A particle can move along only an x axis, where

Chapter , Problem 81

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A particle can move along only an x axis, where conservative forces act on it (Fig. 8-66 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 0. 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 0? 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. ! ! 0 2 4 6 8 10 12 F1 F2 F3 F4 x (m) Figure 8-66 81 and 82 Next, the particle is released from rest at x 0. What are (l) its kinetic energy at x 5.0 m and (m) the maximum positive position xmax it reaches? (n) What does the particle do after it reaches xmax? Range Force0 to 2.00 m2.00 m to 3.00 m3.00 m to 8.00 m F 08.00 m to 11.0 m11.0 m to 12.0 m12.0 m to 15.0 m F ! 0F:4 ! %(1.00 N)iF:3 ! %(4.00 N)i!F:2 ! &(5.00 N)iF:1 ! &(3.00 N)i