1. What is Total Mechanical Energy?

Total mechanical energy is the sum of kinetic energy (energy of motion) and potential energy (stored energy due to position or configuration) in a system. It's a fundamental concept in classical mechanics.

2. How Does the Calculator Work?

The calculator uses the mechanical energy equation:

Where:

• \( E \) — Total mechanical energy (joules)
• \( KE \) — Kinetic energy (joules)
• \( PE \) — Potential energy (joules)

Explanation: The total mechanical energy remains constant in an isolated system (conservation of mechanical energy).

3. Importance of Mechanical Energy Calculation

Details: Calculating total mechanical energy is essential for analyzing physical systems, solving problems in mechanics, and understanding energy conservation principles.

4. Using the Calculator

Tips: Enter both kinetic and potential energy values in joules. Both values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What are common types of potential energy?
A: Gravitational potential energy (mgh) and elastic potential energy (½kx²) are most common.

Q2: How is kinetic energy calculated?
A: KE = ½mv², where m is mass (kg) and v is velocity (m/s).

Q3: When is mechanical energy conserved?
A: In systems with only conservative forces (no friction, air resistance, etc.).

Q4: What are typical units for mechanical energy?
A: Joules (J) in the SI system, though ergs and foot-pounds are also used.

Q5: Can mechanical energy be negative?
A: While individual components can be negative (like gravitational PE below a reference point), total mechanical energy is typically positive.