The plot in the figure shows the potential energy of a particle, due to the fore

Question

The plot in the figure shows the potential energy of a particle, due to the forest exerted on it by another particle, as a function of distance. Rank the magnitude of the forces at the three labeled points, greatest to lowest. A) XYZ B) ZXY C) XZY D) YZX In the figure, a very small toy race car of mass m is released from rest on the loop-the-loop track. If it is released at a height 2R above the floor, what is the maximum height it can reach the circular track, neglecting friction? A) 2.00 R B) 1.67 R C) 1.25 R D) 1.38 R

Explanation / Answer

14, XZY (B)

at Y PE is lowest, it is the equilibrium position and the force is least

F = dV/x at x, dV/dx is maximum at Y it is 0 and at Z it is lower than at X

15)

intial PE = mg*2R = 2mgR

there is no friction, conserving the energy

final PE = 2mgR and thefinal height = 2R on the loop

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