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\nCalculate GPE Using Newtons – Gravitational Potential Energy Calculator
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Use this free online tool to calculate Gravitational Potential Energy (GPE) using Newton’s force of gravity.
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Gravitational Potential Energy (GPE) Calculator
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Results
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Gravitational Potential Energy (GPE)
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GPE: – Joules
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Understanding Gravitational Potential Energy (GPE)
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Gravitational Potential Energy (GPE) is the energy an object possesses due to its position in a gravitational field. When an object is lifted against gravity, work is done on it, and this work is stored as potential energy. The higher the object is lifted, the more work is done, and the greater its GPE. This energy can be converted into other forms of energy, such as kinetic energy, when the object falls.
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How This Calculator Works
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This calculator determines the GPE using the formula: GPE = F × m × h, where:
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- F is the force of gravity in Newtons (N)
- m is the mass of the object in kilograms (kg)
- h is the height in meters (m)
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By inputting the force, mass, and height, you can instantly calculate the object's GPE in Joules (J).
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Practical Examples
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Example 1: Lifting a Box
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Consider a box with a mass of 10 kg being lifted to a height of 5 meters. The force of gravity acting on the box is 98 N.
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- Force = 98 N
- Mass = 10 kg
- Height = 5 m
- GPE = 98 N × 10 kg × 5 m = 4900 J
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Example 2: A Falling Object
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An object with a mass of 2 kg is held at a height of 10 meters. The force of gravity is 19.6 N.
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- Force = 19.6 N
- Mass = 2 kg
- Height = 10 m
- GPE = 19.6 N × 2 kg × 10 m = 392 J
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Factors Affecting GPE
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- Mass: The greater the mass of an object, the more GPE it has at a given height.
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