posted by ryan on .
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.
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