If the potential energy function of a particle is given by `U=-(x^2+y^2+z^2)`J, whre x,y and z are in meters. Find the force acting on the particle at point `A(1m,3m,5m)`.

Explanation

To find the force acting on the particle at point A(1m, 3m, 5m) given the potential energy function \( U = -(x^2 + y^2 + z^2) \), we will follow these steps:

### Step 1: Understand the relationship between force and potential energy
The force \( \mathbf{F} \) acting on a particle can be derived from the potential energy \( U \) using the formula:
\[ \mathbf{F} = -\nabla U \]
where \( \nabla U \) is the gradient of the potential energy function.
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