Online Kinetic Energy Calculator
Calculate kinetic energy, mass, or velocity using KE = ½mv², with a choice of units.
Energy
KE = 12500 J
Mass
m = 2.06611570248 kg
Velocity
v = 1.92153784566 m/s
What Is This Tool?
The Kinetic Energy Calculator uses the formula KE = ½mv² to find an object's kinetic energy, mass, or velocity when you know the other two. Choose what to find, enter the known values with their units, and it returns the answer. For example, a 40 kg object moving at 25 m/s has a kinetic energy of 12,500 J.
How to Use This Tool?
- Choose whether to find energy, mass, or velocity.
- Select the unit you want for the answer.
- Enter the two known values with their units.
- Optionally set significant figures, then click Calculate.
Key Features
- Solves for kinetic energy, mass, or velocity.
- Supports joules, megajoules, BTU, and calories.
- Accepts mass in kg, g, oz, or lb and speed in several units.
- Lets you round the answer to a chosen number of significant figures.
- Converts mixed units automatically.
Examples
- 40 kg at 25 m/s gives a kinetic energy of 12,500 J.
- 500 J at 22 m/s gives a mass of about 2.07 kg.
- 48 J for a 26 kg object gives a velocity of about 1.92 m/s.
- Doubling the speed makes the kinetic energy four times larger.
Common Use Cases
- Solving physics problems on motion and energy.
- Comparing the energy of moving objects.
- Estimating impact energy in safety studies.
- Checking how speed affects energy.
- Working through mechanics homework.
Tips & Best Practices
- Select the correct unit for each value before calculating.
- Remember energy depends on the square of the velocity.
- Use significant figures to keep the answer tidy.
- Mass must be positive when solving for velocity.
- Velocity cannot be zero when solving for mass.
Limitations
- It models classical kinetic energy, not relativistic speeds.
- Mass and energy must be non-negative.
- Velocity must be non-zero when solving for mass.
- It calculates one of the three quantities at a time.
Frequently Asked Questions
- What is the kinetic energy formula?
- Kinetic energy equals one half times mass times velocity squared, written KE = ½mv².
- Why is velocity squared?
- Because energy grows with the square of speed, doubling the velocity makes the kinetic energy four times greater.
- What units does kinetic energy use?
- The SI unit is the joule. This calculator also supports megajoules, BTU, and calories.
- How do I find velocity from energy?
- Rearrange the formula to v = √(2KE ÷ m). Enter the energy and mass, and the calculator solves for velocity.
Key Terminology
- Kinetic energy
- The energy an object has because of its motion.
- Mass
- The amount of matter in an object, measured in kilograms.
- Velocity
- The speed of an object in a given direction.
- Joule
- The SI unit of energy, equal to one kg·m²/s².
- Significant figures
- The meaningful digits used to express a rounded value.