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What is the relationship of potential energy to

Chapter 7, Problem 12

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QUESTION:

Problem 12CQ

What is the relationship of potential energy to conservative force?

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QUESTION:

Problem 12CQ

What is the relationship of potential energy to conservative force?

ANSWER:

Solution 12CQ:

Step 1 of 4:-

Here we have to show the relationship between potential energy and conservative force.

So far, we know that potentials are more fundamental than the fields.

Force is a vector and potential is a scalar, where the gradient of the potential gives the force.

Mathematically,

        

 For one dimension, it is,

        

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