The potential energy corresponding to the force between objects a and b, where a is at rest and b moves along the x axis, is UF(x) = Ax+ B x Assume A and B are positive constants. Sketch a graph of U(x) for both positive and negative values of x, and then 1. Derive an expression for the force of a on b as a function of b's position x. 2. Determine the values of a where the system is in equilibrium. Label these positions on your graph. x 3. For each equilibrium position, state whether it is stable, unstable, or neutral.
The potential energy corresponding to the force between objects a and b, where a is at rest and b moves along the x axis, is UF(x) = Ax+ B x Assume A and B are positive constants. Sketch a graph of U(x) for both positive and negative values of x, and then 1. Derive an expression for the force of a on b as a function of b's position x. 2. Determine the values of a where the system is in equilibrium. Label these positions on your graph. x 3. For each equilibrium position, state whether it is stable, unstable, or neutral.
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Transcribed Image Text:The potential energy corresponding to the force between objects a and b, where a is at rest and b moves along the x axis, is
Ax +
B
X
Assume A and B are positive constants.
Sketch a graph of UF(x) for both positive and negative values of x, and then
1. Derive an expression for the force of a on b as a function of b's position c.
2. Determine the values of a where the system is in equilibrium. Label these positions on your graph.
3. For each equilibrium position, state whether it is stable, unstable, or neutral.
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