Solved: A particle can move along only an x axis, where

Chapter 8, Problem 81

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A particle can move along only an x axis, where conservative forces act on it (Fig. 8-64 and the following table). The particle is released at x = 5.00 m with a kinetic energy of K = 14.0 J and a potential energy of U = O. If its motion is in the negative direction of the x axis, what are its (a) K and (b) U at x = 2.00 m and its (c) K and (d) U at x = O? If its motion is in the positive direction of the x axis, what are its (e) K and (f) U at x = 11.0 m, its (g) K and (h) U at x = 12.0 m, and its (i) K and (j) U at x = 13.0 m? (k) Plot U(x) versus x for the range x = 0 to x = 13.0 m. --~-L __ IL-~~ __ L-~~ __ LI~L- ~I __ ~-L~ __ x(m) o 2 4 6 8 10 12 Next, the particle is released from rest at x = O. What are (I) its kinetic energy at x = 5.0 m and (m) the maximum positive positionXmax it reaches? (n) What does the particle do after it reaches xmax? Range Ot02.00 m 2.00 m to 3.00 m 3.00 m to 8.00 m 8.00 m to 11.0 m 11.0 m to 12.0 m 12.0 m to 15.0 m Force F1 = +(3.00 N)i F2 = +(5.00 N)i F=O F3 = -(4.00 N)i F4 = -(1.00 N)iF=O