A Potential Energy Function for a Certain System Is Given

question 5

Multiple Choice

A potential energy function for a certain system is given by U₁(x) = Cx² + Bx³. The potential energy function for a second system 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 in system 2 at a given position?

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

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Definitions:

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