Kinetic Energy Calculator

Solve for any variable using KE = ½mv². Select what you want to find, then enter the other two values.

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Result

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Formula Reference

Kinetic Energy
KE = ½ × m × v²
Mass
m = 2 × KE / v²
Velocity
v = √(2 × KE / m)

Example Scenarios

Energy Unit Conversions

1 kJ1,000 J
1 cal4.184 J
1 kcal4,184 J
1 kWh3,600,000 J
1 BTU1,055.06 J

Frequently Asked Questions

What is kinetic energy?

Kinetic energy is the energy an object has due to its motion. Any moving object - a car, a baseball, a molecule - has kinetic energy proportional to its mass and the square of its speed.

Why is velocity squared in the formula?

KE scales with v² because kinetic energy is derived from the work-energy theorem: W = F × d. Substituting Newton's second law and kinematics equations yields the ½mv² result.

What units does this calculator use?

This calculator uses SI units: mass in kilograms (kg), velocity in meters per second (m/s), and energy in Joules (J). Convert inputs to SI before using if needed.

What is the difference between KE and PE?

Kinetic energy (KE) comes from motion. Potential energy (PE) comes from position in a force field, such as gravitational potential energy (mgh). Together they make up mechanical energy.