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238_Physics ProblemsTechnical Physics

# 238_Physics ProblemsTechnical Physics - 240 Potential...

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240 Potential Energy P8.58 (a) F i i = − + + = d dx x x x x x 3 2 2 2 3 3 4 3 e j e j ± ± (b) F = 0 when x = 1 87 0 535 . . and (c) The stable point is at x = − 0 535 . point of minimum U x a f . The unstable point is at x = 1 87 . maximum in U x a f . FIG. P8.58 P8.59 K U K U i f + = + a f a f 0 30 0 9 80 0 200 1 2 250 0 200 1 2 50 0 20 0 9 80 0 200 40 0 2 2 + + = + ° . . . . . . . . sin . kg m s m N m m kg kg m s m 2 2 b g e j a f b ga f b g b g e j a f v 58 8 5 00 25 0 25 2 1 24 2 . . . . . J J kg J m s + = + = b g v v FIG. P8.59 P8.60 (a) Between the second and the third picture, E K U mech = + = − + µ mgd mv kd i 1 2 1 2 2 2 1 2 50 0 0 250 1 00 9 80 1 2 1 00 3 00 0 2 45 21 25 0 378 2 . . . . . . . . . N m kg m s kg m s N 50.0 N m m 2 2 b g b g e j b g e j d d d + = = ± = (b) Between picture two and picture four,
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