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A polar bear partially supports herself by pulling part of her body out of the water onto a rectangular slab of ice. The ice (with specific gravity of 0.917) sinks down so that only half of what was once exposed now is exposed, and the bear has 70% of her volume and weight out of the water. Estimate the bear's mass, assuming that the total volume of ice is 10 m^3, and the bear's specific gravity is 1.0.

I have tried to solve it using the equivalence of the ratios between the volume of displaced water and volume of object and density of object and density of fluid, but have been consistently getting wrong answers. Any help is appreciated.

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# Flotation problem

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