1. What is Mechanical Energy?

Definition: Mechanical energy is the sum of kinetic energy and potential energy in a system.

Purpose: This calculator helps determine the total mechanical energy of an object by combining its kinetic and potential energy components.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E_m \) — Mechanical energy (Joules)
• \( E_k \) — Kinetic energy (Joules)
• \( E_p \) — Potential energy (Joules)

Explanation: Simply add the kinetic energy (energy of motion) and potential energy (stored energy due to position) to get the total mechanical energy.

3. Importance of Mechanical Energy Calculation

Details: Understanding mechanical energy is crucial in physics and engineering for analyzing systems where energy is conserved, such as pendulums, roller coasters, or falling objects.

4. Using the Calculator

Tips: Enter the kinetic energy and potential energy values in Joules. Both values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What are the units for mechanical energy?
A: Mechanical energy is measured in Joules (J) in the International System of Units.

Q2: Can mechanical energy be negative?
A: No, since both kinetic and potential energies are always positive or zero, mechanical energy cannot be negative.

Q3: How do I calculate kinetic energy?
A: Kinetic energy is calculated as \( E_k = \frac{1}{2}mv^2 \), where m is mass and v is velocity.

Q4: How do I calculate potential energy?
A: Gravitational potential energy is \( E_p = mgh \), where m is mass, g is gravity (9.81 m/s²), and h is height.

Q5: Is mechanical energy always conserved?
A: In an ideal system with no friction or air resistance, mechanical energy is conserved. In real systems, some energy is typically lost to heat.