Why do we add Kinetic and Potential energy?

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Discussion Overview

The discussion centers on the addition of kinetic and potential energy, exploring whether this process constitutes scalar addition. Participants examine the nature of energy as a scalar quantity and its implications for mechanical energy.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant asserts that since energy is a scalar quantity, adding kinetic and potential energy is a form of scalar addition.
  • Another participant confirms this assertion.
  • A different participant notes that the scalar sum of kinetic and potential energy is referred to as "mechanical energy," distinguishing it from "total energy," which encompasses all forms of energy, including those affected by dissipative forces.
  • A summary post reiterates that adding kinetic and potential energy is scalar addition, emphasizing that potential energy can be positive or negative based on distance changes.

Areas of Agreement / Disagreement

Participants generally agree that adding kinetic and potential energy involves scalar addition, but there is a distinction made regarding the definitions of mechanical energy and total energy, which remains somewhat nuanced.

Contextual Notes

The discussion does not address potential limitations or assumptions regarding the definitions of energy types or the conditions under which they are considered scalar quantities.

akashpandey
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As we know Energy is a scalar quantity.
So when we add kinetic and potential energy to get Total energy.
So addicting these two energy (kinetic and potential) comes under Scalar addition ?
I just wanted to confirm it.
 
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Yes.
 
Also, note that the scalar sum of kinetic and potential energy is called "mechanical energy." "Total energy" is the sum of all energies and includes energy transformations brought about by dissipative forces that do not conserve mechanical energy.
 
akashpandey said:
Summary:: Adding Kinetic and Potential energy is Scalar addition.

As we know Energy is a scalar quantity.
Having a sign doesn't prevent a scalar from being a scalar. Potential energy can be positive or negative, depending on whether it increases or decreases as the distance changes.
 
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