The force applied against an object moving horizontally on a linear path is described by F(x)=8-xF(x)=8x. By how much does the object's kinetic energy change as the object moves from x in [ 2, 4]x[2,4]?

1 Answer
Mar 7, 2018

The change in kinetic energy is =10J=10J

Explanation:

The change in kinetic energy is equal to the work done,

DeltaKE=W

The work done is

dW=F(x)*dx

W=int_2^4(8-x)dx

=[8x-x^2/2]_2^4

=(32-8)-(16-2)

=24-14

=10J