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Question

A large block of ice of 5 my thickness has a vertical hole drilled in it and is floating in a lake the minimum length of the rope required.to draw a bucket full of water through the hole is

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Solution

Let the ice is x m above the water level. Let atas of the ice block is A. Then weight of ice block= A×5×0.9 Weight of water displaced=A×(5-x)×1 As ice is floating, therefore A×5×0.9=A×(5-x)×1 And by solving this we get x=0.5 m So the minimum length of the rope is 0.5 m

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