Some fish have a density slightly less than that of water and must exert a force (swim) to stay submerged. What force (in N) must an 89.0 kg grouper exert to stay submerged in salt water if its body density is 1013 kg/m3

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Answer 1

The grouper must exert a force of 872.5 N to stay submerged in salt water.

To stay submerged in a fluid, an object must experience an upward force equal to the weight of the fluid it displaces. This is known as the buoyant force. The magnitude of the buoyant force can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

In this case, the grouper's body density is given as 1013 kg/m³. Since its body density is slightly less than that of water, it will experience an upward buoyant force when submerged. The weight of the fluid displaced by the grouper can be calculated as the product of its volume and the density of the fluid. The volume of the grouper can be calculated as its mass divided by its density.

Given that the mass of the grouper is 89.0 kg and the density of salt water is approximately 1027 kg/m³, we can calculate the volume of the grouper as 89.0 kg / 1013 kg/m³ = 0.0879 m³.

The weight of the fluid displaced by the grouper is then (0.0879 m³) * (1027 kg/m³) * (9.8 m/s²) = 872.5 N.

Therefore, the grouper must exert a force of 872.5 N to stay submerged in salt water.

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Related Questions

_____________ give the researcher the ability to indicate whether findings from a sample exist in the population from which the sample was drawn. Descriptive statistics Inferential statistics Systematic errors Measures of central tendency

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Inferential statistics give the researcher the ability to indicate whether findings from a sample exist in the population from which the sample was drawn.

However, descriptive statistics, which include measures of central tendency such as mean, median, and mode and measures of variability such as standard deviation, range, summarize and describe the key characteristics of the sample or population.

However, based on the sample data, inferential statistics are used to draw conclusions or make inferences about the population. These statistical techniques use estimation techniques, confidence intervals, and hypothesis testing to assess the likelihood that the results are representative of the entire population. Researchers can extrapolate their results and make broader statements using inferential statistics than they could with a more focused study sample.

As a result, inferential statistics are essential to research because they offer a framework for drawing conclusions about the population from sample data.

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a standard that judges a performance in relation to the performance of other members of a well defined group is:

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The standard that judges a performance in relation to the performance of other members of a well-defined group is known as a norm-referenced standard. Option A.

This standard compares an individual's performance to the average or distribution of performances within a specific group. The purpose is to determine how an individual's performance ranks or stands in comparison to others in the same group. Norm-referenced standards are commonly used in educational assessments, competitive sports, and employment evaluations. They provide a relative measure of performance and can help identify high achievers or those who may need additional support or improvement.

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Full Question ;

The standard that judges a performance in relation to the performance of other members of a well-defined group is:

A. Norm-referenced standard

B. Criterion-referenced standard

C. Subjective standard

D. Objective standard

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