Question

Show that if a force acting on a particle is zero its momentum will remain constant

Answer 1

If the net force acting on an object is zero, its linear momentum is constant (conservation of linear momentum). " The linear momentum of a system of particles is equal to the product of the total mass M of the system and the velocity of the center of mass.

The second law states that the net force on a particle is equal to the time rate of change of its linear momentum p

since the law is valid only for constant-mass systems, the mass can be taken outside the differentiation operator by the constant factor rule in differentiation. Thus,

F=dP/dt

=d(mv)/dt

or F=m(dv/dt)

If F=0

then, dp/dt=0

hence, momentum is constant.

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