Suppose that the metal doorway does not expand considerably

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A solid wood door 0.60 m wide is hung in a metal door way at 0.0°C by a clearance of 2.3 mm on the side. If the linear coefficient of expansion of the wood is 6.0*10-5(C°)-1, at what temperature would the door begin to touch the side of the doorway? Suppose that the metal doorway does not expand considerably.

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