derive a relation between force actiong on a body and the acceleration produced

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Solution

According to Newton's Second Law of Motion the force applied to an object is equal to the rate of change in its momentum. So,
F = dp/dt
now the momentum is given as
p = mv
where m is the mass of the body and v is the velocity
so, we get
F = d(mv)/dt
or
F = md(v)/dt
now as acceleration a = dv/dt, we get
F = ma
which is the required relation

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