How Much Additional Mass Can a Floating Glass Hold Before Sinking?

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SUMMARY

The discussion focuses on calculating the maximum additional mass a floating cylindrical glass can hold before sinking. The glass has a radius of 4.00 cm, a height of 15.0 cm, and a mass of 500 grams. To determine the maximum mass, Archimedes' Law must be applied, which relates the buoyant force to the weight of the displaced fluid. The density of the glass is calculated as 0.200 kg/m³, but further steps are required to find the total mass the glass can support without submerging.

PREREQUISITES
  • Understanding of Archimedes' Principle
  • Basic knowledge of density calculations
  • Familiarity with volume calculations for cylinders
  • Ability to convert units (e.g., cm to meters)
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  • Learn how to calculate the volume of a cylinder
  • Explore buoyancy and its applications in fluid mechanics
  • Practice problems involving floating objects and mass limits
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This discussion is beneficial for physics students, educators, and anyone interested in fluid mechanics and buoyancy principles.

C-A-L
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Homework Statement



A drinking glass with the shape of a cylinder was floating in a sink. The glass had a radius of 4.00cm, a height of 15.0cm and a mass of 500 grams. Calculate the maximum mass which can be added to the glass without the glass sinking.

Homework Equations



Density=mass/volume

The Attempt at a Solution



I know I have to convert radius, height and mass.
radius is .0400 meters, height .150 meters and mass is .500 kg.
I feel as though height is irrelevant in this problem to find the maximum mass.

I started out finding the density of the glass

.500*.400= .200 kg

not sure where to go from here.
 
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Apply Archimedes' Law.

ehild
 

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