MadSci Network: Physics
Query:

Subject: What is the height of bottom of ball submerged below water surface

Date: Sat Nov 12 20:26:26 2005
Posted by Azhan
Grade level: undergrad School: University Malaya
City: Kuala Lumpur State/Province: No state entered. Country: Malaysia
Area of science: Physics
ID: 1131852386.Ph
Message:

I have a ping pong ball of size 38 mm (r, radius = 19mm) and 2.5g weight (m, 
weight = 0.0025 kg). I put the ball on water (rho=10^-6 kg/mm3) to let it float 
and I want to know h which is the height of bottom of ball submerged below 
water surface. I know that V is the partial volume of ball for part which 
submerged below water that is V= (pi)h^2(r-0.3333h).

Could I assume that, (m divide V) = rho ?

If yes, means that r.h^2 - 0.3333.h^3 = m / (pi . rho) which solve h equals 6.9 
mm.

Or, Could I assume that, (m divide A) = (h times rho) ? 

If yes, means that h^2 = m / (2 (pi) r (rho)) which solve h equals 4.6 mm. 
Where A is the surface area of ball submerged below water by taking A=2(pi)rh.



Re: What is the height of bottom of ball submerged below water surface

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