Solved

what force of gravity do I exert on the Earth

Posted on 2012-04-04
5
455 Views
Last Modified: 2012-04-14
Hello

According to Newton's Universal law of gravitation then you can calculate the force of gravity between 2 objects and the distance between them.

So it follows from this (and the 3rd law) that if the Earth pulls on me by 600N then I pull on the Earth by 600N. Correct?

And presumably i move to the Earth because i am less massive and have far less inertia than the Earth?

How does w = mg relate to the formula Fgrav = GM(1)M(2)/d^2
Can you derive the acceleration due to gravity g from these formula?

thanks
0
Comment
Question by:andieje
5 Comments
 
LVL 43

Assisted Solution

by:Saqib Husain, Syed
Saqib Husain, Syed earned 167 total points
ID: 37807070
Since mass of the earth is constant and distance from the centre of the earth is "practically" constant G, M1 and d2 are constant and together constitute g and this g is multiplied with M2

so mg
0
 
LVL 27

Assisted Solution

by:d-glitch
d-glitch earned 166 total points
ID: 37807088
F = mg   is a special case of     F =  G*M1*M2/r²    

 If you are  m and M1,   then   g = G*M2/r²      where M2 and d are the mass and radius of the earth.
0
 
LVL 73

Expert Comment

by:sdstuber
ID: 37807099
gravity is a force between 2 objects.  The force is determined by both objects not just one.
So, there is only the one gravitational attraction between you and the earth,  not the earth's pull and your pull.

We commonly call the measure of gravitational force  "weight"

So,  if you weigh 100lbs  it's because you and the earth are pulling each other together with 100lbs of force.


w = mg  

 is

your weight = your mass times the acceleration due to gravity

thus, if you know your weight (600N)  and you know your mass, you can calculate the accelration
0
 
LVL 27

Accepted Solution

by:
aburr earned 167 total points
ID: 37807208
"So it follows from this (and the 3rd law) that if the Earth pulls on me by 600N then I pull on the Earth by 600N. Correct?"
correct     (you are obviously not overweight)

"And presumably i move to the Earth because i am less massive and have far less inertia than the Earth?"
correct

Consider the gravitational force two lead balls. Obviously by your reasoning the force on each has the same magnitude (the masses do not have to be the same.)
Now consider you and the earth (hen you are 1 cm above a floor.) This system is the same as the two lead balls.
Of course you will not stay 1 cm above the floor but you will soon drop to the floor whereupon the floor will exert a force on you which just cancels the gravitational force, so that you are now at rest.
--
--
as an interesting sidelight, it was reported (probably unreliably) that the US government did a study to see that if the Chinese got all their population to run west off a table at the same time would they affect the rotation of the earth.
0
 
LVL 10

Expert Comment

by:abbright
ID: 37807942
The gravitational force between you and the earth is the same -- it is just one force pulling two masses together.
The amount of the acceleration that results from this force depends additional on the masses of the two objects. So yes, you accelerate the earth to you as well, but this acceleration is so small (a=F/m) as the mass of the earth is so huge that it might not even be measurable.
0

Featured Post

Why You Should Analyze Threat Actor TTPs

After years of analyzing threat actor behavior, it’s become clear that at any given time there are specific tactics, techniques, and procedures (TTPs) that are particularly prevalent. By analyzing and understanding these TTPs, you can dramatically enhance your security program.

Join & Write a Comment

Suggested Solutions

Introduction On a scale of 1 to 10, how would you rate our Product? Many of us have answered that question time and time again. But only a few of us have had the pleasure of receiving a stack of the filled out surveys and being asked to do somethi…
Complex Numbers are funny things.  Many people have a basic understanding of them, some a more advanced.  The confusion usually arises when that pesky i (or j for Electrical Engineers) appears and understanding the meaning of a square root of a nega…
Here's a very brief overview of the methods PRTG Network Monitor (https://www.paessler.com/prtg) offers for monitoring bandwidth, to help you decide which methods you´d like to investigate in more detail.  The methods are covered in more detail in o…
This demo shows you how to set up the containerized NetScaler CPX with NetScaler Management and Analytics System in a non-routable Mesos/Marathon environment for use with Micro-Services applications.

762 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question

Need Help in Real-Time?

Connect with top rated Experts

24 Experts available now in Live!

Get 1:1 Help Now