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Underline the correct alternative :
$(a)$ When a conservative force does positive work on a body, the potential energy of the body increases/decreases/remains unaltered.
$(b)$ Work done by a body against friction always results in a loss of its kinetic/potential energy.
$(c)$ The rate of change of total momentum of a many-particle system is proportional to the external force/sum of the internal forces on the system.
$(d)$ In an inelastic collision of two bodies, the quantities which do not change after the collision are the total kinetic energy/total linear momentum/total energy of the system of two bodies.
Solution
$(a)$ Decreases
$(b)$ Kinetic energy
$(c)$ External force
$(d)$ Total linear momentum
$(a)$ A conservative force does a positive work on a body when it displaces the body in the direction of force. As a result, the body advances toward the centre of force. It decreases the separation between the two, thereby decreasing the potential energy of the body.
$(b)$ The work done against the direction of friction reduces the velocity of a body. Hence, there is a loss of kinetic energy of the body
$(c)$ Internal forces, irrespective of their direction, cannot produce any change in the total momentum of a body. Hence, the total momentum of a many- particle system is proportional to the external forces acting on the system
$(d)$ The total linear momentum always remains conserved whether it is an elastic collision or an inelastic collision.
