Which of the following correctly represents the relationship |F| = dU/dr?

The force magnitude is equal to the derivative of potential energy with respect to distance.
The expression Ke²/r⁴.
The centripetal force represented as mv²/r.
The equation labeled as (2).

Correct answer: The force magnitude is equal to the derivative of potential energy with respect to distance.

Solution

Force is defined as the negative gradient of potential energy with respect to distance. The magnitude of force is thus equal to the derivative of potential energy with respect to distance.

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