Question

How does impulse affect momentum?

Answer 1

Impulse is mathematically equal to the change in momentum which happens during the action of the impulsive force (the force causing impulse).

Explanation:

From Newton's second law,

`vec F = (dvecp)/dt`

`implies vecFdt = dvecp`
Integrating both sides,

`vecF int_(t""_0)^t dt = int_(p""_0)^p dvecp`

`implies vecF(t - t""_0) = vecp - vecp""_0`

By definition, impulse, `vecJ = vecF(t - t""_0)`

Thus, Impulse = Change in momentum