Calculating Maximum Lead Shot Capacity of Tin Can

AI Thread Summary
To determine the maximum lead shot capacity of a tin can with a volume of 1200 cm^3 and a mass of 130g, the buoyancy force must be calculated based on the mass of the displaced water. The can will sink when the mass of the displaced water is less than the combined mass of the can and the lead shot. The key is to find the amount of lead shot that balances the total mass with the buoyant force at the point of sinking. The density of lead shot is 11.4 g/cm^3, which will factor into the calculations for maximum capacity. Ultimately, the goal is to ensure the total mass does not exceed the buoyant force provided by the displaced water.
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Homework Statement


A tin can has a total volume of 1200 cm^3 and a mass of 130g. How many grams of lead shot of density 11.4 g/cm^3 could it carry without sinking in water?


Homework Equations



Bouyancy force= mass of displaced fluid*g



The Attempt at a Solution



no idea!
 
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The can will sink when mass of the displaced water becomes less than the mass of the can plus lead shot, right? How much lead shot do you need to make them equal when the can is on the verge of sinking (i.e. has displaced all of the water it possibly 'can')?
 
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