Momentum Calculator

Momentum Formula

Worked Example

A 1.5 kg ball moving at 20 m/s:

1. p = m × v
2. p = 1.5 × 20
3. p = 30 kg·m/s

In lb·ft/s: 216.9904155 lb·ft/s · Kinetic energy p²/2m: 300 J

Perfectly inelastic collision

When two bodies stick together, v = (m₁v₁ + m₂v₂)/(m₁ + m₂). A 1000 kg car at 20 m/s hitting a stationary 1000 kg car moves off at 10 m/s, and half the kinetic energy becomes heat and deformation.

More Energy, Work and Momentum Calculators

• Kinetic Energy Calculator

  KE = ½ m v²

  KE kinetic energy (J), m mass (kg), v speed (m/s)

  Example: A 20 kg object moving at 10 m/s: Kinetic energy KE = 1000 J.

  Open the kinetic energy calculator →

• Impulse Calculator

  J = F Δt = Δp

  J impulse (N·s), F average force, Δt contact time, Δp change in momentum

  Example: A bat applying an average 1200 N to a ball for 0.05 s: Impulse J = 60 N·s.

  Open the impulse calculator →

• Potential Energy Calculator

  PE = m g h

  PE potential energy (J), m mass, g gravitational acceleration, h height above the reference level

  Example: Lifting a 10 kg box 10 m on Earth: Potential energy PE = 980.665 J.

  Open the potential energy calculator →

• Work Calculator

  W = F d cos θ

  W work (J), F force, d displacement, θ angle between force and motion

  Example: Pulling a sled 10 m with 50 N at 60° to the ground: Work W = 250 J.

  Open the work calculator →

Frequently asked questions

Sources

• The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.