Mechanics

Impulse

J=FΔt=ΔpJ = F\Delta t = \Delta p

Impulse equals change in momentum.

Variables

J
Impulse
Change in momentum
N·s
F
Average force
Force during collision
N
Δt
Time interval
Duration of force
s
Δp
Change in momentum
Final - initial momentum
kg·m/s

Derivation

From F = dp/dt, integrate: J = ∫F dt = Δp.

Your notes

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Common questions

What is the Impulse formula?

Impulse is written J = FΔt = Δp. Impulse equals change in momentum. It belongs to Mechanics, under Momentum.

What are the units in J = FΔt = Δp?

In SI units, J is impulse, measured in kg·m/s; F is average force, measured in kg·m/s²; Δt is time interval, measured in s; Δp is change in momentum, measured in kg·m/s.

How is the Impulse formula derived?

From F = dp/dt, integrate: J = ∫F dt = Δp. The result is J = FΔt = Δp.