Increase because the raft must displace more water. Use the worked example above
ID: 1510523 • Letter: I
Question
Increase because the raft must displace more water. Use the worked example above to help you solve this problem. A raft is constructed of wood having a density of 6.00 times 10^2 kg/m^3. Its surface area is 5.69 m^2, and its volume is 0.71 m^3. When the raft is placed in fresh water as shown in the figure, to what depth h is the bottom of the raft submerged? m Calculate how much of an iceberg is beneath the surface of the ocean, given that the density of ice is 917 kg/m^3, and salt water has density 1,025 kg/m^3.Explanation / Answer
Buoyance force is balnce with weight of wood
F_B = mg
rho gV = mg
rho g ( A h) = mg
h = m/ rho A
= rho_wood V/ rho A
=600 kg/m^3 ( 0.71)/1000 ( 5.69)
=0.07 m
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rho_i Vi g = Vb rho_w g
rho_i/ rho _w = Vb/Vi
Vb/Vi = 917/1025
Vb /Vi= 0.8946
= 89.46 %