A conservative force F(x) acts on a 2.0 kg particle that moves along the x axis. The potential energy U(x) associated with F(x) is graphed in the figure below. When the particle is at x = 2.5 m, its velocity is -2.0 m/s. The "kinks" in the graph occur at (1, -2.8), (4, -17.2), and (8.5, -17.2); and the endpoint is at (15,-2). 0 6-10 D-15 -20 0 ---Select-- 0 5 (a) What are the magnitude and direction of F(x) at this position? magnitude N direction x (m) 10 (c) What is its speed at x = 7.0 m? m/s (b) Between what limits of x does the particle move? m (smallest x-value) m (largest x-value) 15

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A conservative force F(x) acts on a 2.0 kg particle that moves along the x axis. The potential energy U(x) associated with
F(x) is graphed in the figure below. When the particle is at x = 2.5 m, its velocity is -2.0 m/s. The "kinks" in the graph
occur at (1, -2.8), (4, -17.2), and (8.5, -17.2); and the endpoint is at (15, -2).
0
U(x) (J)
G
6-10
-20
0
---Select---
5
(a) What are the magnitude and direction of F(x) at this position?
magnitude
direction
x (m)
10
(c) What is its speed at x = 7.0 m?
m/s
(b) Between what limits of x does the particle move?
m (smallest x-value)
m (largest x-value)
Transcribed Image Text:A conservative force F(x) acts on a 2.0 kg particle that moves along the x axis. The potential energy U(x) associated with F(x) is graphed in the figure below. When the particle is at x = 2.5 m, its velocity is -2.0 m/s. The "kinks" in the graph occur at (1, -2.8), (4, -17.2), and (8.5, -17.2); and the endpoint is at (15, -2). 0 U(x) (J) G 6-10 -20 0 ---Select--- 5 (a) What are the magnitude and direction of F(x) at this position? magnitude direction x (m) 10 (c) What is its speed at x = 7.0 m? m/s (b) Between what limits of x does the particle move? m (smallest x-value) m (largest x-value)
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