Question

How is impulse related to momentum?

Answer 1

`underbrace(bbJ = int_(t_1)^(t_2) bbF \ dt)_("Impulse") = underbrace(bb p_2 -bb p_2)_("Change in Momentum")`

Explanation:

Newton's 2nd Law:

• `bbF = dot bb p`

`implies underbrace(Delta bb p = dot bb p Delta t)_("Change in Momentum") = underbrace(bb F Delta t)_("Impulse")`

In integral form:

`underbrace(bbJ = int_(t_1)^(t_2) bbF \ dt)_("Impulse") = underbrace(bb p_2 - bb p_2)_("Change in Momentum")`