In order to float, how much water must ship displace?

[teggenspiller]

Homework Statement

A ship that has a mass 10 million kg must displace how much fresh water in order to float?

A. 10 million N
B. 9.8 million N
C. 98 million N
D. 980 million N
Wrong Points Earned: 0/1
Correct Answer: A
Your D

Homework Equations

p=f/a

density=rho
rho=mass/volume
rho(water)=1000kg/m^3 or 1g/cm^3

The Attempt at a Solution

to float the buoyant force must equal the weight of the boat?

so rho*V*g=m*g

rho=m/v

1000=10million/v
v=1000/10million


1000kg/m^3*(1000/10million)*9.8)=10million*9.8

??wait, where am i solving for?? there is no open variable that needs solving egh...

 

[SteamKing]

If the ship has a mass of 10 million kg and displaces the same amount (mass) of water, what is the weight of the water? Remember, weight = mass * g