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37b
Problem

Problem 37b

Page 287

Section: Problems

Chapter 10: Fluids

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26 Dec 2021

Given information

The weight of the athlete on a dry land is .

The apparent weight of the athlete from a scale is .

The residual volume is .

Step-by-step explanation

Step 1.

When an object is fully or partially in a fluid it exerts an upward thrust on the object which opposes the weight of the object. This force is called buoyant force.

The formula to calculate the buoyant force on the athlete is

   

Here, is the buoyant force, is the density of water, is the volume and is the acceleration due to gravity.

The actual weight of the athlete is

   

Here, is the actual weight and is the actual mass.

The apparent weight of the athlete due to the scale is

    

Here, is the actual weight and is the apparent mass.

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