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)`]

Options

A. 87.5 kg
B. 30.1 kg
C. 46.3 kg
D. 65.4 kg

Answer

A

Explanation

`a^(3)rho_(b)g=0.3xxa^(3)xxrho_(omega)g" "...(i)`
`a^(3)rho_(b)g+mg=a^(3)xxrho_(omega)g" "...(ii)`
`Rightarrowm=rho_(omega)xx0.7xxa^(3)=10^(3)xx00875=87.5kg`