Energy

Gravitational Potential Energy Calculator

E = m g h
Calculator
Raw
Writing tips
  • Use * for multiplication: write G*M*m, not GMm.
  • Use ^ for powers: r^2 means r squared.
  • After a /, wrap the whole denominator in brackets: 1/(4*pi*eps0) puts everything in brackets below the line.
  • Scientific notation: write 6*10^-7 or 6e-7 — both mean 6×10⁻⁷.
  • Functions need brackets: sqrt(2*G*M/r), sin(x), ln(x).
  • Define the result with =: e.g. F = G*M*m/r^2 so the answer is labelled F.
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This calculator finds the gravitational potential energy of an object raised to a height near a planet's surface. The standard gravity g is filled in automatically, but you can change it for other planets.

What the symbols mean

Worked example

Lifting a 2 kg book to a shelf 1.8 m high stores 2 × 9.81 × 1.8 ≈ 35 J of potential energy.

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