College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

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 × 2.00 m × 0.090 0 m. The bottom 0.024 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.) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1 025 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)

To determine
The force diagram of the system consisting of the survivor and raft.

Explanation

The following figure shows the force diagram of the system consisting of the survivor and raft...

(b)

To determine
Newton’s second law for the system in one dimension.

(c)

To determine
The numeric value of the buoyancy.

(d)

To determine
The weight of the Styrofoam.

(e)

To determine
The density of Styrofoam.

(f)

To determine
The maximum buoyant force, corresponding to the raft being submerged up to its top surface.

(g)

To determine
The total mass of the survivor, raft can support.

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