Kinetic Energy Calculator

Calculate kinetic energy from mass and velocity using KE = 1/2 mv². Get instant results in joules for any moving object.

Examples

Running person (70 kg at 3 m/s)

KE = 0.5 × 70 × 3² = 315 J

Mass
70 kg
Velocity
3 m/s
Kinetic Energy
315 J

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How It Works

Formula

KE=12mv2KE = \frac{1}{2} m v^2

Variables, symbols and units

KEKE

Kinetic energy(J)

mm

Mass(kg)

vv

Velocity(m/s)
Calculation method explained

Enter the mass of the object in kilograms and its velocity in metres per second. The calculator applies KE = 1/2 mv² to return the kinetic energy in joules.

Kinetic energy follows from the work-energy theorem: the net work done to accelerate an object from rest to velocity v equals 1/2 mv². The calculator squares your velocity, multiplies by the mass, and halves the product. Because v is squared, doubling speed quadruples energy — that is why crash energy scales sharply with vehicle speed.

References and source material

Examples

Running person (70 kg at 3 m/s)70 kg · 3 m/s315 J

KE = 0.5 × 70 × 3² = 315 J

Mass
70 kg
Velocity
3 m/s
Kinetic Energy
315 J
Moving car (1500 kg at 20 m/s)1,500 kg · 20 m/s300,000 J

KE = 0.5 × 1500 × 20² = 300,000 J

Mass
1,500 kg
Velocity
20 m/s
Kinetic Energy
300,000 J
Tennis ball (0.058 kg at 50 m/s)0.058 kg · 50 m/s72.5 J

KE = 0.5 × 0.058 × 50² = 72.5 J

Mass
0.058 kg
Velocity
50 m/s
Kinetic Energy
72.5 J

Frequently Asked Questions

What is kinetic energy?
Kinetic energy is the energy an object possesses due to its motion. It depends on both the mass and the square of the velocity: KE = 1/2 mv².
What units does kinetic energy use?
Kinetic energy is measured in joules (J) when mass is in kilograms (kg) and velocity is in metres per second (m/s). 1 J = 1 kg·m²/s².
Why is velocity squared in the formula?
Velocity is squared because kinetic energy is derived from the work-energy theorem. Doubling the speed quadruples the energy, so impact energy rises sharply with speed.
Can kinetic energy be negative?
No. Mass is always positive and velocity is squared, so kinetic energy is always zero or positive. An object at rest has zero kinetic energy.
What is the difference between kinetic and potential energy?
Kinetic energy is the energy of motion (KE = 1/2 mv²), while potential energy is stored energy due to position or configuration (e.g., gravitational PE = mgh). Together they form mechanical energy.

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