Work, Energy & Power Calculator

Work, energy, and power are fundamental concepts in physics that describe how forces can change the energy of a system and how quickly energy is transferred or transformed.

Key Concepts:

• Work (W): Energy transferred by a force acting through a distance
• Kinetic Energy (KE): Energy of motion, KE = ½mv²
• Potential Energy (PE): Stored energy due to position, PE = mgh
• Power (P): Rate of energy transfer or work done, P = W/t
• Efficiency (η): Ratio of useful output to total input

Key Formulas:

• KE = ½mv² - Kinetic energy
• PE = mgh - Gravitational potential energy
• W = Fd - Work done by a force
• P = W/t - Power (work per unit time)
• P = Fv - Power (force times velocity)
• η = (P_out/P_in) × 100% - Efficiency

Work-Energy Theorem:

• W_net = ΔKE - Net work equals change in kinetic energy
• W_net = ΔKE + ΔPE - Including potential energy changes
• E_total = KE + PE - Total mechanical energy

Units:

• Energy: Joules (J) = N·m = kg·m²/s²
• Work: Joules (J)
• Power: Watts (W) = J/s
• Efficiency: Percentage (%)

Applications:

• Mechanical systems and machines
• Electrical power generation
• Sports and athletics
• Vehicle performance analysis
• Energy conservation studies