● 7.76 A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force cor- responds 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 point A? (b) At point B? (c) At what value of x is the kinetic energy of the parti- cle 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?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 55PQ: A particle moves in one dimension under the action of a conservative force. The potential energy of...
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7.76
●
A particle moves along the x-axis while acted on by a
single conservative force parallel to the x-axis. The force cor-
responds 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 point A? (b) At
point B? (c) At what value of x is the kinetic energy of the parti-
cle 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?
Figure P7.76
U (J)
4.0
2.0
0
-2.0
A
L I
0,5
B
¹x (m)
1.5 2.0 2.5
Transcribed Image Text:7.76 ● A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force cor- responds 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 point A? (b) At point B? (c) At what value of x is the kinetic energy of the parti- cle 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? Figure P7.76 U (J) 4.0 2.0 0 -2.0 A L I 0,5 B ¹x (m) 1.5 2.0 2.5
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