Why do we add Kinetic and Potential energy?

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SUMMARY

Adding kinetic and potential energy results in scalar addition, confirming that both forms of energy are scalar quantities. The combined total is referred to as "mechanical energy," which represents the sum of kinetic and potential energy. Total energy encompasses all forms of energy, including those transformed by dissipative forces that do not conserve mechanical energy. The discussion emphasizes the nature of energy as a scalar quantity, regardless of its positive or negative values.

PREREQUISITES
  • Understanding of scalar quantities in physics
  • Basic knowledge of kinetic energy and potential energy
  • Familiarity with the concept of mechanical energy
  • Awareness of energy transformations and dissipative forces
NEXT STEPS
  • Research the principles of scalar addition in physics
  • Explore the relationship between kinetic energy and potential energy
  • Study the concept of mechanical energy in various physical systems
  • Investigate energy transformations and their effects on total energy
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in understanding the principles of energy addition and transformations.

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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