Quick P. Energy Derivation Question

In summary, the work-potential energy theorem states that dV (the derivative of potential energy) is equal to the negative of Fdr without any explanation. However, for conservative forces, a potential can still be defined. The convention of dV=-Fdr means that when positive work is done by field forces on a body, its potential energy decreases and its kinetic energy increases.
  • #1
Angry Citizen
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When deriving the work-potential energy theorem, my book states that dV (derivative of the potential energy) is equal to the negative of Fdr without a corresponding explanation. What is the justification behind the negative sign?
 
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  • #2
As such,there is no explanation,its about definition.

The important thing is,for conservative forces,you can define a potential.Even if you had define dV=Fdr,you would have a consistent theory.The fact that dV=-Fdr,and not Fdr,is not logic,its convention.

In essence,it means that,when positive work is done by the field forces on body,its potential energy decreases,and kinetic energy increases.
 

Related to Quick P. Energy Derivation Question

1. What is Quick P. Energy Derivation?

Quick P. Energy Derivation is a scientific method used to calculate the amount of energy released or absorbed during a chemical reaction.

2. How is Quick P. Energy Derivation calculated?

Quick P. Energy Derivation is calculated by subtracting the energy of the products from the energy of the reactants in a chemical reaction.

3. Why is Quick P. Energy Derivation important?

Quick P. Energy Derivation allows scientists to understand the energy changes that occur during a chemical reaction, which is important for predicting and controlling reactions in various fields such as chemistry, biology, and physics.

4. What units are used in Quick P. Energy Derivation?

The units used in Quick P. Energy Derivation are typically in joules (J) or kilojoules (kJ) for larger values. However, other units such as calories (cal) or kilocalories (kcal) may also be used.

5. Can Quick P. Energy Derivation be used for all types of reactions?

Yes, Quick P. Energy Derivation can be used for all types of reactions, including exothermic (energy releasing) and endothermic (energy absorbing) reactions.

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