Figure 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 U3 = 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 turningpoint?

Transcribed Image Text:

U (J) 0 2 4 6 8 10 12 14 x (m)