Figure 11-32 shows the potential energy U(x) of a solid

Chapter , Problem 8

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Figure 11-32 shows the potential energy U(x) of a solid ball that can roll along an x axis. The scale on the U axis is set by Us ! 100 J. The ball is uniform, rolls smoothly, and has a mass of 0.400 kg. It is released at x ! 7.0 m headed in the negative direction of the x axis with a mechanical energy of 75 J. (a) If the ball can reach x ! 0 m, what is its speed there, and if it cannot, what is its turning point? Suppose, instead, it is headed in the positive direction of the x axis when it is released at x ! 7.0 m with 75 J. (b) If the ball can reach x ! 13 m, what is its speed there, and if it cannot, what is its turning point?

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