Kinetic Energy Calculator

Enter any two of mass m, speed v, and energy E (use consistent units), then click calculate to get the third.

Please enter a valid number.
Please enter a valid number.
Please enter a valid number.
Please fill in two known fields to calculate the remaining value
Calculation Result
Formula Reference
Kinetic Energy Formula: \(E_k = \frac{1}{2} m v^2\)

Kinetic Energy Calculator Guide

Kinetic energy is the energy of motion. In classical mechanics, the standard formula is E_k = 1/2 · m · v².

Kinetic energy grows with the square of speed, so doubling speed results in four times the energy.

In SI units, mass is in kilograms, speed in meters per second, and kinetic energy in joules.

Work and kinetic energy are linked: the work done on an object changes its kinetic energy.

The classical formula is accurate at speeds far below the speed of light; high-speed particles require relativistic treatment.

This page provides quick calculations and helps explain safety, energy use, and engineering estimates.

Quiz: Test Your Knowledge

1. What is the basic kinetic energy formula?

E_k = 1/2 · m · v².

2. What is the SI unit of kinetic energy?

Joule (J).

3. What happens to kinetic energy when speed doubles?

It becomes four times larger.

4. Which two quantities determine kinetic energy?

Mass and speed.

5. How do you find speed from energy and mass?

v = √(2E/m).

6. How do you find mass from energy and speed?

m = 2E / v².

7. Why does kinetic energy rise rapidly at high speed?

Because it scales with v².

8. How is work related to kinetic energy?

Work changes kinetic energy.

9. When is the classical formula valid?

When speed is much less than the speed of light.

10. Where is kinetic energy used in practice?

Safety analysis, mechanical design, and energy estimates.

Kinetic Energy Online Tool

Fast conversion between mass, speed, and kinetic energy for study and estimates.

Scan the QR code to use this tool on your phone.