What is the acceleration due to gravity of objects allowed to fall freely on top of Mt. Everest?

Question

Given the radius of Mt.Everest from the earth's core is 8448 m.

That is:
r = 8448 m

Since:
Fg = G (m1 x m2) / r x r
(where G is the gravity constant 6.67e-11)

This g is equivalent to mass times acceleration isn't it? (F=ma or F=mg)

So that gives me a force in the unit of Newtons.

But then, how do I get the acceleration of that obeject per se (at least even estimate it?)

Please and thank you!

Answer 1

You're a bit mistaken.

Fg is the Force of Gravity in Newtons. g is the acceleration due to gravity, or the a in F=ma.

Now, since a = g, we can write the equation thus:

mg = G(m1 x m2)/r ^ 2 (That's squared.)

What is m? It is either m1 or m2. Let's assume m1 is the earth, then m2 is the far smaller object that earth is attracting. Hence:

m2g = G(m1 x m2)/r ^ 2

Which reduces to:

g = G(m1)/r^2

I'll let you do the math.

If you wanted to know the (puny) acceleration your object has on the Earth.

g = G(m2)/r^2

Unless of course the thing you dropped from everest was thrown at the speed of light instead. Things get a lot weirder when relativity becomes a factor.

Answer 2

As height increases g value reduces.
There is a formula for this

g' = g ( 1 - 2h/R)

where :
g' = Acceleration due to gravity at the particular altitude
g = Acceleration due to gravity at sea level (9.8 m/s^2)
h = Height above the sea level
R = Radius of the earth

What you say is Gravitational constant which is constant throughout the whole universe!
But earth's acceleration due to gravity will become smallerand smaller and finally become zero beyond a limit.

Answer 3

um, i may be reading this wrong, or maybe it's written wrong but there is no calculation involved in calculating acceleration due to gravity - it's 9.8 m/s/s. The formula you are using is to calculate the force between two objects due to gravity, and that isn't what the question asks. You would also need to know how much the object weighs.

Good luck but I think it's a simple answer of 9.8 m/s/s

Answer 4

Gravitation is a phenomenon through which all objects attract each other. Modern physics describes gravitation using the general theory of relativity, but the much simpler Newton's law of universal gravitation provides an excellent approximation in many cases.

Gravitation is the reason for the very existence of the Earth, the Sun, and other celestial bodies; without it, matter would not have coalesced into these bodies and life as we know it would not exist. Gravitation is also responsible for keeping the Earth and the other planets in their orbits around the Sun, the Moon in its orbit around the Earth, for the formation of tides, and for various other natural phenomena that we observe.

Answer 5

Terminal velocity of a given object is usually given as 120 miles per hour in free fall.