KE = ½·m·v² v = √(2·KE / m) · m = 2·KE / v²

Kinetic Energy: Energy of motion — note the v² dependence. This free calculator solves for Kinetic energy, mass, velocity and shows every step.

The physics

Kinetic energy is the energy of motion. The crucial feature is the v² dependence: doubling speed quadruples kinetic energy — which is why stopping distances and crash severity rise so steeply with speed.

Worked example

m = 2 kg, v = 10 m/s. KE = ½·2·10² = 100 J. At 20 m/s it would be 400 J — four times as much.

Common uses

Vehicle safety and braking energy, ballistics, sports performance, regenerative braking, wind-turbine output.

Frequently asked questions

What is the formula for Kinetic Energy?

Kinetic Energy uses the formula KE = ½·m·v². Energy of motion — note the v² dependence.

How do you calculate Kinetic Energy?

Choose which variable to solve for, enter the values you know (in any supported unit), and the calculator substitutes them into KE = ½·m·v² and shows every step of the working. It can solve for Kinetic energy, mass, velocity.

Is the Kinetic Energy calculator free to use?

Yes — every Physics Fundamentals calculator is completely free, with no login, no ads and no usage limits.