LaTeX
U=mghVariables
- m: mass
- g: gravitational acceleration
- h: height change
How to use this formula
Approximates gravitational potential energy near Earth surface.
Important notes
- Choose a reference height consistently.
Quick example
m=1 kg,h=2 m gives about 19.6 J.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Choose a reference height consistently.
- Use dimensionally consistent units and the sign, coordinate, and reference-frame conventions stated for the problem.
Worked example
m=1 kg,h=2 m gives about 19.6 J.
Common mistakes
- Do not combine values with inconsistent units or sign conventions in Gravitational Potential Energy; perform a dimensional check before accepting the result.
- Verify the result of Gravitational Potential Energy with a known case, inverse operation, dimensional check, or independent calculation before publishing it.
Continue the workflow
Use Gravitational Potential Energy in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
U=mgh. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- College Physics 2eOpenStax, Rice University — Reviewed physical quantities, units, mechanics, energy, waves, electricity, and applied formulas.
Frequently asked questions
What is the Gravitational Potential Energy used for?
Approximates gravitational potential energy near Earth surface.
Can I copy this formula as LaTeX?
Yes. Copy U=mgh or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.