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225_Physics ProblemsTechnical Physics

225_Physics ProblemsTechnical Physics - Chapter 8 P8.23 z...

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Chapter 8 227 P8.23 (a) W dx y x ydx OA = + = z z ± ± ± . . i i j 2 2 2 0 5 00 0 5 00 e j m m and since along this path, y = 0 W OA = 0 W dy y x x dy AC = + = z z ± ± ± . . j i j 2 2 0 5 00 2 0 5 00 e j m m For x = 5 00 . m, W AC = 125 J and W OAC = + = 0 125 125 J (b) W dy y x x dy OB = + = z z ± ± ± . . j i j 2 2 0 5 00 2 0 5 00 e j m m since along this path, x = 0, W OB = 0 W dx y x ydx BC = + = z z ± ± ± . . i i j 2 2 2 0 5 00 0 5 00 e j m m since y = 5 00 . m, W BC = 50 0 . J W OBC = + = 0 50 0 50 0 . . J (c) W dx dy y x ydx x dy OC = + + = + z z ± ± ± ± i j i j e j e j e j 2 2 2 2 Since x y = along OC , W x x dx OC = + = z 2 66 7 2 0 5 00 e j . . m J (d) F is nonconservative since the work done is path dependent. P8.24 (a) K W W mg h mg A
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