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LunaCalc

Physics

Kinetic Energy Calculator

Calculate kinetic energy from mass and velocity.

Calculator

About this calculator

This kinetic energy calculator finds the energy of a moving object from its mass and speed, and can solve backwards for speed.

Formula notes

KE = ½·m·v², so v = √(2·KE/m). Doubling speed quadruples the energy.

Worked examples

  1. Example: a 1000 kg car at 20 m/s carries KE = ½×1000×400 = 200000 J = 200 kJ.
  2. A 1,500 kg vehicle travelling at 20 m/s has kinetic energy 0.5 x 1500 x 20^2 = 300,000 J.

How to use it

  1. Enter the mass and velocity (or energy and one other).
  2. Use kilograms and m/s for joules.
  3. Read the kinetic energy or solved variable.

Frequently asked questions

Why is stopping distance so much worse at high speed?

Energy scales with v², so brakes must dissipate four times the energy at double speed.

Can kinetic energy be negative?

No. Mass and v² are always non-negative, so KE ≥ 0.

Limits and interpretation

  • The classical formula omits rotational energy, deformation, gradients, drag, and relativistic effects.
  • Because velocity is squared, measurement error in speed has an amplified effect on calculated energy.

References