A raft with the area A , thickness= h and the mass 600 kg, Floats in still water with 7 cm
under the water surface. When Bubba stands on the raft it sinks down further in the water so
the raft is 8.4 cm under the water surface. What is Bubba's mass?

Question

A raft with the area A , thickness= h and the mass 600 kg, Floats in still water with 7 cm
under the water surface. When Bubba stands on the raft it sinks down further in the water so
the raft is 8.4 cm under the water surface. What is Bubba's mass?

irishboy123 · Answer

Archimedes principle: a floating body displaces its own "mass" of fluid in which it floats.

a 600kg boat displaces A • 7cm • ø of water (using "ø" for density of water).  bubba added to boat displaces a further A • 1.4cm • ø (g) of water.  

i am not sure why you quote the thickness (of what?) of the boat, but this suggests that  Bubba has 0.2 of the boat's mass - and needs to stop eating at McDonalds all the time.

anonymous · Answer

thank you @IrishBoy123