Homework Help: Physics

Posted by Jamie on Sunday, June 17, 2012 at 6:28pm.

A shipwrecked mariner is stranded on a desert island. He seals a plea for rescue in a 1.00 liter bottle, corks it up, and throws it into the sea. If the mass of the bottle, plus the message and the air inside, is 0.454 kg, what percentage of the volume of the bottle is submerged as it bobs away? Take the density of seawater to be 1030 kg/m3. For simplicity, assume the bottle and its contents have a uniform density.

Physics - Henry, Monday, June 18, 2012 at 5:11pm
Convert density of bottle and water to
the same units.

Db = 0.454kg/Liter
Db = 0.454kg/1000cm^3
Db = 454.*10^-6kg / cm^3. = Density of bottle.
Vb = 1 Liter = 1000 cm^3. = Vol. of bottle.

Dw = 1030kg/m^3
Dw = 1030kg/10^6cm^3
Dw = 1030*10^-6kg/cm^3. = Density of the water.

Vs = (Db/Dw)* Vb
Vs=(454*10^-6/1030*10^*1000cm^3=441cm^3
Vol. submerged.

%Vs=(Vs/Vb)*100%=(441/1000)*100%=44.1%.

Answer this Question

Related Questions

English - I looked up the synonyms in the thesaurus. Can you please check if ...
English - Thank you very much for your last corrections. Can you please examine ...
people - Many years ago, a cruise liner sank in the middle of the Pacific Ocean...
MATH - Many years ago, a cruise liner sank in the middle of the Pacific Ocean. ...
MaTh WoRd PrObLeM - Many years ago, a cruise liner sank in the middle of the ...
Physics - A rescue plane has to drop supplies to a group of castaways who are ...
English - Can you check the following sentences for me, please? Can you please ...
physics - A ship, carrying freshwater to a desert island in the Caribbean, has a...
English - You forgot to check these other sentences. I really hope you can go ...
Physics - An Alaskan rescue plane traveling 36 m/s drops a package of emergency ...

For Further Reading

First Name:
School Subject:
Answer: