🏃 Kinetic Energy Calculator (KE = ½mv²)

No ratings yet — be the first

Enter details

Kinetic energy (J)
200,000
Kinetic energy (kJ)
200
Speed (m/s)
20
Momentum (kg·m/s)
20,000

Rate this calculator

Was it useful? A quick star rating helps others — and you can leave a comment too.
Rate it: ★ ★ ★ ★ ★

📘 About the Kinetic Energy

Kinetic energy is the energy an object has because it is moving. It depends on mass and, much more strongly, on speed: KE = ½mv². This kinetic energy calculator accepts speed in m/s, km/h or mph and converts it to m/s for you.

Because speed is squared, a car at 100 km/h has about four times the kinetic energy it has at 50 km/h, and needs about four times the distance to stop.

🧮 Formula

Kinetic energy
KE = ½ m v²
Speed from kinetic energy
v = √(2KE ÷ m)

Where

  • KE = kinetic energy (J)
  • m = mass (kg)
  • v = speed (m/s); 1 km/h = 0.2778 m/s
Kinetic energy is never negative and has no direction; it is a scalar.

✏️ Worked examples

Car at 72 km/h

You enter
Mass (m)1,000 kg
Speed (v)72
Speed unitkm/h
You get
Kinetic energy (J)200,000
Kinetic energy (kJ)200
Speed (m/s)20
Momentum (kg·m/s)20,000

A 1,000 kg car at 72 km/h (20 m/s) has 200,000 J of kinetic energy.

Try this example →

Cricket ball at 40 m/s

You enter
Mass (m)0.16 kg
Speed (v)40
Speed unitm/s
You get
Kinetic energy (J)128
Kinetic energy (kJ)0.128
Speed (m/s)40
Momentum (kg·m/s)6.4

The ball carries 128 J.

Try this example →

🧭 How to use this calculator

What you enter

  • Mass (m) (kg)
  • Speed (v)
  • Speed unit

What you get

  • Kinetic energy (J)
  • Kinetic energy (kJ)
  • Speed (m/s)
  • Momentum (kg·m/s)

💡 Work–energy theorem

The work done by the net force on an object equals its change in kinetic energy: W = ½mv² − ½mu². Brakes remove a car's kinetic energy by doing negative work, turning it into heat.

❓ Frequently asked questions

What is the formula for kinetic energy?

KE = ½mv², where m is mass in kg and v is speed in m/s. The answer is in joules.

What happens to kinetic energy if speed doubles?

It becomes four times as large, because it depends on v².

Can kinetic energy be negative?

No. Mass is positive and v² is never negative.

What is the relation between kinetic energy and momentum?

KE = p² ÷ 2m, where p = mv is the momentum.