The weight of the truck that cause the ferry sinks an additional 3.8 cm is equal to the weight of the displaced water, that is 9120 N
According to the Archimedes Principle, the buoyant force is equal to the weight of the water displaced by the boat.
Using the formula:
F = ρ . g. V
Where:
F = buoyant force
ρ = mass density of the fluid
g = acceleration due to gravity
V = volume of the displaced water
Assume that the mass density of water is 1000 kg/m³. Hence,
F = 1000 . 10. (4 x 6 x 0.038) = 9120 N
The truck's weight is equal to the weight of displaced water, hence it is 9120 N
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