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A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 20° with the horizontal. The rope moves parallel to the slope with a constant speed of 0.99 m/s. The force of the rope does 800 J of work on the skier as the skier moves a distance of 6.7 m up the incline. (a) If the rope moved with a constant speed of 3.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 6.7 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.99 m/s and (c) 3.0 m/s? (a) Number i (b) Number i (c) Number i Units Units Units

A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 20° with the horizontal. The rope moves parallel to the slope with a constant speed of 0.99 m/s. The force of the rope does 800 J of work on the skier as the skier moves a distance of 6.7 m up the incline. (a) If the rope moved with a constant speed of 3.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 6.7 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.99 m/s and (c) 3.0 m/s? (a) Number i (b) Number i (c) Number i Units Units Units

College Physics
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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A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 20° with the horizontal. The rope moves parallel to the slope with a constant speed of 0.99 m/s. The force of the rope does 800 J of work on the skier as the skier moves a distance of 6.7 m up the incline. (a) If the rope moved with a constant speed of 3.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 6.7 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.99 m/s and (c) 3.0 m/s? (a) Number i (b) Number i (c) Number i Units Units Units
Transcribed Image Text:A skier is pulled by a tow rope up a frictionless ski slope that makes an angle of 20° with the horizontal. The rope moves parallel to the slope with a constant speed of 0.99 m/s. The force of the rope does 800 J of work on the skier as the skier moves a distance of 6.7 m up the incline. (a) If the rope moved with a constant speed of 3.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 6.7 m up the incline? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 0.99 m/s and (c) 3.0 m/s? (a) Number i (b) Number i (c) Number i Units Units Units
Expert Solution
Step 1

Given:

Skier moves with constant velocity.

Distance moved up the ramp = 6.7 m

Speed 1 = 0.99 m/s

Speed 2 = 3 m/s

Work done by rope when moved with speed 1 = 800 J

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