Assume that a single force acts on an object of mass m. This force accelerates it from rest to a certain speed v. In doing so, the force does work equal to W. What must be the increase (or decrease) factor in the work of this same force for the object

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section6.2: Work Done By A Constant Force
Problem 6.2QQ
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Assume that a single force acts on an object of mass m. This force accelerates it from rest to a certain speed v. In doing so, the force does work equal to W. What must be the increase (or decrease) factor in the work of this same force for the object to reach a velocity 5 times greater, starting from rest? Neglect the action of weight and friction.

 

a)5
b)1/10
c)10
d)1/25
e)1/5
f)1
g)It is not possible to determine
h)25

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