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## Homework Statement

A small boat weighing 1000 N has a surface area of 3 m^2. It floats only 5 cm above the water level when in a fresh-water lake. How high out of the water will it ride in a salt-water lake? Assume the surface area of the boat does not change as it rises (salt water has a density of about 1.03 x 10^3 kg/m^3).

## Homework Equations

B = pVg

## The Attempt at a Solution

I can use the above equation to solve for the volume of the water displaced which will be the same as the volume of the boat. Unfortunately I am not sure were to go from there. I am not sure how to find the relationship between the height the boat rises in the water and it's volume. I also am not sure what to do with the information it gave me on the boats surface area.