Two shipwreck survivors put to sea in the raft which they have made from wooden beams. The length of the raft is 4 m, the width is 3 m, the height is 30 cm (see the figure). The density of the wood, which the raft is made of, is 600 kg/m3. The two survivors and all of their supplies (not including the raft) have 210 kg of mass. a) Find the weight of the raft using density relationships b) Find the maximum buoyant force the ocean (ρocean water = 1023.6 kg/m3) can provide upon the raft. c) Show if the raft will float or sink. If the raft will float, how many cm above water is the raft? If the raft will sink, how many cm of raft would be needed before it floated?

University Physics Volume 1
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Chapter14: Fluid Mechanics
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Problem 109AP: Bird bones have air pockets to reduce their weight—this also gives them an average density...
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Two shipwreck survivors put to sea in the raft which they have made from wooden beams. The length of the raft
is 4 m, the width is 3 m, the height is 30 cm (see the figure). The density of the wood, which the raft is made
of, is 600 kg/m3. The two survivors and all of their supplies (not including the raft) have 210 kg of mass.


a) Find the weight of the raft using density relationships


b) Find the maximum buoyant force the ocean (ρocean water = 1023.6 kg/m3) can provide upon the raft.


c) Show if the raft will float or sink. If the raft will float, how many cm above water is the raft? If the raft will sink, how many cm of raft would be needed before it floated?


d) How would your answer change for parts b and c if the survivors were stuck in a freshwater lake?

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d) How would your answer change for parts b and c if the survivors were stuck in a freshwater lake?

 

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