How does impulse relate to work?

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Answer 1 · 2016-04-01T14:27:55

#Δ p = (W Δ t) / d#

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

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 = Fd#

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#