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Momentum Calculator

Calculate momentum from mass and velocity, or use the collision calculator to find velocities after elastic and inelastic collisions.

Momentum

Momentum is the product of mass and velocity — it measures how hard it is to stop a moving object.

p = m × v

Where:

  • p = momentum (kg·m/s)
  • m = mass (kg)
  • v = velocity (m/s)

Conservation of Momentum (collisions):

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

Elastic collision (objects bounce, kinetic energy conserved):

  • v₁' = ((m₁ - m₂)v₁ + 2m₂v₂) / (m₁ + m₂)
  • v₂' = ((m₂ - m₁)v₂ + 2m₁v₁) / (m₁ + m₂)

Inelastic collision (objects stick together):

  • v' = (m₁v₁ + m₂v₂) / (m₁ + m₂)

Examples of momentum:

  • Walking person (70 kg, 1.4 m/s): 98 kg·m/s
  • Car at highway speed (1500 kg, 30 m/s): 45,000 kg·m/s
  • Baseball pitch (0.145 kg, 40 m/s): 5.8 kg·m/s

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