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.
Question 2
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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