The energy hidden in stationary objects is called potential by physicists. It comes in different forms: gravitational (associated with height in a gravitational field), elastic (compression or stretching of materials), electrical (charges in a field). All these types share a principle: the work that a system can perform is determined by its configuration. When a stone falls down, its potential melts away, turning into speed. On cosmic scales, gravitational potential energy is the main source of starlight: as a gas-dust cloud contracts, it heats up and ignites a thermonuclear furnace.
History
The term 'potentialenergy' was introduced in 1853 by the Scottish engineer and physicist William Rankine. However, the roots of the idea go back to Galileo and Leibniz, who spoke of 'living force' (vis viva) and 'dead force'. Lagrange and Hamilton embedded potential into analytical mechanics, making it the foundation of describing motion. In 1915, Emmy Noether proved that the law of conservation of energy (and hence the rigorous definition of potential function) follows from the homogeneity of time. Today, potential energy remains a key concept from quantum mechanics to cosmology.
How it works
In mechanics, the change in potentialenergy dU is related to the work dA done by a conservative force: dU = -dA = -F·dr. The potential is defined up to an arbitrary constant; only potential differences have physical meaning. In the Earth's gravitational field, U = mgh, where h is measured from a chosen reference level. In general, the gravitational potential of a point mass M is φ = -GM/r, and the potential energy of a test body of mass m is U = mφ. In electrodynamics, the scalar potential φ and vector potential A form a four-dimensional potential that determines field strengths. Quantum mechanics uses the potential energy operator in the Schrödinger equation. The gravitational potential energy of a uniform sphere (e.g., a star) determines its internal thermal history and stability.
In practice
Hydroelectric power plants convert water's potentialenergy into electricity. Any object at height stores energy ready to do work — from a clock weight to a hanging chandelier.
Fun fact
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Physicists have found a simple explanation.
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