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Kinetic Energy Calculator

Kinetic energy calculator

Compute KE with SI conversion, momentum, and velocity-squared in one view.

InputsKinetic energykg + mps • 6 digitsLive

Kinetic energy

9 J

2 kg at 3 m/s.

Live

9

v^2

9

Joules

0.009

kJ

6

Momentum

Advanced breakdownFormula, steps, metrics, and history

Kinetic energy (J)

9

Kinetic energy (kJ)

0.009

Momentum (kg*m/s)

6

Velocity squared

9

LaTeX formula

\mathrm{KE}=\frac{1}{2}mv^2

Step-by-step

  1. Step 1: Convert inputs to SI units -> m = 2 kg, v = 3 m/s.
  2. Step 2: Square velocity -> v^2 = 9.
  3. Step 3: Apply KE = 1/2 * m * v^2 -> 9 J.
Formula
KE = 1/2 x m x v^2

Symbol legend

Symbol Meaning Unit Copy
KE Kinetic energy J
m Mass of object kg
v Velocity magnitude m/s
  • KE is kinetic energy in joules (J).
  • m is mass in kilograms (kg).
  • v is velocity in meters per second (m/s).
Example

Worked example: 2 kg at 3 m/s

  1. 1 m = 2 kg
  2. 2 v = 3 m/s
  3. 3 KE = 1/2 x 2 x 3^2 = 9

Kinetic energy is 9 J.

How
  1. Enter mass in kilograms.
  2. Enter velocity in meters per second.
  3. Read the kinetic energy result in joules as values update live.
Avoid
  • Using negative mass values, which are not physically valid.
  • Forgetting to square velocity before multiplying.
  • Mixing km/h and m/s without converting units first.
FAQ
What happens if velocity is zero?

Kinetic energy is zero because the object is not moving.

Can I use this with decimal values?

Yes, mass and velocity both accept decimal values.

Which unit is returned?

The result is returned in joules (J).

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