How to Calculate Momentum

What is Momentum?

Momentum is the product of mass and velocity, while impulse is the change in momentum caused by a force over time. Together they describe how objects change motion.

Formula

The calculator finds momentum (p = m × v) and impulse (J = F × Δt = Δp)

J: F × Δt = Δp) — F × Δt = Δp)
F: Δp) — Δp)
p: m × v) and impulse (J = F × Δt = Δp) — m × v) and impulse (J = F × Δt = Δp)

Step-by-Step Guide

1Enter initial velocity, final velocity, mass, or force and time duration
2The calculator finds momentum (p = m × v) and impulse (J = F × Δt = Δp)
3Results show both values and verify the impulse-momentum relationship

Worked Examples

Input

m = 2 kg, v₀ = 5 m/s, v_f = 15 m/s

Result

Δp = 20 kg·m/s

Or F × t = 20 N·s for any force duration

Common Mistakes to Avoid

✕Confusing momentum direction with speed magnitude
✕Applying conservation incorrectly in systems with friction or air resistance

Frequently Asked Questions

Why is impulse important in collisions?

Extending the collision time (increasing Δt) reduces the force needed, which is why airbags save lives.

Is momentum conserved?

Yes, in isolated systems with no external forces. This is why collisions between objects follow predictable patterns.

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