A 64.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using...

 

Transcribed Image Text:

A 64.0-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 0.0815 m. The bottom 0.025 m of the raft is submerged (a) Draw a force diagram of the system consisting of the survivor 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 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 (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m³. Enter answer to at least the ones digit.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. N (e) What is the density of the Styrofoam? kg/m³ (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? N (g) What total mass of survivors can the raft support? kg A 64.0-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 0.0815 m. The bottom 0.025 m of the raft is submerged (a) Draw a force diagram of the system consisting of the survivor 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 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 (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m³. Enter answer to at least the ones digit.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. N (e) What is the density of the Styrofoam? kg/m³ (f) What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? N (g) What total mass of survivors can the raft support? kg