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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:

- The gravitational potential energy of an object when it is at a height from the ground
- The mechanical energy of an object when initial height and initial velocity are given
- The velocity of an object just before touching the ground, using the energetic approach
- The velocity of an object at a certain height

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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GPE_{0} = m × g × h_{0}

GPE_{0} = × ×

GPE_{0} = J (Joule)

GPE

GPE

ME = *m × v*^{2}_{0}*/**2* + m × g × h_{0}

ME = × */**2* + × ×

ME = J (Joule)

ME =

ME =

v = √**v**^{2}_{0} + 2 × g × h_{0}

v = √ + 2 × ×

v = m/s (metre per second)

v = √

v =

v = √**v**^{2}_{0} + 2 × g × (h_{0} - h)

v = √ + 2 × × ( - )

v = m/s (metre per second)

v = √

v =

- 3.1 - Motion. Types of Motion
- 3.2 - Position, Reference Point
- 3.3 - Displacement and Distance in 1 Dimension
- 3.4 - Displacement and Distance in 2 and 3 Dimensions
- 3.5 - Speed and Velocity in 1 Dimension
- 3.6 - Speed and Velocity in 2 and 3 Dimensions
- 3.7 - The Meaning of Acceleration. Constant and Non-Constant Acceleration. Gravitational Acceleration
- 3.8 - Equations of Motion
- 3.9 - Position v's Time and Distance v's Time Graph
- 3.10 - Velocity v's Time and Speed v's Time Graph
- 3.11 - Acceleration v's Time Graph
- 3.12 - Motion in Two Dimensions. Projectile Motion
- 3.13 - Relative Motion

- 4.1 - What Causes Motion? The Meaning of Force
- 4.2 - Types of Forces I. Gravitational Force and Weight
- 4.3 - Types of Forces II. Resistive Forces (Frictional Force. Drag). Terminal Velocity
- 4.4 - Types of Forces III (Elastic Force and Tension)
- 4.5 - Newton's First Law of Motion. The Meaning of Inertia
- 4.6 - Newton's Second Law of Motion
- 4.7 - Newton's Third Law of Motion

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