Answered: A student pushes a couch across a…

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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Question

A student pushes a couch across a carpet to his dorm room that is 250. meters away. The friction between the couch and carpet is 47.8 N. Find the work the student needs to exert on the coach to produce a net force of 25.0 N in the direction of the dorm room. It may be helpful to create a diagram and label all forces and known measurements.

Expert Solution

Step 1

Work done on an object is given by the dot product of Force applied and displacement of the object caused by this force.

$\begin{array}{rcl} W & = & \vec{F .} d \\ = & | \vec{F} | d \cos (θ) \end{array}$

where, $θ$ is the angle between the force vector and displacement.

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