7.76 A particle moves along the x-axis while acted on by a sin- gle conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in Fig. P7.76. The particle is released from rest at point A. (a) What is the direction of the force on the particle when it is at Figure P7.76 U (J) 4.0 2.0 0 -2.0 -x (m) 1.5 2.0 2.5 B point A? (b) At point B? (c) At what value of x is the kinetic energy of the particle a maximum? (d) What is the force on the particle when it is at point C? (e) What is the largest value of x reached by the particle during its motion? (f) What value or values of x correspond to points of stable equilibrium? (g) Of unstable equilibrium?

University Physics Volume 1
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Chapter7: Work And Kinetic Energy
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7.76 A particle moves along
the x-axis while acted on by a sin-
gle conservative force parallel to
the x-axis. The force corresponds
to the potential-energy function
graphed in Fig. P7.76. The particle
is released from rest at point A.
(a) What is the direction of the
force on the particle when it is at
Figure P7.76
U (J)
4.0
2.0
0
-2.0
-x (m)
1.5 2.0 2.5
B
point A? (b) At point B? (c) At what value of x is the kinetic energy of
the particle a maximum? (d) What is the force on the particle when it
is at point C? (e) What is the largest value of x reached by the particle
during its motion? (f) What value or values of x correspond to points of
stable equilibrium? (g) Of unstable equilibrium?
Transcribed Image Text:7.76 A particle moves along the x-axis while acted on by a sin- gle conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in Fig. P7.76. The particle is released from rest at point A. (a) What is the direction of the force on the particle when it is at Figure P7.76 U (J) 4.0 2.0 0 -2.0 -x (m) 1.5 2.0 2.5 B point A? (b) At point B? (c) At what value of x is the kinetic energy of the particle a maximum? (d) What is the force on the particle when it is at point C? (e) What is the largest value of x reached by the particle during its motion? (f) What value or values of x correspond to points of stable equilibrium? (g) Of unstable equilibrium?
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