The force applied against an object moving horizontally on a linear path is described by #F(x)=8-x#. By how much does the object's kinetic energy change as the object moves from # x in [ 0, 4]#?

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1 Answer
qin
Apr 24, 2017

The kinetic energy of the object will decrease by 24J.

Explanation:

Change in #E_k#
= Work done on object
= Area under the F-x graph

#int_0^4 F(x) dx = int_0^4 (8-x) dx = [8x-0.5x^2]_0^4 = 32-8 = 24#

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