Question

state the second law of motion and derive its mathematical expression

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Answer 1

Explanation:

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∝TimeChangeinmomentum

F∝tmv−mu

F∝m(tv−u)

⇒F∝ma⇒F=kma(∵a=tv−u)

⇒F=ma(∵k=constant=1)