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State Newton’s second, law of motion. Express it mathematically

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Newton's second law of motion: The rate of change of momentum of a body is directly proportional to the unbalanced force applied in the direction of the force. 

If a body of mass m is moving with initial velocity u along a straight line. It is uniformly accelerated to a velocity v by applying a force for time t then, the rate of change of momentum = force applied. That is force applied

F=\frac{m(v-u)}{t}=ma

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