Question is: A plastic slab has a thickness of h and a density p_s . when a swimmer of mass m is resting on it, the slab floats in fresh water with its top at the same level as the water surface. find the area of the slab. give your answer in terms of density of water p_w , p_s , h and m(adsbygoogle = window.adsbygoogle || []).push({});

so what i've done is used achimedes principle where all forces are in equilibrium. that is B = Mg

M being the mass of the swimmer and slab of plastic combined

so by setting this equation equal to the buoyancy force in terms of pressure I get: Mg = p_w*g*V where p_w is the density of fresh water and since V equals h*A I can sub for V and get Mg = p_w*g*h*A then i can just solve for A but the answer A = M/(p_w*h) doesnt use all the terms given in the question. am i just reading into the question too much or am i missing something here?

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# Homework Help: Buoyancy related question

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