An object of mass, m is moving with a constant velocity, v. How much work should be done on the object in order to bring the object to rest?

Explanation

Initial K.E. `=(1)/(2)mv^(2)`
Comes to rest KE = 0
Charge in K.E. `=(1)/(2) mv^(2)`
Work done on the object = charge in its K.E. `=(1)/(2)mv^(2)`