The force applied against an object moving horizontally on a linear path is described by F(x)=x^2-x+2 . By how much does the object's kinetic energy change as the object moves from x in [ 1, 3 ]?

1 Answer
Oct 18, 2016

The work is done is, so it's KE increases by, 26/3 J

Explanation:

W = int_a^c F(x) dx

= int_1^3 x^2 - x + 2 dx

= [ x^3/3 - x^2/2 + 2x ]_1^3 = 26/3J