Mechanical Energy Calculator

Enter the velocity, mass and height of the object in the input field and tool will calculate the mechanical energy

$$\text{ME} = \frac{1}{2}m{v}^{2}+mgh$$

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What is Mechanical Energy?

Mechanical energy is the sum of the Kinetic energy and the potential energy of an object. The mechanical energy of an object is calculated to find the ability of an object to do the work. Mechanical energy is produced due to the motion of an object or by the position of an object. The mechanical energy calculator allows you to calculate the mechanical energy of an object. Mechanical energy is the ability to do work that is produced due to the motion of an object or its position above the ground.

How to Find Mechanical Energy?

The formula for calculating mechanical energy is:

\[ \text{Mechanical Energy} = \text{Kinetic Energy} + \text{Potential Energy} \]

Or mathematically:

\[ TE = \frac{1}{2} m v^2 + m g H \]

Where:

  • \( m \) = Mass of the object
  • \( v \) = Velocity of the object
  • \( g \) = Acceleration due to gravity
  • \( H \) = Height of the object

Mechanical Energy Formula Details

Example:

Find the mechanical energy of an object having a mass of \(10 \, \text{kg}\), velocity of \(3 \, \text{m/s}\), and lying at a height of \(10 \, \text{m}\) above the ground. Take \(g = 9.8 \, \text{m/s}^2\).

Given:

  • \( m = 10 \, \text{kg} \)
  • \( v = 3 \, \text{m/s} \)
  • \( H = 10 \, \text{m} \)
  • \( g = 9.8 \, \text{m/s}^2 \)

Solution:

Mechanical Energy formula:

\[ ME = \frac{1}{2} m v^2 + m g H \]

Substitute the values:

\[ ME = \frac{1}{2} (10)(3)^2 + (10)(9.8)(10) \]

Step by step calculation:

\[ ME = 45 + 980 \]

So, the mechanical energy of the object is:

\[ ME = 1025 \, \text{J} \]

Joules You need to enter the mass, velocity, and height of the object in the total energy calculator to determine the mechanical energy of the object.

Working of Mechanical Energy Calculator:

Let's have a look at the working of the conservation of energy calculator.

Input:

  • Enter the mass, velocity, and height of the object 
  • Choose the unit of Mechanical energy 
  • Hit the calculate button 

Output:

  • The mechanical energy in terms of different SI units 
  • Kinetic energy & Potential energy

FAQs:

Are Mechanical Energy and Work the Same?

Yes, Mechanical energy is the ability to do work and both have the same unit which is Joule(J).

What Is the Law of Conservation of Energy?

The law of conservation of energy states that:

“Energy can neither be created nor be destroyed, you can only convert it from one form to another form”

References:

From the source of Justenergy.com: Mechanical Energy, How to Calculate Total Mechanical Energy? From the source of Wikipedia: Conservation of Mechanical Energy, How to Find Total Mechanical Energy?

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