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A conservative force F(x) acts on a 3.0 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 = 3.0 m, its velocity is -1.0 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 -5 5-10 -15 -20 0 5 x (m) (c) What is its speed at x = 7.0 m? m/s 10 (a) What are the magnitude and direction of F(x) at this position? magnitude N 4.8 positive x direction (b) Between what limits of x does the particle move? 1.5 m (smallest x-value) 13.5 m (largest x-value) 15

A conservative force F(x) acts on a 3.0 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 = 3.0 m, its velocity is -1.0 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 -5 5-10 -15 -20 0 5 x (m) (c) What is its speed at x = 7.0 m? m/s 10 (a) What are the magnitude and direction of F(x) at this position? magnitude N 4.8 positive x direction (b) Between what limits of x does the particle move? 1.5 m (smallest x-value) 13.5 m (largest x-value) 15

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A conservative force F(x) acts on a 3.0 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 = 3.0 m, its velocity is -1.0 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 -5 5-10 5-15 magnitude direction -20 0 5 (a) What are the magnitude and direction of F(x) at this position? 4.8 N positive x ✓ 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? 1.5 m (smallest x-value) 13.5 m (largest x-value) 15
Transcribed Image Text:A conservative force F(x) acts on a 3.0 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 = 3.0 m, its velocity is -1.0 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 -5 5-10 5-15 magnitude direction -20 0 5 (a) What are the magnitude and direction of F(x) at this position? 4.8 N positive x ✓ 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? 1.5 m (smallest x-value) 13.5 m (largest x-value) 15
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