Mechanical Energy Calculator

How to Use This Calculator

1. Enter the mass of the object in kilograms (kg).
2. Enter the height of the object from the reference point in meters (m).
3. Enter the velocity of the object in meters per second (m/s).
4. The acceleration due to gravity is set to 9.81 m/s² by default, but you can change it if needed.
5. Click the "Calculate" button to compute the potential energy, kinetic energy, and total mechanical energy.
6. Click the "Reset" button to clear all inputs and results.

Understanding Mechanical Energy

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

E_mechanical = E_potential + E_kinetic

Formula Explanations

Potential Energy (PE) = m × g × h

Where:

• m = mass of the object (kg)
• g = acceleration due to gravity (m/s²)
• h = height from the reference point (m)

Kinetic Energy (KE) = ½ × m × v²

Where:

• m = mass of the object (kg)
• v = velocity of the object (m/s)

Practical Applications

This calculator can be used in physics education, engineering calculations, and everyday scenarios to understand energy transformations. For example:

• Calculating the energy stored in a raised object
• Determining the energy of a moving object
• Understanding energy conservation in mechanical systems

Example

If an object with a mass of 2 kg is raised to a height of 5 meters, and is moving at a velocity of 3 m/s, the calculator will show:

• Potential Energy: 98.1 J
• Kinetic Energy: 18 J
• Total Mechanical Energy: 116.1 J