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.

Question

Quizplus · Accepted Answer

The force on both systems is given by the negative gradient of their respective potential energy functions. Therefore, the force depends only on x and not on the parameters C, B, A of the potential energy functions. Since the two systems have the same potential energy function except for the constant term A in the second system, their forces will be identical.

A Potential Energy Function for System 1 Is Given by U1(x)=

A Potential Energy Function for System 1 Is Given by U₁(x)=