Question

Show that impulsive force is equal to the change in momentum

Answer 1

Answer:

By definition of impulse

I = F∆t

Now again,

F = ma

a = (v-u)/ ∆t

=> F = m(v-u)/ ∆t

=> F ∆t = m(v-u)

=> I = mv – mu

But mv = final momentum (pf )

And mu = initial momentum (pi)

=> I = pf – pi

=> I = ∆p

Thus impulse is change in momentum, proved.