Derive an expression for force based on the second law
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Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.
F∝ Change in momentum / Time
F∝ (mv−mu)/t
F∝m(v−u)/t
⇒F∝ma⇒F=kma(∵a=(v−u)/t)
⇒F=ma(∵k=constant=1)
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