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Impulse and momentum calculator

Connect a change in momentum with the average net force acting during a time interval.

Calculator

Impulse (N s)
10.00000000
Velocity change
5
Initial momentum (kg m/s)
2.00000000
Final momentum (kg m/s)
12.00000000

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How this calculator works

Impulse is the time integral of net force. Using average force gives the same total impulse even if contact force varies during impact. The momentum-change form requires constant mass. Enter signed velocities along one axis so reversing direction is counted correctly. A newton second is equivalent to a kilogram metre per second; neither is a unit of energy.

Formula

J = delta p = m(vf-vi) = F_average delta t.

Worked example

Changing a 2 kg object from -1 to 4 m/s requires 10 N s of impulse. An impulse of 12 N s delivered in 3 s corresponds to an average force of 4 N.

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Frequently asked questions

Does this calculate peak force?

No. The force result is an average over the entered time interval.

Which force should I enter?

Use the net external force along your chosen axis, including all contributions during the interval.

Can impulse be negative?

Yes. It means the momentum change points opposite your positive axis.

Sources

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