Kinetic Energy Calculator
Calculate kinetic energy using the formula KE = ½ × m × v²
Try these examples:
Results
Kinetic Energy:
Joules (J) of energy
Calculation Steps
Enter mass and velocity to see the calculation steps
Energy Components
| Component | Value | Unit |
|---|---|---|
| Mass (m) | - | kg |
| Velocity (v) | - | m/s |
| Velocity² (v²) | - | m²/s² |
| Kinetic Energy (KE) | - | J |
About Kinetic Energy
Kinetic energy is the energy possessed by an object due to its motion. It depends on both the mass of the object and its velocity, with velocity having a squared relationship in the formula.
Calculation Method
1. Determine the mass of the object (m)
2. Measure the velocity (v)
3. Square the velocity (v²)
4. Multiply mass by velocity squared
5. Divide by 2 for the final result
Important Notes
• Kinetic energy is a scalar quantity
• The SI unit is Joule (J)
• 1 J = 1 kg·m²/s²
• Velocity has squared relationship
• Doubling velocity quadruples energy
Applications
• Vehicle safety design
• Sports science and athletics
• Ballistics and projectile motion
• Renewable energy (wind turbines)
• Spacecraft and orbital mechanics
Common Examples
| Object | Mass (kg) | Velocity | Kinetic Energy | Real-world Context |
|---|---|---|---|---|
| Walking person | 70 | 1.4 m/s | 68.6 J | Similar to dropping a 1kg weight from 7m |
| Running athlete | 70 | 10 m/s | 3,500 J | Enough to power a 100W bulb for 35 seconds |
| Family car | 1500 | 25 m/s (90 km/h) | 468,750 J | Equivalent to 0.0001 kg of TNT |
| Baseball pitch | 0.15 | 40 m/s | 120 J | Enough to lift a 1kg weight 12.2 meters |
| Commercial jet | 200,000 | 250 m/s | 6,250,000,000 J | Equivalent to 1.5 kg of TNT |
Energy Unit Conversions
| Unit | Symbol | Equivalent in Joules | Common Usage |
|---|---|---|---|
| Joule | J | 1 J | SI unit, small-scale energy |
| Kilojoule | kJ | 1,000 J | Nutrition, exercise energy |
| Megajoule | MJ | 1,000,000 J | Vehicle energy, electricity |
| Calorie | cal | 4.184 J | Food energy, chemistry |
| Kilowatt-hour | kWh | 3,600,000 J | Electrical energy billing |
| Electronvolt | eV | 1.602×10⁻¹⁹ J | Atomic and particle physics |
Velocity Impact on Kinetic Energy
| Velocity Multiplier | Energy Multiplier | Example | Impact |
|---|---|---|---|
| 2× | 4× | 20 m/s → 40 m/s | Energy quadruples |
| 3× | 9× | 10 m/s → 30 m/s | Energy increases 9 times |
| 0.5× | 0.25× | 100 m/s → 50 m/s | Energy reduces to 25% |
| 10× | 100× | 5 m/s → 50 m/s | Energy increases 100 times |