A small rectangular ferry boat is 3.87 m wide and 5.81 m long. When a loaded truck pulls onto it, the boat sink an additional 4.31 cm into the river.
What is the weight of the truck? The acceleration of gravity is 9.8 m/s^2.
Answer in units of kN.
I took this in 1955 and do not need practice. If you get stuck I will help but I will not do all the problems for you.
By the way in Naval Architecture we have a term called "tons per inch" for small changes in draft.
It proportional to
rho g * area of water line plane
additional force up = rho * g * waterline area * distance we went down in the water
Archimedes ( a Sicilian who Greeks consider Greek) suggested the approach.