The Conservation of Energy Calculator helps you determine the relationships between kinetic energy, potential energy, and mechanical energy in a system.
This calculator provides both a basic and an advanced mode, allowing you to calculate these energy values using the appropriate formulas
How to Use the Calculator

Basic Calculator:
 Kinetic Energy: Enter the known values for Potential Energy and Mechanical Energy to calculate the missing kinetic energy.
 Potential Energy: Input values for Kinetic Energy and Mechanical Energy to find potential energy.
 Mechanical Energy: Enter values for Kinetic Energy and Potential Energy to calculate the total mechanical energy.

Advanced Calculator:
 Enter the Mass, Velocity, and Height of an object to calculate Kinetic Energy, Potential Energy, and Mechanical Energy.
Input Field 
Description 
Kinetic Energy 
Enter the known kinetic energy in joules (J) or leave blank to calculate. 
Potential Energy 
Enter the known potential energy in joules (J) or leave blank to calculate. 
Mechanical Energy 
Enter the total mechanical energy in joules (J) or leave blank to calculate. 
Mass 
Enter the mass in kilograms (kg) for advanced calculations. 
Velocity 
Enter the velocity in meters per second (m/s) for advanced calculations. 
Height 
Enter the height in meters (m) for advanced calculations. 
How To Calculate
Example 1: Basic Calculation
Input 
Value 
Kinetic Energy 
50 J 
Potential Energy 
30 J 
Mechanical Energy 
Calculated as 80 J 
In this example, the Mechanical Energy is calculated by adding Kinetic Energy (50 J) and Potential Energy (30 J). Thus, the total Mechanical Energy is 80 J.
Example 2: Advanced Calculation
Input 
Value 
Mass 
5 kg 
Velocity 
10 m/s 
Height 
3 m 
Kinetic Energy 
Calculated as 250 J 
Potential Energy 
Calculated as 147.15 J 
Mechanical Energy 
Calculated as 397.15 J 
In the advanced calculation, Kinetic Energy is found using $\frac{1}{2} \times \text{mass} \times \text{velocity}^2$, resulting in 250 J.
Potential Energy is calculated as $\text{mass} \times 9.81 \times \text{height}$, resulting in 147.15 J.
Mechanical Energy is the sum of Kinetic Energy and Potential Energy, totaling 397.15 J.