🎓 Physics • Energy
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Kinetic Energy Calculator (KE = ½mv²)
Computes kinetic energy KE = ½mv² from mass and speed with energetic unit conversions.
Kinetic Energy Calculator
Energy possessed by an object due to its motion: KE = ½ · m · v²
KE = ½mv²
Real-World Physical Presets:
Dynamic Motion Graphicv = 100.0 km/h (62.1 mph)
Total Kinetic Energy
578,796.3 Joules (J)
Kilojoules578.796 kJ
Kilocalories138.34 kcal
Kilowatt-hours0.1608 kWh
Foot-pounds426898.2 ft·lbf
Step-by-Step Derivation
1. Formula: Kinetic Energy KE = ½ · m · v²
2. Substitution: KE = 0.5 × (1500 kg) × (27.78 m/s)²
3. Squaring Velocity: (27.78 m/s)² = 771.73 m²/s²
4. Total Kinetic Energy: KE = 578796.30 Joules (J)
5. Equivalent Units: 578.796 kJ | 138.34 kcal | 426898.2 ft·lbf
What is Kinetic Energy?
Kinetic energy is the energy possessed by an object due to its motion, proportional to velocity squared.
Formula & Step-by-Step Calculation
KE = ½ · m · v²
Work required to accelerate an object from rest to speed v.
Worked Step-by-Step Examples
Example 1
1500 kg car at 25 m/s (90 km/h)
Solution: 468,750 Joules (468.75 kJ)
• 0.5 × 1500 × 625 = 468,750 J
Common Real-World & Academic Use Cases
- ✓ Crash impact energy analysis
- ✓ Hydroelectric water turbine flow power
- ✓ Wind turbine kinetic harvesting
How to Use the Kinetic Energy Calculator (KE = ½mv²)
1
Enter Mass & Speed
Input kg and m/s.
2
Inspect Joules
View Joules, kJ, and kcal.
Frequently Asked Questions
Q: Why does doubling speed quadruple kinetic energy?
Because velocity is squared in the formula: (2v)² = 4v².