# Potential Energy of Position

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## Physical Law

Let $B$ be a body of mass $m$ in a gravitational field.

Let the Acceleration Due to Gravity be of constant magnitude $g$.

Let $B$ be at a height $h$ above a reference level $h_0$.

Then the potential energy $P$ of $B$ due to the position of $B$ relative to $h_0$ is given by:

- $P = m g h$

## Proof

## Sources

- 1972: George F. Simmons:
*Differential Equations*... (previous) ... (next): $\S 1.5$: Falling Bodies and Other Rate Problems