1. What is Mechanical Energy?

Mechanical energy is the sum of kinetic energy and potential energy in a system. It represents the total energy of an object due to its motion and position.

2. How Does the Calculator Work?

The calculator uses the mechanical energy equation:

Where:

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

Explanation: This simple addition gives the total mechanical energy of the system, which remains constant in a closed system without friction.

3. Importance of Mechanical Energy Calculation

Details: Calculating mechanical energy is fundamental in physics for understanding energy conservation, analyzing mechanical systems, and solving problems in dynamics.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What are the units for mechanical energy?
A: The standard unit is joules (J) in the SI system.

Q2: Can mechanical energy be negative?
A: While individual components (KE or PE) can be negative in some reference frames, the total mechanical energy is typically positive.

Q3: When is mechanical energy conserved?
A: Mechanical energy is conserved in systems where only conservative forces act (no friction or air resistance).

Q4: What's the difference between KE and PE?
A: Kinetic energy is energy of motion (½mv²), while potential energy is stored energy due to position (mgh for gravitational PE).

Q5: How is this different from total energy?
A: Total energy includes all forms (thermal, nuclear, etc.), while mechanical energy only includes kinetic and potential.