physics

A small rectangular ferry boat is 3.33 m wide
and 5.64 m long. When a loaded truck pulls
onto it, the boat sinks an additional 3.25 cm
into the river.
What is the weight of the truck? The acceleration of gravity is 9.8 m/s2 .
Answer in units of kN.

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  1. density of water = 1000 kg/m^3
    if .0325 m = additional depth immersed
    buoyancy volume added = 3.33*5.64*.0325
    mass of water displaced = 3.33*5.64*32.5 kg
    weigh of water displaced = m g
    = 3.33*5.64*32.5*9.8 Newtons
    = 5981 N
    =5.981 kN

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