Question #297236

A body of volume 36cc floats with ¾ of its volume submerged in water. The density of body is



a) 0.25 g/cc



b) 0.75 g/cc



c) 0.9 g/cc



d) 0.1 g/cc


1
Expert's answer
2022-02-14T13:56:31-0500

Answer

body of volume V=36cc=36*10-6m

Submerged in water V'=27*10-6 m

Using the buoyancy force

FB=WρwVg=ρVgF_B=W\\\rho_wV'g=\rho Vg\\

So density of body

ρ=ρwVV=10002710636106=0.75g/cc\rho =\frac{\rho_w V'}{V}\\=\frac{1000*27*10^{-6}}{36 *10^{-6} }\\=0.75g/cc






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