1. What is Gravitational Potential Energy?

Gravitational Potential Energy (PE) is the energy stored in an object due to its position in a gravitational field. It represents the work done to lift an object against gravity and is measured in joules (J).

2. How Does the Calculator Work?

The calculator uses the gravitational potential energy formula:

Where:

• \( m \) — Mass of the object (kg)
• \( g \) — Gravitational acceleration (m/s²)
• \( h \) — Height above reference point (m)

Explanation: The formula calculates the energy stored when an object is raised to a certain height in a gravitational field. Standard gravity on Earth is approximately 9.81 m/s².

3. Importance of PE Calculation

Details: Calculating gravitational potential energy is fundamental in physics for understanding energy conservation, mechanical systems, and solving problems related to falling objects, pendulums, and energy transformations.

4. Using the Calculator

Tips: Enter mass in kilograms, gravitational acceleration in m/s² (9.81 for Earth), and height in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for gravity on Earth?
A: The standard gravitational acceleration on Earth is approximately 9.81 m/s², though it varies slightly depending on location and altitude.

Q2: Does gravitational potential energy depend on the path taken?
A: No, gravitational potential energy depends only on the vertical height difference and not on the path taken to achieve that height.

Q3: What is the reference point for height measurement?
A: The reference point is typically the lowest point in the system being analyzed, often ground level or the equilibrium position.

Q4: How does gravitational potential energy relate to kinetic energy?
A: As an object falls, its gravitational potential energy converts to kinetic energy. The total mechanical energy (PE + KE) remains constant in a closed system without friction.

Q5: Can this formula be used on other planets?
A: Yes, but you must use the appropriate gravitational acceleration value for that specific celestial body.