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A cubical block of side 0.5 m floats on ...

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water?
[Take, density of water `= 10^(3) kg//m^(3)`]

Text Solution

Verified by Experts

When a body floats then the weight of the body
= upthrust
`:.(50)^(3)xx30/100xx(1)xxt=M_("cube")g`………I
Let m mass should be placed then
`(50)^(3)xx(1)xxg=(M_("cube")+m)g`………ii
Subtracing equation (i) from equation (ii) we get
`impliesmg=(50)^(3)xxg(1-0.3)=125xx0.7xx10^(3)g`
`impliesm=87.5kg`
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