Energy, Work & Power Calculators — Solve KE, PE & Efficiency
Calculate kinetic energy (KE = ½mv²), potential energy, work, power, and efficiency. Solve conservation of energy and mechanical advantage problems step by step.
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Understanding Energy, Work & Power
Work, energy, and power form one of the most practical frameworks in physics. Work is done when a force causes displacement: W = Fd cos(θ). A 200 N force pulling a sled 50 m at a 30° angle does W = 200 × 50 × cos(30°) = 8,660 J of work. This energy transfer changes the object's kinetic energy, potential energy, or both, depending on the situation.
Conservation of energy is one of the most powerful problem-solving tools in physics. Instead of tracking forces and accelerations through complex paths, you can simply equate the total energy at two points: KE_1 + PE_1 = KE_2 + PE_2 (when no energy is lost to friction). A 0.5 kg ball dropped from 20 m has a speed of v = sqrt(2gh) = sqrt(2 × 9.8 × 20) = 19.8 m/s at the ground — solved in one step without kinematics.
Energy concepts build directly on force and motion principles, since work is defined through force and displacement. They also connect forward to momentum and impulse, where collisions can be analyzed using both conservation of momentum and conservation of kinetic energy (in elastic collisions).