Energy and Work

Work is a transfer of energy through a force acting over displacement. For a constant force, W = Fd cos θ; motion alone or force alone does not guarantee nonzero work by that force.

✓ Sources checked · 10 September 2026 · View verification

Work is a transfer of energy through a force acting over displacement. For a constant force, W = Fd cos θ; motion alone or force alone does not guarantee nonzero work by that force.

By Matan · Updated

Energy, work and power

Energy and work are measured in joules. Power measures energy-transfer rate in watts, with 1 W = 1 J/s. Kinetic energy of a classical particle is ½mv². Gravitational potential-energy change near Earth is approximately mgΔh for a system including Earth. [1], [2]

Worked lift with balanced forces

Lift a 2 kg object slowly through 1.5 m at g = 9.8 m/s², without a net kinetic-energy change. The lifting force does +29.4 J of work, gravity does −29.4 J, and net work on the object is zero. Its gravitational potential energy in the Earth–object system increases by 29.4 J. These are compatible statements about different accounting choices.

A force can do zero work during motion

If a constant upward support force carries a bag horizontally at fixed height, its work is zero because it is perpendicular to displacement. Holding a bag still also gives zero mechanical work on the ideal stationary bag, even though muscles consume energy internally.

Do not double count

Use gravity’s work or a potential-energy change consistently in the chosen energy balance. Friction and deformation can convert mechanical energy into internal energy; total energy accounting requires including these transfers. The lift is an ideal quasistatic example.

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How this article was checked

Sources checked; calculations checked where shown. The definitions, model assumptions and main explanatory claims were cross-checked against the sources below. Worked-example arithmetic and units were checked separately. These examples are illustrative calculations, not experimental measurements.

Source cross-check and editing assisted by AI. No independent human scientific review is recorded for this revision. The check applies to the version dated 10 September 2026; it is not a guarantee that every possible interpretation is correct.

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Sources and further reading

  1. OpenStax: Work and direction — Work and direction.
  2. OpenStax: Net work and kinetic energy — Net work and kinetic energy.

Cite this article

Matan. “Energy and Work.” Your Physicist. Originally published 2026-06-11; updated 2026-09-10. https://your-physicist.com/energy-and-work/

Revision history

: Replaced the force-plus-motion shortcut with the dot product and a checked lift energy balance. Added linked sources and a transparent verification record.