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Conservation of Energy Calculator

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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

Conservation of Energy Calculator

Use this calculator to determine the conservation of energy by calculating kinetic, potential, and mechanical energy. Enter known values to calculate the missing variable.

How to Use the Calculator

  1. 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.
  2. 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 12×mass×velocity2\frac{1}{2} \times \text{mass} \times \text{velocity}^2, resulting in 250 J.

Potential Energy is calculated as mass×9.81×height\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.

 

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