# The force applied against an object moving horizontally on a linear path is described by #F(x)= sinpix +2 #. By how much does the object's kinetic energy change as the object moves from # x in [ 2, 5 ]#?

##### 1 Answer

Jun 30, 2016

#### Explanation:

the change in KE will equal the work done **assuming** as seems OK to do here, that all work is converted into the object's motion, ie there are no losses to friction etc,

on that basis we can say that Work = Force X Distance

and also that Work =

or in maths form, bearing in mind we are working in only 1 dimension, that:

so here we have