Fluids Problem help invovling floating

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SUMMARY

The discussion focuses on calculating the maximum number of American pennies that can be placed in a racquetball boat without sinking it. The racquetball has a diameter of 5.6 cm and a mass of 42 g, while each penny weighs 2.5 g and occupies a volume of 0.36 cm³. The buoyant force (FB) is determined by the formula FB = mobjectg, where the object is the submerged portion of the racquetball. The key challenge is to accurately calculate the buoyant force when the racquetball is submerged to half its diameter.

PREREQUISITES
  • Understanding of buoyancy and Archimedes' principle
  • Basic knowledge of density calculations
  • Familiarity with volume and mass relationships
  • Ability to apply physics equations in practical scenarios
NEXT STEPS
  • Calculate the volume of the submerged portion of the racquetball
  • Determine the total buoyant force acting on the racquetball
  • Calculate the total mass of pennies that can be supported by the buoyant force
  • Explore the concept of density and its impact on floating objects
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This discussion is beneficial for physics students, educators, and anyone interested in fluid mechanics and buoyancy calculations.

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Homework Statement


A racquetball with a diameter of 5.6 cm and a mass of 42 g is cut in half to make a boat for American pennies made after 1982. The mass and volume of an American penny made after 1982 are 2.5 g and 0.36 cm3. How many pennies can be placed in the racquetball boat without sinking it? (The density of water is 1000 kg/m3.)



Homework Equations


FB = mobjectg


The Attempt at a Solution


I've tried finding the densities of both objects and equating it to 1000 to find the number of pennies, but it didn't work. What else should I do?
 
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What's the buoyant force on a racquetball submerged to half its diameter?
 

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