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A 10.0-pound ball of radius of 260 cm is thrown into seawater (density 1029 kg/m3).        ...

A 10.0-pound ball of radius of 260 cm is thrown into seawater (density 1029 kg/m3).

              (d) If the ball floats on seawater, what percentage fraction of the ball’s volume is below the water surface?            

              (e) What is the maximum diameter a ball with m = 10.0 pound so that it does not float on water but sinks to the ground?       

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Answer #1

Solution:

Given,

mass of the ball

density of sea water

radius of the ball  

Volume of the ball is

density of the ball is ,

  

Let the volume inside water be v.

By floation law,

  

Fraction percentage is

(e) For the ball to just sink, density of water should be equal to density of ball. Let the ball radius be r.

  ​​​​​

diameter

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