Question

a. What fraction of an iron anchor’s weight will be supported by buoyant force when submerged...

a. What fraction of an iron anchor’s weight will be supported by buoyant force when submerged in saltwater?

b. If the buoyant force is 20% of the weight of the anchor, what is the density of the fluid the ship is in?

Help on part b, please.

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Answer #1

b)
we know,

rho_Iron = 7874 kg/m^3

let V is the volume and m is the mass of the anchor.

let rho_fluid is the density of the fluid in which the ship is.

given buoyant force = 20% of the weight

B = 0.2*m*g

rho_fluid*V*g = 0.2*rho_Iron*V*g

rho_fluid = 0.2*rho_Iron

= 0.2*7874

= 1575 kg/m^3 (or) 1.575 g/cm^3 <<<<<<<------------Answer

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