Fluids Problem help invovling floating

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To determine how many pennies a racquetball boat can hold without sinking, the buoyant force must be calculated based on the volume of water displaced by the submerged half of the racquetball. The volume of the racquetball is derived from its diameter, and the buoyant force can be equated to the weight of the pennies added. The user attempted to find the solution by calculating densities but found it ineffective. The key lies in correctly applying the buoyant force equation and understanding the relationship between weight and volume for the pennies. Proper calculations will reveal the maximum number of pennies the racquetball boat can carry without sinking.
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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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