Question

Define impulse of a force. State and prove impulse-momentum theorem.

Answer 1

Impulse is the product of force and time for which it is applied. It is a vector quantity. It is relevant to forces which act for a very short interval of time.

The impulse-momentum theorem states that the change in momentum of an object equals the impulse applied to it.

J = Δp

If mass is constant, then...

F̅Δt = mΔv

If mass is changing, then…

F dt = m dv + v dm

The impulse-momentum theorem is logically equivalent to Newton's second law of motion (the force law)

Answer 2

when a large force act on a body in a small interval of time then their product is called impulse

it is actually represented by "J"

as we know that

                    J = Fdt

and F = dp\dt

so  

                    J = dP\dt (dt)

so after cancelling time we will get

                    J = dP

so this is actually impulse- momentum theorum