Question

In: Physics

For an average human, the actual values of the densities of the fat and lean tissues...

For an average human, the actual values of the densities of the fat and lean tissues are ρf = 0.9 g/cm3, and ρl = 1.1 g/cm3 respectively (fat tissue =ρf and lean tissue =ρl). Given these values, are there limitations on the body fat percentage of a human that can be suspended in a body of water? Explain your thoughts and calculate the limits if any.

HINT:

  • What are the maximum and minimum possible densities of a human? Is it possible for objects with each of these densities to be suspended in (as opposed to floating on top of) water?

PLEASE PROVIDE AN EXPLANATION

Solutions

Expert Solution

For a human to be suspended in water, their density has to be exactly .

Let the fat tissue percentage be and let the lean tissue percentage by .

A percentage implies that it is out of every parts

Therefore, we can say that for every parts, parts are fat tissue and parts are lean tissue.

Therefore,

As mentioned previously, the average density of the hundred parts needs to be .

Therefore, we have

or

Now, we have two equations and two variables.

Solving these equations for ,

or

At a fifty percent fatty tissue, the body will float.


Related Solutions

In order to calculate lean and fat mass, you must multiply the body fat percentage by...
In order to calculate lean and fat mass, you must multiply the body fat percentage by which of the following?  Height  Age  Activity level modifier  Total body weight
Obesity and being overweight is caused by excessive adipose tissues, or body fat. Visceral fat, surrounding...
Obesity and being overweight is caused by excessive adipose tissues, or body fat. Visceral fat, surrounding internal organs, is clearly associated with heart disease and diabetes. Subcutaneous fat, found just below the skin, often in the buttocks and thighs, is not. A study examined the impact of exercise type on visceral and subcutaneous fat. Overweight, sedentary, but otherwise disease‑free adults were randomly assigned to three exercise regimens for eight months, aerobic training, resistance training, and aerobic plus resistance training. All...
Body fat and lean body mass can be estimated in living animals by measuring the total...
Body fat and lean body mass can be estimated in living animals by measuring the total body electrical conductivity (TOBEC). This technique is useful when attempting to determine if "diet drugs" are working on laboratory rats over time – the researchers need not sacrifice the animals to measure the amount of adipose body fat after periods of drug usage. However, the procedure requires that the animal be totally inside the measurement chamber, which is fairly small. Some, but not all...
What human tissues are affected by malaria? What are the main clinical manifestations of the disease?
What human tissues are affected by malaria? What are the main clinical manifestations of the disease?
What human tissues are affected by malaria? What are the main clinical manifestations of the disease?
What human tissues are affected by malaria? What are the main clinical manifestations of the disease?
Let μ1 and μ2 denote true average densities for two different types of brick. Assuming normality...
Let μ1 and μ2 denote true average densities for two different types of brick. Assuming normality of the two density distributions, test: H0: μ1 − μ2 = 0 versus Ha: μ1 − μ2 ≠ 0 Use the following data: n1 = 6, x1 = 24.71, s1 = 0.53, n2 = 5, x2 = 21.85, and s2 = 0.530. The conservative degrees of freedom, min(n1-1, n2-1), are: df = Use α = 0.05. Round your test statistic to three decimal places...
A sample human input file that contains test values that a human would enter on the...
A sample human input file that contains test values that a human would enter on the keyboard (covering both normal cases and boundary/error cases) My code is to search the puzzle, read human_input.txt and then search the word I have a problem with this line : while(fgets(humanchar, 1000, humanfile)), searchfirst(array,height,width,"happy"); is search well but searchfirst(array,height,width,humanchar); is nothing happen In addition, The input may contain upper and lower case characters, I try to convert it to lowercase, but i have a...
1- The average is a way to characterize a collection of values. When the values refer...
1- The average is a way to characterize a collection of values. When the values refer to a fixed item (for example the number of oranges per tree) and we want to find the average number of oranges, the _______________ mean is appropriate. 2- The ___________________________ mean is used when we want to preserve the effect on the mean of a percentage change in a value independent of the values magnitude. 3- The word size of the IAS  computer (remember one...
Some scientists believe that fructose is particularly bad for human health because it promote fat synthesis,...
Some scientists believe that fructose is particularly bad for human health because it promote fat synthesis, contributing to development of type II diabetes and fatty liver disease. You are a scientist working for a lab attempting to develop a drug to help with such diseases called fructono. The idea is that fructono could be added to the diet to reduce fructose absorption; even though fructono would be absorbed, it would not be metabolized, and would be excreted by the kidney....
The densities of several common metals are listed below. Compare your experimental density with the given values and try to determine which metal you tested.
1 The densities of several common metals are listed below. Compare your experimental density with the given values and try to determine which metal you tested.  What other properties could be used to help identify your metal?  2 Osmium metal, the densest element, has a density of 2.6 g/mL, while hydrogen, the least dense element, has a density of 8.99 times 10^-5 g/mL. Calculate volume occupied by 1.00 g of each element. How many times more dense is osmium than...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT