State if each of the following statements is true or false. Give reasons for your answer

State if each of the following statements is true or false. Give reasons for your answer.
(a) In an elastic collision of two bodies, the momentum and energy of each body is conserved.
(b) Total energy of a system is always conserved, no matter what internal and external forces on the body are present
© Work done in the motion of a body over a closed loop is zero for every force in nature.
(d) In an inelastic collision, the final kinetic energy is
always less than the initial kinetic energy of the system.

(a) False, it is total momentum and total energy which are conserved. (b) False, force on the system can change total energy of the system.
© False, in the case of non-conservative forces like friction, the work done in a closed loop is not zero.
(d) True, there is atleast some loss of kinetic energy in an inelastic collision.