1. What is Gravitational Potential Energy?

Gravitational Potential Energy (GPE) 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 GPE Calculator Work?

The calculator uses the GPE equation:

Where:

• \( m \) — Mass of the object (kg)
• \( g \) — Acceleration due to gravity (9.8 m/s² on Earth)
• \( h \) — Height above reference point (meters)

Explanation: The equation shows that GPE increases with greater mass, stronger gravitational field, or higher elevation.

3. Importance of GPE Calculation

Details: GPE calculations are essential in physics and engineering for understanding energy conservation, designing mechanical systems, and analyzing motion in gravitational fields.

4. Using the Calculator

Tips: Enter mass in kilograms, height in meters, and gravitational acceleration (default is Earth's gravity at 9.8 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for GPE calculations?
A: Use kilograms for mass, meters for height, and m/s² for gravity to get results in joules (the SI unit for energy).

Q2: Does GPE depend on the path taken?
A: No, GPE only depends on the vertical height difference, not the path taken to reach that height.

Q3: What's the reference point for height?
A: The reference point (h=0) is arbitrary but must be consistent. Often it's the lowest point in the system being analyzed.

Q4: How does GPE relate to kinetic energy?
A: When an object falls, its GPE converts to kinetic energy. The total mechanical energy (GPE + KE) remains constant in a closed system.

Q5: Can GPE be negative?
A: Yes, if the reference point is above the object's position. This simply means the object has less energy than at the reference level.