A 62.0-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 x 2.00 m x 0.0900 m. The bottom 0.024 m of the raft is submerged. (a) Draw the illustration of the survivor and the raft (force diagram of the system consisting of the survivor and the raft). (b) Write the Newton's 2nd law equation for the system in one dimension, using B for buoyancy, w for the weight of the survivor and w, for the weight of the raft. (Set a = 0) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m³) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?

A 62.0-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 x 2.00 m x 0.0900 m. The bottom 0.024 m of the raft is submerged. (a) Draw the illustration of the survivor and the raft (force diagram of the system consisting of the survivor and the raft). (b) Write the Newton's 2nd law equation for the system in one dimension, using B for buoyancy, w for the weight of the survivor and w, for the weight of the raft. (Set a = 0) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m³) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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