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 systm 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 sytem.

Explanation

a) False, the total momentum and total energy of the system are conserved.
False, the external force on the system may increase or decrease the total energy of the system.
c) False, the work done during the motion of a body over a closed loop is zero only when body is moving under the action of a conservation force (such as gravitational or electrostatic force). Friction is not a conservative force hence work done by force of friction ( or work done on the body against friction) is not zero over a closed loop.
d) True, usually in an elastic collision the final kinetic energy is always less than the initial kinetic energy of the sytem.