Question

Derive relation between impulse and linear momentum

Answer 1

Impulse & Momentum

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

Momentum is mass in motion, and any moving object can have momentum. An object's change in momentum is equal to its impulse. Impulse is a quantity of force times the time interval. Impulse is not equal to momentum itself; rather, it's the increase or decrease of an object's momentum.