A Potential Energy Function for a Certain System Is Given

question 48

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. If an object begins at the same initial position with the same initial velocity in both systems, how is the motion in the two systems related?

• A)The motion in the first system will be with greater speed than in the second system because of the lower potential energy.
• B)The motion in the second system will be at greater speeds in one direction and lower speeds in the other direction relative to the first system.
• C)The motion in the two systems is identical.
• D)The motion in the second system will be with greater speed than in the first system because of the greater potential energy.
• E)The motion in the two systems will be in opposite directions.

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