Gravitational Potential Energy Formula

The Formula

PE = mgh (mass times gravity times height)

When to use: The higher you lift something, the more energy it stores (ready to fall).

Quick Example

A roller coaster at the top of a hill has maximum gravitational PE.

What This Formula Means

Energy stored in an object due to its height above a chosen reference point in a gravitational field.

The higher you lift something, the more energy it stores (ready to fall).

Worked Examples

Example 1

easy
What is the gravitational potential energy of a 4 \text{ kg} book on a shelf 2.5 \text{ m} above the floor? Use g = 9.8 \text{ m/s}^2.

Solution

  1. 1
    Use the gravitational potential energy formula: PE = mgh.
  2. 2
    Substitute the values: PE = 4 \times 9.8 \times 2.5.
  3. 3
    PE = 98 \text{ J}

Answer

PE = 98 \text{ J}
Gravitational potential energy depends on mass, gravitational acceleration, and height above a reference point. It represents stored energy due to an object's position in a gravitational field.

Example 2

medium
A 50 \text{ kg} person climbs a 15 \text{ m} ladder. How much gravitational PE do they gain? Use g = 9.8 \text{ m/s}^2.

Why This Formula Matters

The energy source for hydroelectric dams, falling objects, and roller coasters.

Frequently Asked Questions

What is the Gravitational Potential Energy formula?

Energy stored in an object due to its height above a chosen reference point in a gravitational field.

How do you use the Gravitational Potential Energy formula?

The higher you lift something, the more energy it stores (ready to fall).

Why is the Gravitational Potential Energy formula important in Physics?

The energy source for hydroelectric dams, falling objects, and roller coasters.

What do students get wrong about Gravitational Potential Energy?

The formula mgh only works near Earth's surface where g is constant.

What should I learn before the Gravitational Potential Energy formula?

Before studying the Gravitational Potential Energy formula, you should understand: potential energy, gravity.

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