Derive the Newton's second law of motion

Question

Animesh Paul · Accepted Answer

Dear student,

Newton's second law of motion is also known as
momentum(P) It is the product of the mass(m) and velocity(v) of an
object The rate of change of momentum of
an object is directly proportional to the unbalanced external force
acting on it The direction of the unbalanced force is the same as
the direction of the change of momentum
P=mv
Let the mass of an object=m
initial velocity=u
final velocity=v
Therefore,
Initial momentum=mu
Final momentum=mv
Rate of change of P=(mv-mu)/t
=m(v-u)/t
=m×a=F
Thus, we can restate Newton’s second law of motion
as follows:

Force acting on a body is equal
to the product of its mass
and acceleration

Regards

For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.