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A conservative force F(x) acts on a 2.0 kg particle that

Chapter , Problem 77

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QUESTION:

A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in Fig. 8-63. When the particle is at x ! 2.0 m, its velocity is %1.5 m/s. What are the (a) magnitude and (b) direction of F(x) at this position? Between what positions on the (c) left and (d) right does the particle move? (e) What is the particles speed at x ! 7.0 m? 0 5 10 15 20 U(x) ( J ) 5 x (m) 0 10 15 Figure 8-63 77.

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QUESTION:

A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in Fig. 8-63. When the particle is at x ! 2.0 m, its velocity is %1.5 m/s. What are the (a) magnitude and (b) direction of F(x) at this position? Between what positions on the (c) left and (d) right does the particle move? (e) What is the particles speed at x ! 7.0 m? 0 5 10 15 20 U(x) ( J ) 5 x (m) 0 10 15 Figure 8-63 77.

ANSWER:

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Given data:

A conservative force F(x) acts on a m = 2.0 kg particle that moves along an x-axis. When the particle is at x = 2.0 m, its velocity is v = -1.5 m/s. The potential energy U(x) associated with F(x) is graphed in Fig. 8-63.

                                   



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