66 951
Assignments Done
99,1%
Successfully Done
In October 2018

Answer to Question #1397 in Mechanics | Relativity for Mike

Question #1397
A 4.9 kg rectangular air mattress is 2.7 m
long, 1.16 m wide, and 0.183 m thick.
What mass can it support in water before
sinking?
Answer in units of kg.
Expert's answer
The object seems to be sunk when all its volume is under the water surface.
The volume of the matress is V = 2.7*1.16*0.183 = 0.573 m3.
Fa = ρ*g*V ;
Archimedes force should be equal to the weight of the mattres with water:
ρ*g*V = mg+Mg
m = ρV - M = 1000 kg/m3 * 0.573 - 4.9 = 568.1 kg

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions