Question

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 **?**
0.0830 m. The bottom 0.026 m of the raft is submerged.

(a) Draw a force diagram of the system consisting of the survivor and raft. (Submit a file with a maximum size of 1 MB.)

This answer has not been graded yet.

(b) Write Newton's second law for the system in one dimension,
using *B* for buoyancy, *w* for the weight of the
survivor, and *w*_{r} for the weight of the
raft. (Set *a* = 0. Solve for
*F*_{y}, the *y*-component of the
net force. Let upward be the positive *y*-direction.)

*F _{y}* = = 0

(c) Calculate the numeric value for the buoyancy,

N

(d) Using the value of

N

(e) What is the density of the Styrofoam?

kg/m

(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

Answer #1

A 60.0-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 ✕ 0.0895 m. The bottom 0.021 m of the
raft is submerged.
(a) Draw a force diagram of the system consisting of the
survivor and raft. (Submit a file with a maximum size of 1 MB.)
(b) Write Newton's second law for the system in one dimension,
using B for buoyancy,...

A 63.0-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 ? 0.0820 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. (Submit a file with a maximum size of 1 MB.)
This answer has not been graded yet.
(b) Write Newton's second law for the system...

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