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what does the formula F=-dU/dx actually mean ? where du is the work done in a small period, f is the force and dx is a symbol for arbitrary displacement. how and where do we use this formula. suppose a body moves in the path of a rectangle and starts from the bottom left corner say a then moves right up left and down coming to the same position. so logically one can saw that the work is zero but how and can we incorporate this formula ? do we resolve the force? basically can we use this formula to calculate if the energy is conserved or there is no work. if yes then how? Also what is the difference between definite and line integral?

what does the formula F=-dU/dx actually mean ? where du is the work done in a small period, f is the force and dx is a symbol for arbitrary displacement. how and where do we use this formula. suppose a body moves in the path of a rectangle and starts from the bottom left corner say a then moves right up left and down coming to the same position. so logically one can saw that the work is zero but how and can we incorporate this formula ? do we resolve the force? basically can we use this formula to calculate if the energy is conserved or there is no work. if yes then how? Also what is the difference between definite and line integral?

Grade:12

1 Answers

Manabendra Nath Gaine
12 Points
7 years ago
-ve derivative of potential energy gives the force in a conservative field.

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