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 move an object to a certain height.

2. How Does the Calculator Work?

The calculator uses the gravitational potential energy formula:

Where:

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

Height from Velocity: If velocity is provided, the calculator can determine height using the equation \( h = \frac{v^2}{2g} \) where v is the velocity.

3. Importance of PE Calculation

Details: Calculating gravitational potential energy is essential in physics, engineering, and various applications involving energy conservation, projectile motion, and mechanical systems.

4. Using the Calculator

Tips: Enter mass in kilograms, gravitational acceleration in m/s² (default is Earth's gravity 9.81 m/s²), and height in meters. Optionally provide velocity to calculate height and potential energy.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this calculator for other planets?
A: Yes, simply adjust the gravitational acceleration value to match the planet you're calculating for.

Q3: How is height calculated from velocity?
A: Using the equation \( h = \frac{v^2}{2g} \), which comes from energy conservation principles.

Q4: What units should I use for accurate results?
A: Use kilograms for mass, meters per second squared for gravity, meters for height, and meters per second for velocity.

Q5: Does air resistance affect these calculations?
A: This calculator assumes ideal conditions without air resistance. For real-world applications, additional factors may need consideration.