A 63.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using...
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A 63.0-kg survivor of a cruise line disaster rests atop a blockof Styrofoam insulation, using it as a raft. The Styrofoam hasdimensions 2.00 m ✕ 2.00 m ✕ 0.0895 m. The bottom 0.023 m of theraft is submerged.
(a) Draw a force diagram of the system consisting of thesurvivor and raft.
(b) Write Newton's second law for the system in one dimension,using B for buoyancy, w for the weight of the survivor, and wr forthe weight of the raft. (Set a = 0. Solve for Fy, the y-componentof the net force. Let upward be the positive y-direction.)
(c) Calculate the numeric value for the buoyancy, B. (Seawaterhas density 1025 kg/m3. Enter answer to at least the onesdigit.)
(d) Using the value of B and the weight w of the survivor,calculate the weight wr of the Styrofoam.
(e) What is the density of the Styrofoam? (f) What is themaximum buoyant force, corresponding to the raft being submerged upto its top surface?
(g) What total mass of survivors can the raft support?
A 63.0-kg survivor of a cruise line disaster rests atop a blockof Styrofoam insulation, using it as a raft. The Styrofoam hasdimensions 2.00 m ✕ 2.00 m ✕ 0.0895 m. The bottom 0.023 m of theraft is submerged.
(a) Draw a force diagram of the system consisting of thesurvivor and raft.
(b) Write Newton's second law for the system in one dimension,using B for buoyancy, w for the weight of the survivor, and wr forthe weight of the raft. (Set a = 0. Solve for Fy, the y-componentof the net force. Let upward be the positive y-direction.)
(c) Calculate the numeric value for the buoyancy, B. (Seawaterhas density 1025 kg/m3. Enter answer to at least the onesdigit.)
(d) Using the value of B and the weight w of the survivor,calculate the weight wr of the Styrofoam.
(e) What is the density of the Styrofoam? (f) What is themaximum buoyant force, corresponding to the raft being submerged upto its top surface?
(g) What total mass of survivors can the raft support?
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