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Impulse

Beginner

Change in momentum caused by a force acting over time.

Key relationJ = FΔt

Impulse J = ∫F dt measures a force's effect over time and equals the change in momentum. The same impulse can come from a big force briefly or a small force for longer.

Worked example

A 1500 N kick lasting 0.02 s gives J = 30 N·s.

Common mistake

Impulse is a vector; use signs.

In more detail

Impulse is the product of the average force and the time over which it acts, and it equals the change in momentum. It is measured in newton seconds.

Real-world uses

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Frequently asked questions

Does a large impulse need a large force?

Not necessarily. A small force acting for a long time can give the same impulse as a large force for a short time.

What is the unit of impulse?

Newton seconds, equal to kilogram metres per second.

How do I calculate impulse from a graph?

Find the area under the force-time graph, which equals the impulse and therefore the change in momentum.

Related topics in Momentum & Collisions

Linear momentum · Momentum is a vector · Impulse–momentum theorem · Why airbags work · Conservation of momentum

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