Kinetic Energy Calculator (KE = 0.5 * m * v²)
Determines the translational kinetic energy of an object based on its mass and velocity. Also computes relativistic momentum and imperial foot-pound conversions.
PARAMETERS(2)
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ACTIVE COMPUTATION
Kinetic Energy
9,000Joules (J)
Equivalent to 9 Kilojoules (kJ)
Foot-Pounds (ft-lbf)
6,638.06ft-lbf
Linear Momentum (p)
1,200kg·m/s
Speed (km/h)
54km/h
Speed (mph)
33.55mph
STEP-BY-STEP MATHEMATICAL DERIVATION
1Formula: E_k = 0.5 × m × v²
2Substitution: E_k = 0.5 × 80 kg × (15 m/s)² = 0.5 × 80 × 225 = 9,000 Joules
3Momentum: p = m × v = 80 kg × 15 m/s = 1,200 kg·m/s
4Converted to Imperial: 9,000 J × 0.737562 = 6,638.06 ft-lbf
MATHEMATICAL FORMULA & GOVERNING PRINCIPLES
KE = 0.5 * m * v², p = m * v
Kinetic energy is the work required to accelerate a body of a given mass from rest to its stated velocity.
FREQUENTLY ASKED QUESTIONS (FAQ)
Why does kinetic energy increase with the square of velocity?
Because doing work requires applying a force over a distance. At higher speeds, an object covers more distance in the same time interval, multiplying the cumulative work quadratically.
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