A particle moves along a line where the potential energy of its svstem depends on its position ras graphed in Fig- ure P8.24. In the limit as r increases without bound, l'(1) approaches +1 J. (a) Identify each equilibrium position for this particle. Indicate whether each is a point of sta- ble, unstable, or neutral equilibrium. (b) The particle will be bound if the total energy of the system is in what range? Now suppose the system has energy -3 J. Deter- mine (c) the range of positions where the particle can be found, (d) its maximum kinetic energy, (e) the location where it has maximum kinetic energy, and (f) the binding energy of the system, that is, the additional energy it would have to be given for the particle to move out to r→ 0, U (J) +6 +4 +2 r (mm) 6.
A particle moves along a line where the potential energy of its svstem depends on its position ras graphed in Fig- ure P8.24. In the limit as r increases without bound, l'(1) approaches +1 J. (a) Identify each equilibrium position for this particle. Indicate whether each is a point of sta- ble, unstable, or neutral equilibrium. (b) The particle will be bound if the total energy of the system is in what range? Now suppose the system has energy -3 J. Deter- mine (c) the range of positions where the particle can be found, (d) its maximum kinetic energy, (e) the location where it has maximum kinetic energy, and (f) the binding energy of the system, that is, the additional energy it would have to be given for the particle to move out to r→ 0, U (J) +6 +4 +2 r (mm) 6.
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Transcribed Image Text:A particle moves along a line where the potential energy
of its svstem depends on its position ras graphed in Fig-
ure P8.24. In the limit as r increases without bound, l'(1)
approaches +1 J. (a) Identify each equilibrium position
for this particle. Indicate whether each is a point of sta-
ble, unstable, or neutral equilibrium. (b) The particle will
be bound if the total energy of the system is in what
range? Now suppose the system has energy -3 J. Deter-
mine (c) the range of positions where the particle can be
found, (d) its maximum kinetic energy, (e) the location
where it has maximum kinetic energy, and (f) the binding
energy of the system, that is, the additional energy it would
have to be given for the particle to move out to r→ 0,
U (J)
+6
+4
+2
r (mm)
6.
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