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In Figure shows water in a container having 2.0 mm thick walls made of a material of thermal conductivity 0.50 Wm−1∘C−1. The container is kept in a melting- ice bath at 0∘C. The total surface area in contact with water is 0.05m2. A wheel is clamped inside the water and is coupled to a block of mass M as shown in the figure. As the block goes down, the wheel rotates. It is found that after some time a steady state is reached in which the block goes down with a constan speed of 10cms−1 and the temperature of the water remains constant at 1.0∘C. Find the mass M of the block. Assume that the heat flows out of the water only through the walls in contact. Take g = 10ms−2. |
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Answer» In Figure shows water in a container having 2.0 mm thick walls made of a material of thermal conductivity 0.50 Wm−1∘C−1. The container is kept in a melting- ice bath at 0∘C. The total surface area in contact with water is 0.05m2. A wheel is clamped inside the water and is coupled to a block of mass M as shown in the figure. As the block goes down, the wheel rotates. It is found that after some time a steady state is reached in which the block goes down with a constan speed of 10cms−1 and the temperature of the water remains constant at 1.0∘C. Find the mass M of the block. Assume that the heat flows out of the water only through the walls in contact. Take g = 10ms−2.
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