Potential Energy of Small Body above Earth

Theorem

Let $B$ be a small body of mass $m$ a distance $h$ from the surface of Earth.

The potential energy of $B$ is given by:

$V = m g h$

where $g$ is the acceleration due to gravity at (or near) Earth's surface.


Proof


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Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): potential energy
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): potential energy