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Anonymous No. 16469998

If the earth weighs 81 times what the moon weighs why is the moon’s gravity 1/6th of earth’s gravity instead of 1/81?

Anonymous No. 16470027

>>16469998
The force of gravity is a function of mass divided by the radius squared.

Anonymous No. 16470084

>>16469998
Earth's radius is 3x that of the Moon (actually a bit more). Gravity from a spherical object is inversely proportional to square of distance from centre of mass, so this means Earth's gravity is 9x weaker (actually even a bit weaker) than it would be if Earth was as small as the Moon but had the same mass. This would mean that the Moon would have 1/9 the surface gravity of Earth, but remember that the radius ratio is actually even more than 3:1 since the Moon is denser I guess so that's where you get the 1/6.

Anonymous No. 16470094

>>16469998
this is high school level physics

Anonymous No. 16470104

>>16470094
Was never taught this in high school and I didn’t know the earth weighed so much compared to the moon until recently you snarky faggot. Figured it would be around 1/6 it’s weight.

Anonymous No. 16470194

>>16470104
According to Nutun it's
F= G m M / R^2
Now you are the small mass 'm'. Yes I know you are fat but you are still small compared to big M. So at a distance R from big M you will accelerate
a = F / m
a = G M / R^2

The moon's R is about 0.27 that of Earth's and similarly the M's about 0.012.

Now let's examine your claims.
You say the earth weighs 81 times as much as the moon.
Weight as we know is force. On Earth's surface, the moon would weigh 0.012a.

Now consider the following: ...
..
...the moon is not on Earth's surface!

* *Wow!* sound effect plays*

Anonymous No. 16470258

>>16470194
First two guys explained it better. Also it’s hilarious to see a redditard of all people making fat jokes.

Anonymous No. 16470313

>>16470084
Does the radius of the planet have anything to do or just mass? Is there really observed examples of very small very massive objects having large gravity effects for their size (but apropos for their mass, as is thought and expected, just wondering if there is verified evidence)

Anonymous No. 16470317

>>16470313
>Does the radius of the planet have anything to do or just mass?
Both, same mass but higher density (so smaller diameter) will lead to a higher local gravitational potential

Anonymous No. 16470464

>>16469998
the moon is hollow so all the mass is concentrated in a thin shell, this focuses the gravity

Anonymous No. 16470542

>>16469998
if the distance from the center of the body is the kept the same then the gravity of the earth is 81 times that of the moon's.

Anonymous No. 16470544

>>16470258
t. obese first two guys

Anonymous No. 16470560

>>16469998
Shouldn't it be 64x? Since it's 4x the diameter of the Moon

Anonymous No. 16470569

>>16470560
Earth is a lot denser than the moon.

Anonymous No. 16470570

>>16470027
Nope, the force of gravity is given by a system of second order pdes

Anonymous No. 16470691

>>16470313
Compare Io and Europa.

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Anonymous No. 16470843

>>16470544
Cope

Anonymous No. 16470985

>>16469998
The surface of the Earth is further from the center of Earth’s mass. The effect of gravity weakens over distance

Anonymous No. 16471736

>>16470084
Is it correct to say the pressure at the center of the earth is the highest, but due to cancelling gravitational force from the surrounding mass its weightless, and that is how a solid inner core can spin/float in a molten outer core?

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Anonymous No. 16471742

>>16470570
I hate pedantic retards like you.

Anonymous No. 16471795

>>16471742
If I wanted to be pedantic I'd bring up that a planet doesn't "weigh" anything in isolation