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Some fish have a density slightly less than that of water

Chapter 11, Problem 44

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QUESTION:

Problem 44PE

Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85.0-kg grouper exert to stay submerged in salt water if its body density is 1015 kg/m3 ?

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QUESTION:

Problem 44PE

Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force must an 85.0-kg grouper exert to stay submerged in salt water if its body density is 1015 kg/m3 ?

ANSWER:

Solution 44PE

The grouper will experience a buoyant force due to water. If the weight of the grouper is greater than the buoyant force it will sink. Therefore, the buoyant force will be greater than the weight. The force exerted by the grouper will be .

Step 1 of 4

Given data:

The mass of the grouper kg

The density of a fish kg/m3

The volume of the grouper

                                            m3

                                           m3

Therefore, the grouper would displace 0.084 m3 volume of water.

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