science calculator

Kinetic Energy Calculator

Calculate kinetic energy from mass and velocity using ½mv².

Results

Kinetic energy (J)
4000.00

How to use this calculator

  1. Enter the object’s mass in kilograms. If you have pounds, convert to kilograms first (1 lb ≈ 0.453592 kg).
  2. Enter the object’s speed in meters per second. Convert from mph or km/h if needed.
  3. We apply KE = 0.5 × m × v² and compute the kinetic energy in joules.
  4. Interpret the result by comparing it to other energies (for example, other vehicles, projectiles, or safety thresholds).

Inputs explained

Mass
Object mass in kilograms (kg). Use a scale reading or convert from pounds by multiplying by approximately 0.453592.
Velocity
Object speed in meters per second (m/s). Convert mph to m/s by multiplying by 0.44704, or convert km/h to m/s by dividing by 3.6.

How it works

Kinetic energy measures the energy of motion. For everyday speeds well below the speed of light, the classical formula KE = ½mv² works extremely well.

We treat mass in kilograms and velocity in meters per second, then multiply 0.5 × mass × velocity² to get kinetic energy in joules (J).

Because velocity is squared, changes in speed have a much larger impact on kinetic energy than proportional changes in mass.

Formula

Kinetic energy (KE) = ½ × m × v²\n\nWhere m is mass in kilograms and v is speed in meters per second. The result is expressed in joules (J). Because v is squared, changes in speed have a larger effect on KE than equal percentage changes in mass.

When to use it

  • Estimating the kinetic energy of moving vehicles to understand why higher speeds increase crash severity.
  • Comparing impact energies of sports balls, tools, or equipment for safety and protective gear selection.
  • Supporting physics lab exercises on energy conservation, collisions, and work–energy calculations.
  • Checking ballistics or paintball marker energies when comparing different projectiles and velocities.
  • Building intuition about how doubling speed affects energy in engineering and hobby projects.

Tips & cautions

  • Be precise with units—always convert mass to kilograms and speed to meters per second before using the formula.
  • Remember that doubling speed quadruples kinetic energy because velocity is squared in ½mv².
  • If you are analyzing rotations (flywheels, spinning disks), include rotational kinetic energy separately; this tool covers translational motion only.
  • For comparisons, focus on ratios (for example, object A has twice the kinetic energy of object B) to build intuition without worrying about exact joule counts.
  • When working with very small objects (like bullets) or very large speeds, keep track of significant figures to avoid false precision.
  • Covers translational kinetic energy only; rotational energy, deformation, and aerodynamic drag are not included.
  • Assumes constant velocity at the instant you’re analyzing; acceleration and braking forces are not modeled directly.
  • Uses classical mechanics only—no relativistic corrections, so results are valid for speeds much lower than the speed of light.
  • Real-world impacts convert kinetic energy into heat, sound, deformation, and motion of other objects; this calculator does not predict detailed damage or injury.

Worked examples

80 kg runner at 10 m/s

  • Mass m = 80 kg, velocity v = 10 m/s.
  • KE = ½ × 80 × (10)² = 0.5 × 80 × 100 = 4,000 J.
  • Interpretation: the moving runner carries about 4 kilojoules of kinetic energy.

0.145 kg baseball at 40 m/s

  • Mass m = 0.145 kg, velocity v = 40 m/s (about 89.5 mph).
  • KE = ½ × 0.145 × (40)² = 0.5 × 0.145 × 1,600 ≈ 116 J.
  • Interpretation: a fast pitch carries over 100 joules of energy, which is why proper protective gear matters.

1,500 kg car at 20 m/s vs 30 m/s

  • At 20 m/s (~45 mph): KE = ½ × 1,500 × (20)² = 0.5 × 1,500 × 400 = 300,000 J.
  • At 30 m/s (~67 mph): KE = ½ × 1,500 × (30)² = 0.5 × 1,500 × 900 = 675,000 J.
  • Interpretation: increasing speed by 50% more than doubles the kinetic energy, highlighting why high‑speed crashes are much more severe.

Deep dive

Use this kinetic energy calculator to compute KE in joules from mass and velocity using the classic ½mv² formula.

Perfect for physics homework, lab reports, ballistics comparisons, automotive and sports safety checks, or any project where you need a quick kinetic energy estimate.

Enter mass in kilograms and velocity in meters per second to instantly see how much energy is tied up in an object’s motion.

FAQs

Can I input mph or km/h directly?
Not directly. Convert mph to m/s by multiplying by 0.44704, and convert km/h to m/s by dividing by 3.6 before using this calculator so the units stay consistent.
Does this include rotational kinetic energy?
No. This calculator covers translational kinetic energy only. For spinning objects like wheels or flywheels, you would add rotational kinetic energy using KE = ½Iω².
Is this accurate for very high speeds?
For everyday speeds—cars, sports, most lab experiments—the classical ½mv² formula is accurate. At speeds approaching the speed of light, you would need relativistic energy formulas instead.
How does kinetic energy relate to damage in a collision?
Higher kinetic energy generally means more energy is available to be converted into damage, heat, and deformation during an impact. However, actual injury or damage depends on many factors like impact time, contact area, materials, and safety systems.

Related calculators

This kinetic energy calculator is an educational tool based on simplified classical physics. It does not model complex real-world impacts, structural failure, or injury risk, and it excludes rotational energy and relativistic effects. Always use professional tools and expert guidance for engineering, safety-critical, or medical decisions.