Consider the following statements :
(1) A light and a heavy body, having equal momenta, have equal kinetic energies.
(2) The total energy of a body in motion is equal to the work it can do in being brought to rest.
(3) A body cannot have momentum when its energy is zero.
Which of these statement(s) is/are correct ?

Options

A. (1) and (2)
B. (2) and (3)
C. Only (2)
D. Only (3)

Answer

D

Explanation

Because they have equal momenta, hence equal mv, the heavy body will move very slowly and the light body will move very quickly. As Kinetic energy is `1/2mv^2` . Thus the speed of the light body will be high giving a higher kinetic energy to it in comparison to the kinetic energy of heavy body.