Physics

Momentum and Impulse Calculator

Enter mass and velocity, and optionally a force and the time it acts.

Your numbers

Your results

Momentum (kg·m/s)
Momentum (kg·m/s)
—
Impulse (N·s)
—
Velocity after the impulse (m/s)
—
Kinetic energy before (J)
—

Momentum and Impulse Calculator by TheCalcTools

How the Momentum and Impulse Calculator works

Momentum is mass times velocity. An impulse, force × time, changes momentum by exactly that amount (Newton’s second law in impulse form).

Airbags and crumple zones work by stretching the time of a collision so the same change in momentum needs a smaller force.

The formula

p = mv; J = FΔt = Δp

Worked example

Using the default values shown in the calculator:

Mass (kg)1200
Velocity (m/s)25
Force applied (N)-6000
Time the force acts (s)2
  1. A 1,200 kg car at 25 m/s has momentum 30,000.00 kg·m/s.
  2. Braking with 6,000 N for 2 s gives an impulse of -12,000.00 N·s, leaving 15.00 m/s.

Result:

Momentum (kg·m/s)30,000.00
Impulse (N·s)-12,000.00
Velocity after the impulse (m/s)15.00
Kinetic energy before (J)375,000

Frequently asked questions

Is momentum conserved?

In any collision with no outside force, total momentum before equals total momentum after.

Sources and further reading

More in Physics · All calculators

This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.