Calculating Maximum Lead Shot Capacity of Tin Can

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SUMMARY

The discussion focuses on calculating the maximum lead shot capacity of a tin can with a volume of 1200 cm³ and a mass of 130g, given the density of lead shot at 11.4 g/cm³. The key concept is buoyancy, where the buoyant force equals the mass of the displaced water. To prevent sinking, the total mass of the can and lead shot must equal the mass of the water displaced, which is determined by the volume of the can. The solution requires determining the maximum mass of lead shot that can be added without exceeding the buoyancy limit.

PREREQUISITES
  • Understanding of buoyancy principles and Archimedes' principle
  • Knowledge of density calculations and mass-volume relationships
  • Familiarity with basic physics equations, specifically the buoyancy force equation
  • Ability to perform unit conversions and basic algebraic manipulations
NEXT STEPS
  • Calculate the buoyant force acting on the tin can using the formula for buoyancy
  • Determine the maximum mass of water displaced by the tin can's volume
  • Calculate the maximum mass of lead shot that can be added without sinking
  • Explore the implications of varying densities of different materials on buoyancy
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics and buoyancy, as well as educators looking for practical examples of these concepts in action.

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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!
 
Physics news on Phys.org
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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