Bouyency and Water Discplacement of 2 Fluids

[vMaster0fPuppet]

Homework Statement

A boat floating in fresh water displaces water weighing 37.3 kN. What is the difference between the volume of fresh water displaced and the volume of salt water displaced (Vfresh - Vsalt)?

F(bu) = 37.3E3 kg/m^3
(rho)fresh water = .998E3 kg/m^3?
(rho)salt water = 1.10E3 kg/m^3?

Homework Equations

F(bu) = m(of water displaced)g
m(of water displaced) = (rho)V

The Attempt at a Solution

F(bu) = (rho)Vg
V = F(bu)/[(rho)g]
V(f) - V(s) = [F(bu)/(rho)][1/(rhof)-1/(rhos)]
V(f) - V(s) = [37.3E3/9.8][1/(.998E3) - 1/(1.10E3)] = .354m^3

This is wrong?

 

[stewartcs]

Homework Statement

A boat floating in fresh water displaces water weighing 37.3 kN. What is the difference between the volume of fresh water displaced and the volume of salt water displaced (Vfresh - Vsalt)?

F(bu) = 37.3E3 kg/m^3
(rho)fresh water = .998E3 kg/m^3?
(rho)salt water = 1.10E3 kg/m^3?

Homework Equations

F(bu) = m(of water displaced)g
m(of water displaced) = (rho)V

The Attempt at a Solution

F(bu) = (rho)Vg
V = F(bu)/[(rho)g]
V(f) - V(s) = [F(bu)/(rho)][1/(rhof)-1/(rhos)]
V(f) - V(s) = [37.3E3/9.8][1/(.998E3) - 1/(1.10E3)] = .354m^3

This is wrong?

Looks correct to me.

CS

 

[vMaster0fPuppet]

me too