568_Physics ProblemsTechnical Physics

568_Physics ProblemsTechnical Physics - 570 P19.70...

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570 Temperature P19.70 At 20.0°C, the unstretched lengths of the steel and copper wires are L L s c 20 0 2 000 1 11 0 10 20 0 1 999 56 20 0 2 000 1 17 0 10 20 0 1 999 32 6 1 6 1 .. . . °= + × ° − ° = C m C C m m C C m af a f a f a f a f a f a f Under a tension F , the length of the steel and copper wires are =+ L N M O Q P LL F YA ss s 1 L N M O Q P F YA cc c 1 where ′+ ′= sc 4000 . m . Since the tension, F , must be the same in each wire, solve for F : F LL LL L YA L s c = ′+ ′ − + + bg . When the wires are stretched, their areas become A A s c + × = × + × = × −− π 1 000 10 1 11 0 10 20 0 3 140 10 1 000 10 1 17 0 10 20 0 3 139 10 3 2 6 2 6 3 2 6 2 6 . . . . m m m 2 2 ej e j a f e j a f Recall Y s 20 0 10 10 P a and Y c 11 0 10 10 P a . Substituting into the equation for F , we obtain
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