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The potential energy of configuration ch...

The potential energy of configuration changes in x and y directions as `U=kxy`, where k is a positive constant. Find the force acting on the particle of the system as the function of x and y.

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To find the force acting on the particle of the system as a function of x and y, given the potential energy \( U = kxy \), we can follow these steps: ### Step 1: Understand the relationship between potential energy and force The force acting on a particle can be derived from the potential energy function. The force vector \( \mathbf{F} \) is given by the negative gradient of the potential energy: \[ \mathbf{F} = -\nabla U \] where \( \nabla U \) is the gradient of the potential energy function \( U \). ...
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