Question

15. Derive the relation f=ma from Newton's second law of motion
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Answer 1

Newton's second law states that the acceleration of an object is directly related to the net force and inversely related to its mass. Acceleration of an object depends on two things, force and mass.

Answer 2

Answer:

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)