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Consider a group of people trying to stay afloat after

Chapter 11, Problem 86

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QUESTION:

Problem 86PE

Consider a group of people trying to stay afloat after their boat strikes a log in a lake. Construct a problem in which you calculate the number of people that can cling to the log and keep their heads out of the water. Among the variables to be considered are the size and density of the log, and what is needed to keep a person’s head and arms above water without swimming or treading water.

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QUESTION:

Problem 86PE

Consider a group of people trying to stay afloat after their boat strikes a log in a lake. Construct a problem in which you calculate the number of people that can cling to the log and keep their heads out of the water. Among the variables to be considered are the size and density of the log, and what is needed to keep a person’s head and arms above water without swimming or treading water.

ANSWER:

Solution 86PE

The buoyant force applied by the water will be equal to the weight of the people’s submerged body and the weight of the log.

Step 1 of 4

Let there are people.

Average density of human body  kg/m3

Let the mass of each person be kg

Therefore, total weight of the people

Assume that 95% of each person’s body is submerged in water.

Therefore, the weight of the people submerged is

                                                                               

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