19.State 3 Newton's laws of motion. And prove the Newton second law of motion.
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Newton's first law of motion predicts the behavior of objects for which all existing forces are balanced. ... The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
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The Newton's third law of motion states that every action has an equal and opposite reaction.
Let a force 'f' be applied on a body of mass 'm' for time 't' due to which velocity changes from 'u' to 'v'. Then,
Initial momentum of the body = mu
final momentum of the body = mv
Change in momentum of the body in 't' second = mv - mu
= m(v-u)
Rate of change of momentum = change in momentum / time
= m(v-u)/t
But acceleration 'a' = change in velocity/ time
= v-u/t
therefore,
Rate of change of momentum = ma.
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