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    Gravitational Potential Energy Calculator: GPE

    Physics•2026-03-12•6 min read

    Calculate gravitational potential energy using GPE = mgh. Understand how height and mass determine stored energy and explore conservation of energy with worked ex...

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    What is Gravitational Potential Energy?

    Gravitational Potential Energy (GPE) is the energy stored in an object due to its vertical position in a gravitational field. When an object is raised, work is done against gravity and stored as GPE. When dropped, this GPE converts to kinetic energy — the foundation of energy conservation in mechanics.

    šŸŒ GPE Calculator

    Use our free calculator for instant, accurate results.

    Calculate Now →

    šŸ“ Formula

    GPE = m Ɨ g Ɨ h

    m = mass (kg), g = gravitational acceleration (9.81 m/s² on Earth), h = height above reference point (m). GPE is in Joules (J).

    šŸ“ Worked Example

    A 5 kg ball raised 10 m:
    GPE = 5 Ɨ 9.81 Ɨ 10 = 490.5 J
    When released: KE = 490.5J → v = √(2Ɨ490.5/5) = 14 m/s at ground level

    šŸ“ How to Use the Calculator

    1
    Enter MassInput mass in kg or grams.
    2
    Enter HeightHeight above the chosen reference point in meters.
    3
    Set GravityStandard Earth (9.81), Moon (1.62), Mars (3.72), or custom.
    4
    View EnergySee gravitational PE in Joules and conversion to kinetic energy if dropped.

    ā“ FAQ

    What is the reference point for GPE?

    You choose it — GPE is always relative. The reference (h=0) is wherever you define it. Only changes in GPE are physically meaningful.

    Does GPE depend on the path taken?

    No — GPE is a conservative force. Only the initial and final heights matter, not the path traveled.


    Veer Kumavat

    Veer Kumavat

    Founder & Author

    Veer is a 14-year-old student from Nashik, Maharashtra, who built SciFi Calculators to help students worldwide master STEM subjects. He is passionate about making complex science and math problems accessible through intuitive digital tools.