# How does impulse relate to work?

Apr 1, 2016

Δ p = (W Δ t) / d

Where Δp is the impulse and W is the work done.

#### Explanation:

I think this question can be answered by combining the equations for impulse and work done.

1. The equation for impulse derives from Newton's second law of motion:
F = (Δp)/ (Δ t) ⇒ Δ p = F Δ t

Δp is the change of momentum, which is referred to as "impulse".

2. The equation for work done is:
$W = F d$

d is the distance moved in the direction of the force.

3. If we substitute for force, F, we can combine the equations:

Δ p = F Δ t = (W Δ t) / d