1. What is Gravitational Potential Energy?

Gravitational potential energy (PE) is the energy an object possesses due to its position in a gravitational field. It represents the work done against gravity to elevate the object to that position.

2. How Does the Calculator Work?

The calculator uses the gravitational potential energy equation:

Where:

• \( PE \) — Potential energy (Joules)
• \( m \) — Mass of the object (kilograms)
• \( g \) — Acceleration due to gravity (9.81 m/s² on Earth)
• \( h \) — Height above reference point (meters)

Explanation: The equation calculates the energy stored in an object due to its vertical position in Earth's gravitational field.

3. Importance of Potential Energy Calculation

Details: Calculating potential energy is essential in physics and engineering for understanding energy conservation, mechanical systems, and designing structures like dams and roller coasters.

4. Using the Calculator

Tips: Enter mass in kilograms, height in meters, and gravitational acceleration (default is Earth's gravity at 9.81 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use kilograms for mass, meters for height, and m/s² for gravity. The result will be in Joules (J).

Q2: Why is g = 9.81 m/s²?
A: This is the standard acceleration due to gravity at Earth's surface. It varies slightly by location and altitude.

Q3: What's the reference point for height?
A: The reference point (h=0) is typically the lowest possible position in the system being analyzed.

Q4: Does this work for any planet?
A: Yes, just adjust the g value (e.g., 1.62 m/s² for the Moon, 3.71 m/s² for Mars).

Q5: How does this relate to kinetic energy?
A: When an object falls, its potential energy converts to kinetic energy, following the principle of energy conservation.