Question

MC 9 Consider a particle subject to a potential energy, the graph of which is depicted below. Each horizontal gridline represents 1.J of energy, and each vertical gridline 1m of distance in the x-direction. Which of the following statements are true? U x a. If the particle is at a position between the two peaks in the potential, and it has a KE of 3J, then it will never go past the positions where the peaks lie. b. If the particle has a KE of 4J and a PE of OJ, then it will stop when it reaches the position x = 0 and will remain there in stable equilibrium. c. If the total energy of the particle is -1J, then the highest KE it can have is 3J. d. All of the above are true e. None of the above are true. MC 10 A particle travels along the x-axis from x = A to x = B, experiencing a conservative force described by the solid-line graph of the potential energy U(x) shown to the right. The total energy of the particle at various points in its journey are indicated by the dashed line in the diagram. In which region(s) (if any) is the particle's speed constant, and in which region(s) (if any) is work done on the particle by a force other than the force represented by the potential energy graph? a. constant speed: I & III, work done by outside force: II b. constant speed: I & III, work done by outside force: none c. constant speed: II, work done by outside force: II d. constant speed: II, work done by outside force: none e. constant speed: none, work done by outside force: II Energy I II III $E_{tot}$ $U(x)$ A B x

MC 9 Consider a particle subject to a potential energy, the graph of which is depicted below. Each horizontal gridline represents 1.J
of energy, and each vertical gridline 1m of distance in the x-direction. Which of the following statements are true?
U
x
a.
If the particle is at a position between the two peaks in the potential, and it has a KE of 3J, then it will never go past the
positions where the peaks lie.
b. If the particle has a KE of 4J and a PE of OJ, then it will stop when it reaches the position x = 0 and will remain there in
stable equilibrium.
c.
If the total energy of the particle is -1J, then the highest KE it can have is 3J.
d. All of the above are true
e. None of the above are true.
MC 10 A particle travels along the x-axis from x = A to x = B, experiencing a
conservative force described by the solid-line graph of the potential
energy U(x) shown to the right. The total energy of the particle at various
points in its journey are indicated by the dashed line in the diagram. In
which region(s) (if any) is the particle's speed constant, and in which
region(s) (if any) is work done on the particle by a force other than the
force represented by the potential energy graph?
a. constant speed: I & III, work done by outside force: II
b. constant speed: I & III, work done by outside force: none
c. constant speed: II, work done by outside force: II
d. constant speed: II, work done by outside force: none
e. constant speed: none, work done by outside force: II
Energy
I
II
III
$E_{tot}$
$U(x)$
A
B
x

Added by Rachel V.

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