Force and Potential Energy: a Potential Energy Function for System

Multiple Choice

Force and potential energy: A potential energy function for system 1 is given by U₁(x) = Cx² + Bx³. The potential energy function for system 2 is given by U₂(x) = A + Cx² + Bx³, where A is a positive quantity. How does the force on system 1 relate to the force on system 2 at a given position?

A) The force on the two systems will be in opposite directions.
B) The force is identical on the two systems.
C) The force on the second system will be with less than the force on the first system.
D) There is no relationship between the forces on the two systems.
E) The force on the second system will be with greater than the force on the first system.