A conservative force is related to potential energy, in that force is the: negat

Question

A conservative force is related to potential energy, in that force is the:

negative derivative of the potential energy with respect to time.

positive derivative of the potential energy with respect to time.

positive derivative of the potential energy with respect to position.

negative integral of the potential energy with respect to position.

positive integral of the potential energy with respect to time.

negative integral of the potential energy with respect to time.

positive integral of the potential energy with respect to position.

negative derivative of the potential energy with respect to position.

Which one would be the answer and why?

a.

negative derivative of the potential energy with respect to time.

b.

positive derivative of the potential energy with respect to time.

c.

positive derivative of the potential energy with respect to position.

d.

negative integral of the potential energy with respect to position.

e.

positive integral of the potential energy with respect to time.

f.

negative integral of the potential energy with respect to time.

g.

positive integral of the potential energy with respect to position.

h.

negative derivative of the potential energy with respect to position.

Which one would be the answer and why?

Explanation / Answer

A conservative force is negrative gradiant of potential energy so Conservative Forces are path independent, in that the work done by the force to move an object between any two points is independent of the path taken.   

F = - dU/ dx

so option ( h) is correct answer

negative derivative of the potential energy with respect to position

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