# Gravitational Potential Energy Calculator

The Gravitational Potential Energy Calculator is provided in support of our Physics Tutorials on Work, Energy and Motion which explores Motion, the different types of energy, kinetic energy, gravitational potential energy, elastic potential energy. power and efficiency with practical working examples and formula. A list of the supporting Work and Energy Physics Tutorials is available at the bottom of this page. This calculator will calculate:

1. The gravitational potential energy of an object when it is at a height from the ground
2. The mechanical energy of an object when initial height and initial velocity are given
3. The velocity of an object just before touching the ground, using the energetic approach
4. The velocity of an object at a certain height
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Mass of the Object (m) kg Initial Height of the Object (h0) m Final Height of the Object (h) m Gravitational Field Strength (g) m/s2 Initial Velocity (v0) m/s
 Initial Gravitational Potential Energy of the Object (GPE) J Mechanical Energy of the Object (ME) J Final Velocity Just Before Touching the Ground (v) m/s Velocity at a Given Height (v(h)) m/s

Please note that the formula for each calculation along with detailed calculations is shown further below this page. As you enter the specific factors of each gravitational potential energy calcualtion, the Gravitational Potential Energy Calculator will automatically calculate the results and update the formula elements with each element of the force calculation. You can then email or print this gravitational potential energy calculation as required for later use.

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## Initial Gravitational Potential Energy of the Object Formula and Calculation

GPE0 = m × g × h0
GPE0 = × ×
GPE0 = J (Joule)

## Mechanical Energy of the Object Formula and Calculation

ME = m × v20/2 + m × g × h0
ME = × /2 + × ×
ME = J (Joule)

## Final Velocity Just Before Touching the Ground Formula and Calculation

v = √v20 + 2 × g × h0
v = √ + 2 × ×
v = m/s (metre per second)

## Velocity at a Given Height Formula and Calculation

v = √v20 + 2 × g × (h0 - h)
v = √ + 2 × × ( - )
v = m/s (metre per second)

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