Question #347155

5. A Ping-Pong ball has a diameter of 3.80 cm and average density



of 0.084 0 g/cm3. What force is required to hold it completely



submerged under water?

1
Expert's answer
2022-06-13T08:24:09-0400

Given:

ρ=0.0840g/cm3\rho=0.0840\:\rm g/cm^3

ρw=1.00g/cm3\rho_w=1.00\:\rm g/cm^3

R=1.90cmR=1.90\:\rm cm


F=Fbmg=gρwVmg=gV(ρwρ)F=F_b-mg=g\rho_w V-mg=gV(\rho_w-\rho)

F=9.8433.141.903(1.000.0840)11000=0.258NF=9.8*\frac{4}{3}*3.14*1.90^3*(1.00-0.0840)*\frac{1}{1000}\\ =0.258\:\rm N


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