The function of the force associated with the given energy function is
.
Further Explanation:
Given:
The potential energy function for the system is
.
Concept:
From the work-energy theorem, the force function for a given potential function can be expressed as the first derivative of the potential energy function with respect to the position of the body.
The force function is represented mathematically as:
......(1)
The potential energy function for the system is given as:

Substitute
for
in equation (1).

Thus, the function of the force associated with the given energy function is
.
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Answer Details:
Grade: College
Subject: Physics
Chapter: Work and Force
Keywords: Potential energy function, force function, associated with,
, derivative of potential function.