Kinetic Energy Calculator
Calculate the energy of a moving object
Kinetic energy is the energy an object has because it is moving: the work it took to bring it up to speed, and the work it can do when it stops. Enter a mass in kilograms and a speed in metres per second and the calculator returns the translational kinetic energy in joules, kilojoules, and calories. Because speed is squared, small speed changes have outsized effects, which is why the formula matters for everything from braking distances to ballistics.
Calculator Inputs
Results
Enter values above to see your results
The calculator gives classical translational kinetic energy only; it does not include rotational energy or relativistic corrections.
How It Works
KE = ½ × m × v², with m in kilograms and v in metres per second, giving joules (1 J = 1 kg·m²/s²). Kilojoules are joules ÷ 1,000. The calorie shown is the thermochemical calorie (1 cal = 4.184 J), not the dietary kilocalorie; divide by a further 1,000 for food Calories. To use other units, convert first: km/h ÷ 3.6 = m/s, mph × 0.44704 = m/s, lb × 0.453592 = kg.
Why speed matters more than mass
Kinetic energy is linear in mass but quadratic in speed. A car at 100 km/h has four times the kinetic energy it has at 50 km/h, and stopping it requires the brakes to absorb four times the energy; on the road that shows up as a braking distance that roughly quadruples. The same logic explains why wind turbines produce eight times more power when wind speed doubles (energy per unit mass goes up fourfold, and twice as much air arrives per second).
What this formula does not include
The result is translational kinetic energy only. A spinning object also has rotational kinetic energy (½ I ω²), which matters for wheels, flywheels, and thrown balls. The formula is also the classical, low-speed version: at speeds approaching a few percent of the speed of light the relativistic form is needed, but for any everyday object the difference is immeasurable.
Worked example
Default inputs: 70 kg at 10 m/s (a sprinter near top speed)
10²= 100 m²/s²½ × 70 × 100= 3,500 J (3.5 kJ)3,500 × 0.239006= 836.5 cal (0.84 food Calories)A 1,500 kg car at 100 km/h
100 ÷ 3.6= 27.78 m/s½ × 1,500 × 27.78²= 578,700 J ≈ 579 kJ½ × 1,500 × 13.89²= 144,700 J, one quarter as muchTips & Best Practices
- •Doubling the mass doubles the energy; doubling the speed quadruples it.
- •Enter speed in m/s. For km/h divide by 3.6; for mph multiply by 0.447.
- •Kinetic energy is a scalar: direction does not matter, and it is never negative.
Frequently Asked Questions
What is a joule?
The joule is the SI unit of energy: the work done by a force of one newton over one metre. Lifting a small apple (about 100 g) one metre takes roughly 1 J. A 60 W bulb uses 60 J every second.
Why is the calorie value so small compared with food labels?
The calculator shows thermochemical calories (4.184 J each). Food labels use kilocalories, written "Calories" or kcal, which are 1,000 times larger. The 3,500 J default is 836.5 cal but only 0.84 kcal.
Is kinetic energy the same as momentum?
No. Momentum is m × v, a vector proportional to speed; kinetic energy is ½ m v², a scalar proportional to speed squared. Two objects can have equal momentum and very different kinetic energies, which is why a light fast object can do more damage than a heavy slow one with the same momentum.
Can I enter the mass in pounds?
Convert to kilograms first (1 lb = 0.453592 kg). The formula only gives joules when mass is in kg and speed in m/s.
Related Calculators
Speed of Sound Calculator
Calculate the speed of sound in air based on temperature
Force Converter
Convert Newtons (N), Pounds-force (lbf), and Kilogram-force (kgf)
Ohm's Law Calculator
Calculate Voltage (V), Current (I), Resistance (R), and Power (P)
Voltage Drop Calculator
Calculate voltage drop in wire based on distance and load