Total Mechanical Energy Calculator

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✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration.ⓘ Kinetic Energy [KE]			+10% -10%
✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy [PE]			+10% -10%

✖Total mechanical energy is the sum of potential and kinetic energy.ⓘ Total Mechanical Energy [ξ]

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Formula

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Total Mechanical Energy

Formula

`"ξ" = "KE"+"PE"`

Example

`"79.1J"="75J"+"4.1J"`

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Total Mechanical Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Mechanical Energy = Kinetic Energy+Potential Energy
ξ = KE+PE
This formula uses 3 Variables

Variables Used

Total Mechanical Energy - (Measured in Joule) - Total mechanical energy is the sum of potential and kinetic energy.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration.
Potential Energy - (Measured in Joule) - Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Potential Energy: 4.1 Joule --> 4.1 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ξ = KE+PE --> 75+4.1

Evaluating ... ...

ξ = 79.1

STEP 3: Convert Result to Output's Unit

79.1 Joule --> No Conversion Required

FINAL ANSWER

79.1 Joule <-- Total Mechanical Energy

(Calculation completed in 00.004 seconds)

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Home » Physics » Material Science and Metallurgy » Basics » Total Mechanical Energy

Credits

Created by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

Abhinav Gupta has created this Calculator and 10+ more calculators!

Verified by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has verified this Calculator and 300+ more calculators!

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Total Mechanical Energy

Go Total Mechanical Energy = Kinetic Energy+Potential Energy

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Total Mechanical Energy Formula

Total Mechanical Energy = Kinetic Energy+Potential Energy
ξ = KE+PE

Total mechanical energy of a system

Mechanical energy is the total amount of kinetic energy and potential energy of an object that is used to do a specific work. Mechanical energy can also be defined as the energy of an element due to its position or motion or both. The potential energy of an object is due to its position and kinetic energy is due to its motion. The potential energy of an object is zero when it is in the movement and kinetic energy is zero when the object is in rest.

Example of total mechanical energy of a system

As the pendulum swings back and forth, a constant exchange between the kinetic energy and potential energy takes place. When the bob attains its maximum height, the potential energy of the system is the highest, whereas the kinetic energy is zero. At the mean position, the kinetic energy is the highest, and the potential energy is zero. Between these two extreme points, we see that the system possesses both kinetic and potential energy, the sum of which is constant. These observations tell us a lot about the conservation of mechanical energy.

How to Calculate Total Mechanical Energy?

Total Mechanical Energy calculator uses Total Mechanical Energy = Kinetic Energy+Potential Energy to calculate the Total Mechanical Energy, The Total mechanical energy is sum of kinetic energy and potential energy. Total Mechanical Energy is denoted by ξ symbol.

How to calculate Total Mechanical Energy using this online calculator? To use this online calculator for Total Mechanical Energy, enter Kinetic Energy (KE) & Potential Energy (PE) and hit the calculate button. Here is how the Total Mechanical Energy calculation can be explained with given input values -> 79 = 75+4.1.

FAQ

What is Total Mechanical Energy?

The Total mechanical energy is sum of kinetic energy and potential energy and is represented as ξ = KE+PE or Total Mechanical Energy = Kinetic Energy+Potential Energy. Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration & Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

How to calculate Total Mechanical Energy?

The Total mechanical energy is sum of kinetic energy and potential energy is calculated using Total Mechanical Energy = Kinetic Energy+Potential Energy. To calculate Total Mechanical Energy, you need Kinetic Energy (KE) & Potential Energy (PE). With our tool, you need to enter the respective value for Kinetic Energy & Potential Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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