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A large block of ice `5 m` thick has a vertical hole drilled through it and is floating in the middle of a lake. What is the minimum length of a rope required to scoop up a bucket full of water through the hole? Relative density of ice `=0.9`. |
Answer» Let `rho` and `rho_(1)` be the density of ice and see water respectively. so, `rho//rho_(1)=0.9` Let H be the thickness of ice block, of crosso section area A. The weight of ice block = `A H rho g` Let x be the thickness of iceblock above the surface of water `:.` Thickness of ice block inside the water `=(H-x)` By the principle of floatation, `AH rhog=(H-x) A rho_(1) g` or `x=H(1-rho//rho_(1)) = 5(1-0.9)=0.5 m`. |
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