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Physics

Average force from a known impulse

Stretching the contact time reduces the average force, which is the whole principle behind airbags and crumple zones.

The Formula

F = J / t

Stretching the contact time reduces the average force, which is the whole principle behind airbags and crumple zones.

SymbolMeaning
FAverage force
JImpulse
tTime

What Each Symbol Means

Fnewtons

Average force

Mean force over the contact period.

Jnewton seconds

Impulse

Total momentum change required.

tseconds

Time

Duration of contact.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate impulse page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Impulse, filed under Science. Every number the guide produces comes from substituting into this one line.