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d) If the magnitude of force you exert is 200 N, the angle 0is 60 degrees, and it takes you 10 seconds to pull the box a distance of 4 m, what is the average power (in W) that you exert during that time?

d) If the magnitude of force you exert is 200 N, the angle 0is 60 degrees, and it takes you 10 seconds to pull the box a distance of 4 m, what is the average power (in W) that you exert during that time?

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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I know parts a,b,c but i do not know d. 

**Transcription for Educational Purposes:** **Scenario:** You are pulling a box of mass \( m \) along a frictionless horizontal surface by exerting a constant force of magnitude \( F \) on a rope at an angle \( \theta \) above the horizontal, as shown in the accompanying diagram. **Diagram Description:** - The diagram shows a box with mass \( m \) on a horizontal line representing the surface. - A person applies a force \( F \) at an angle \( \theta \) above the horizontal. **Questions:** a) After the box has traveled a distance \( d \), how much work have you done? Your answer should be in terms of \( F \), \( \theta \), and \( d \). b) If the box was not moving when you started pulling on it, what is the magnitude of the velocity of the box after you pull it a distance \( d \)? Your answer should be in terms of \( m \), \( F \), \( \theta \), and \( d \). c) If the box was not moving when you started pulling on it, what is the magnitude of the velocity of the box after you pull it for a time \( t \)? Your answer should be in terms of \( m \), \( F \), \( \theta \), and \( t \). d) If the magnitude of force you exert is 200 N, the angle \( \theta \) is 60 degrees, and it takes you 10 seconds to pull the box a distance of 4 m, what is the average power (in W) that you exert during that time?
Transcribed Image Text:**Transcription for Educational Purposes:** **Scenario:** You are pulling a box of mass \( m \) along a frictionless horizontal surface by exerting a constant force of magnitude \( F \) on a rope at an angle \( \theta \) above the horizontal, as shown in the accompanying diagram. **Diagram Description:** - The diagram shows a box with mass \( m \) on a horizontal line representing the surface. - A person applies a force \( F \) at an angle \( \theta \) above the horizontal. **Questions:** a) After the box has traveled a distance \( d \), how much work have you done? Your answer should be in terms of \( F \), \( \theta \), and \( d \). b) If the box was not moving when you started pulling on it, what is the magnitude of the velocity of the box after you pull it a distance \( d \)? Your answer should be in terms of \( m \), \( F \), \( \theta \), and \( d \). c) If the box was not moving when you started pulling on it, what is the magnitude of the velocity of the box after you pull it for a time \( t \)? Your answer should be in terms of \( m \), \( F \), \( \theta \), and \( t \). d) If the magnitude of force you exert is 200 N, the angle \( \theta \) is 60 degrees, and it takes you 10 seconds to pull the box a distance of 4 m, what is the average power (in W) that you exert during that time?
Expert Solution
Step 1

(d)

The amount of work done on the box is,

W=Fcosθd

The average power you exert on the box during that distance is,

Pavg=Wt=Fcosθdt

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