Impulse and Momentum Calculator

Find impulse J = F·Δt = m·Δv and the average force from initial and final velocity, mass, and contact time, plus momentum before and after. Free.

Frequently Asked Questions

What is the impulse-momentum theorem?

J = F·Δt = Δp = m·Δv. Impulse equals the change in momentum. SI units: N·s (equivalent to kg·m/s).

Why does longer contact time reduce force?

Because impulse depends on m and Δv, not on Δt. Spreading the same impulse over more time means smaller average force - the principle behind airbags and crumple zones.

Can impulse be negative?

Yes - direction matters. A rebound reverses velocity, giving Δv with the opposite sign of the original velocity.

Where does impulse show up in everyday life?

Anywhere a force acts over a short time. In a car crash, crumple zones stretch out the contact time so the same change in momentum produces a smaller, survivable force. Catching a ball or an egg, you draw your hands back to lengthen Δt; a boxer rolls with a punch for the same reason; and a bat or golf club transfers a large impulse to the ball in a brief hit. The impulse (change in momentum) is fixed by mass and velocity change, so a longer contact time always means a gentler force.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.