Work, Power and Energy

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Question : 7
Total: 30
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.
(c) 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.
Solution:  
(a) False : The total momentum and total energy of the system are conserved.
(b) False : The external forces 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 the body is moving under the action of a conservative force, such as gravitational or electrostatic forces. It is not zero when the forces are non-conservative such as friction and work done by force of friction is not zero over a closed loop.
(d) True : In an inelastic collision, the final kinetic energy is always less than the initial kinetic energy of the system because in this collision some kinetic energy usually changes into some other form of energy such as heat, sound etc.
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