1. What is Kinetic and Potential Energy?

Kinetic energy (KE) is the energy possessed by an object due to its motion, while potential energy (PE) is the energy stored in an object due to its position in a gravitational field. Both are fundamental concepts in physics and mechanics.

2. How Does the Calculator Work?

The calculator uses the standard physics equations:

Where:

• \( KE \) — Kinetic Energy (Joules)
• \( PE \) — Potential Energy (Joules)
• \( m \) — Mass (kilograms)
• \( v \) — Velocity (meters per second)
• \( g \) — Gravitational acceleration (9.81 m/s²)
• \( h \) — Height (meters)

Explanation: Kinetic energy increases with the square of velocity, while potential energy increases linearly with height in a gravitational field.

3. Importance of Energy Calculations

Details: Energy calculations are essential in physics, engineering, and everyday applications. They help in understanding motion, designing mechanical systems, and analyzing energy conservation in various processes.

4. Using the Calculator

Tips: Select the energy type first, then enter mass and either velocity (for KE) or height (for PE). All values must be positive numbers. Mass is required for both calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between KE and PE?
A: Kinetic energy is energy of motion, while potential energy is stored energy due to position. KE depends on velocity, PE depends on height.

Q2: What are the standard units for energy?
A: The SI unit for energy is the Joule (J). 1 Joule = 1 kg·m²/s².

Q3: Why is g = 9.81 m/s²?
A: This is the standard acceleration due to gravity at Earth's surface. It varies slightly with location and altitude.

Q4: Can energy be negative?
A: In these calculations, energy values are always positive or zero since mass, velocity, and height cannot be negative.

Q5: How is energy conserved between KE and PE?
A: In conservative systems, the total mechanical energy (KE + PE) remains constant, with energy converting between kinetic and potential forms.