A 61.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m ✕ 2.00 m ✕ 0.0870 m. The bottom 0.022 m of the raft is submerged. A. Write Newton's second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0. Solve for Fy, the y-component of the net force. Let upward be the positive y-direction.) Fy = ( ) = 0 B. Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m3. Enter the answer to at least the ones digit.) C. Using the value of B and the weight w of the survivor, calculate the weight wr of the Styrofoam. D. What is the density of the Styrofoam? E. What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? F. What total mass of survivors can the raft support?
A 61.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m ✕ 2.00 m ✕ 0.0870 m. The bottom 0.022 m of the raft is submerged.
A. Write Newton's second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0. Solve for Fy, the y-component of the net force. Let upward be the positive y-direction.)
Fy = ( ) = 0
B. Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m3. Enter the answer to at least the ones digit.)
C. Using the value of B and the weight w of the survivor, calculate the weight wr of the Styrofoam.
D. What is the density of the Styrofoam?
E. What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface?
F. What total mass of survivors can the raft support?
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