Question #290365

shows a piece of block is 15 cm long, 7 cm wide and 3 cm thick is floating with one-third of its volume above the water level. Calculate the buoyant force exerted on the block.


1
Expert's answer
2022-01-24T12:02:24-0500

Given:

V=(15cm)×(7cm)×(3cm)=315  cm3V=\rm (15\:cm)\times(7\:cm)\times (3\:cm)=315\; cm^3

Vs=2/3V=210  cm3=2.1104m3V_s=2/3V=\rm 210\; cm^3=2.1*10^{-4}\:m^3

ρ=1000kg/m3\rho=\rm 1000\:kg/m^3


The buoyant force

Fb=gρVs=9.810002.1104=2.06NF_b=g\rho V_s=9.8*1000*2.1*10^{-4}=2.06\: \rm N


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