# Gravitational Potential Energy

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**Formula:**`U = mgh`

## Introduction to Gravitational Potential Energy

Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. The formula to calculate it is based on mass, acceleration due to gravity, and height.

## Mathematical Background:

The formula ** U = mgh** represents the gravitational potential energy, where

**is the gravitational potential energy,**

*U***is the mass of the object,**

*m***is the acceleration due to gravity (approximately 9.81 m/s² near the Earth's surface), and**

*g***is the height of the object.**

*h*## Parameter usage:

`m`

= mass of the object (in kg)`g`

= acceleration due to gravity (9.81 m/s²)`h`

= height of the object (in meters)

## Output:

`U`

= gravitational potential energy (in joules)

## Data validation:

The mass should be greater than zero, and the height should be greater than or equal to zero.

## Summary:

This calculator is used to determine the gravitational potential energy of an object based on its mass and height. It is commonly used in physics and engineering applications to analyze systems involving gravitational forces.

Tags: Physics, Energy, Gravitational, Potential Energy