Answer to Question #153750 in Classical Mechanics for Hussain Darboe

Question #153750

A solid rectangular block measures 0.1m by 0.08m by 0.06m and floats freely in a liquid of density 13546kg/m3. If the depth of the liquid is 0.045m up to the block's largest side. Find the density of the block?


1
Expert's answer
2021-01-05T12:03:42-0500

mg=FAmg=F_A

ρVg=ρlVlg\rho Vg=\rho_l V_l g

ρV=ρlVl\rho V= \rho_l V_l

ρhS=ρlhlS\rho h S=\rho_l h_l S

ρh=ρlhl\rho h=\rho_l h_l

ρ=ρlhlh=135460.0450.1=6096 kgm3\rho=\rho_l \frac{h_l}{h}=13546\cdot \frac{0.045}{0.1}=6096 ~\frac{kg}{m^3}


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