Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

What is the total mass of all the people on earth? It is impossible, of course,

ID: 1405655 • Letter: W

Question


What is the total mass of all the people on earth? It is impossible, of course, to give an accurate answer to this question. However, it is quite possible to find the order of magnitude of the answer. All one needs to do is to use some common sense and, possibly, search for relevant reference information. The calculation can proceed as follows There are about 6 x 10 people on earth. An average adult male weighs, say, 75 kg: an average adult female weighs about 60 kg, and an average child will weigh considerably less than 60 kg. Figuring roughly one child per adult, we can reasonably say that an average person's mass s about 50 kg, which gives the total mass of all humans on our planet as 6×109 x 50 = 3 x 1011 kg. Of course, we may be off in our estimates of the average mass or number of people. Although it would be unreasonable to say that we know the total mass is 3.0 x 10" kg, we can be reasonably sure that we have the correct order of magnitude; that is, we have the correct exponent to which the number 10 is raised. In each of the following problems, you will be asked to make similar estimates. Part A many times can such a chain be wrapped around the If the entire population of the United States forms a human chain by holding hands, how earth's equator?

Explanation / Answer

as here it is asking for an estimate,

lets assume that a person with stretched hand measures approx. 1.5 m.

as there are 6*10^9 people all over the world, net length=6*10^9*1.5=9*10^9 m

length of equator of earth=40075 km=4.0075*10^7 m

hence it can wrap over equator (9*10^9/(4.0075*10^7)=224.57 ) or approximately 225 times.

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote