State the relation between force and acceleration. How much force acts on a body whose momentum is constant.
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Solution
According to Newton's second law, the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
It is given as F=m×a
Force is also given as the rate of change of momentum so according to the question if momentum is constant then the change in momentum will be zero and this shows that the force will be zero. So, momentum will be conserved only if the external force is zero.