169 Gravitational Potential Energy Formula Derivation
A derivation of the gravitational potential energy formula that is used to obtain \(U_{G} = mgy\) from the work done by gravity.
The work done by gravity is
\[ W_{G} = mg(y_{i} - y_{f}) \]
The gravitational potential energy is
\[ U_{G} = mgy \]
where
- \(W_{G}\) is the work done by gravity.
- \(m\) is the mass.
- \(g\) is the gravitational acceleration.
- \(y\) is the height.
- \(y_{i}\) is the initial height.
- \(y_{f}\) is the final height.
- \(U_{G}\) is the gravitational potential energy.
169.1 References
- Knight, R. D. Physics for Scientists and Engineers: A Strategic Approach with Modern Physics. Pearson, 2023. — \(U_{G}=mgy\) from \(\Delta U_{G}=-W_{G}\).
- Annihilation
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