles

Distance for which he was pulled,d= 55m Angle of slope with horizontal= 30°

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A skier of mass 77 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s? kJ (b) What power (expressed in hp) must a motor have to perform this task? hp Need Heln? Read It

A skier of mass 77 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s? kJ (b) What power (expressed in hp) must a motor have to perform this task? hp Need Heln? Read It

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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## Physics Problem: Work and Power in Pulling a Skier Up a Slope

### Problem Statement:
A skier of mass 77 kg is pulled up a slope by a motor-driven cable.

### Questions:
(a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.4 m/s?
\n[_________] kJ

(b) What power (expressed in horsepower) must a motor have to perform this task?
\n[_________] hp

### Additional Help:
If you need assistance, click the "Read It" button below.
\n**Need Help?**

[**Read It**]

### Explanation:
In this problem, you'll need to apply concepts from physics, such as the equations for work and power. Make sure to consider gravitational force, incline angle, and conversion between work and power units. Use the formula for work done against gravity and convert the work to kilojoules (kJ). For power, convert from watts to horsepower (hp) as required.

### Graphs and Diagrams:
No specific graphs or diagrams are provided in this image. However, visualizing the skier on a slope inclined at 30° can help in understanding how to decompose the forces acting on the skier and in calculating the work done against gravity.

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