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Figure shows water in a container having...

Figure shows water in a container having `2.0-mm` thick walls made of a material of thermal conductivity `0.50Wm^(-1)`^(@)C^(-1)` . The container is kept in a melting-ice bath at `0^(@)C` . The total surface area in contact with water is`0.05m^(2)` . A wheel is clamped inside the water and is couple to a block of mass M as showm in the figure. As the goes down, the wheel rotates. It is found that after sopme time a steady state is reached in which the block goes donw with a contant speed of `10cm^(-1)` and the temperature of the waater remains contant at `1.0^(@)C` .Find the mass M of the block. Assume that the heat flow out of the water only through the walls in contact. Take `g=10ms^(-2)` .

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