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posted by  jojo5 on 7/22/2009 5:47:35 PM  |  status: Live  |  Earned Karma: 25

Physics

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A cylindrical tin can has a volume of 1200 cm^3 and a mass of 130 g. How many grams of lead could it carry without sinking in fresh water?
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posted by MasterChef on 7/22/2009 5:56:49 PM  |  status: Live
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Response Details:
We first will find the buoyancy force that acts on a fully submerged tin can:

The buoyancy force is equal to the weight of water displaced and is directed upwards.
                   Vc=volume of can                 ρ=density of water

We must get the volume of the can in the correct units




There is a downward force on the can equal to the weight of the can:


We therefore have a net upwards force of :


This excess upwards force is the amount of weight in lead the can can carry without sinking:

   this is the mass of lead that can be carried without sinking
 
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