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2 April, 04:44

Object moving in the xy-plane is acted on by a conservative force described by the potential-energy function u (x, y) = α (1/x2+1/y2), where α is a positive constant

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  1. 2 April, 06:19
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    It seems like the problem is asking for us to derive an expression for the force F⃗ stated in terms of the unit vectors i^ and j^.

    The solution for this is:

    U (x, y) = α (x^-2 + y^-2)

    F = - dU (x, y)

    F = - (dU/dx + dU/dy)

    F = - (-2αx^-3 - 2αy^-3)

    F = 2α (x^-3 + y^-3)

    F = 2α (1/x^3 i + 1/y^3 j)
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