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 motion and position that an object has.

2. How Does the Calculator Work?

The calculator uses the mechanical energy equation:

Where:

• \( m \) — Mass of the object (kg)
• \( v \) — Velocity of the object (m/s)
• \( g \) — Acceleration due to gravity (m/s²)
• \( h \) — Height above reference point (m)

Explanation: The first term calculates kinetic energy (energy of motion), while the second term calculates gravitational potential energy (energy due to position).

3. Importance of Mechanical Energy Calculation

Details: Calculating mechanical energy is fundamental in physics and engineering for analyzing systems where energy conservation is important, such as in mechanical systems, roller coasters, or falling objects.

4. Using the Calculator

Tips: Enter mass in kilograms, velocity in meters per second, gravity in m/s² (9.81 m/s² on Earth), and height in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of mechanical energy?
A: Mechanical energy is measured in joules (J) in the SI system.

Q2: Is mechanical energy always conserved?
A: In an ideal, frictionless system, mechanical energy is conserved. In real systems, some energy may be lost to heat or other forms.

Q3: What if my object isn't moving?
A: If velocity is zero, the kinetic energy term becomes zero, and the total mechanical energy equals the potential energy.

Q4: What if my object is at ground level?
A: If height is zero, the potential energy term becomes zero, and the total mechanical energy equals the kinetic energy.

Q5: Can this calculator be used for other planets?
A: Yes, just adjust the gravity value to match the planet's gravitational acceleration (e.g., 1.62 m/s² for the Moon).