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Anonymous Thu 22 Oct 09:12:34 2020 No.12259513 View Reply Original Report

Quoted By: >>12259595 >>12259599 >>12259648 >>12259652 >>12259731 >>12260171 >>12261298

>galileo drops two objects of different masses off leaning tower of pisa
>they hit the ground at the same time therefore weight has nothing to do with how fast an object falls
Can someone explain this to me? Intuitively, gravity will have a greater effect on a heavier object, so why arent heavier objects pulled to the ground more quickly? In a vacuum wouldnt two objects with large masses collide much more quickly than objects with small masses due to having stronger gravitational fields?

Anonymous

Anonymous Thu 22 Oct 2020 10:00:34 No.12259595 Report

Quoted By:

>>12259513
Drop three identical objects, they will hit the ground at the same time.

Glue two of them together and repeat the experiment. You now have two objects, one is two times heavier than the other. Should it fall faster?

Anonymous

Anonymous Thu 22 Oct 2020 10:03:54 No.12259599 Report

Quoted By: >>12259602

>>12259513
Let's say you have two objects in a vacuum with no other forces than the graviational force. The location of the centers of masses are $x_1 , x_2$ and their masses are $m_1, m_2$
Newton's law of graviation implies that
$m_1 \ddot x_1 = -G \frac{m_1 m_2}{|x_1 - x_2|^3} (x_1 - x_2) \\<br />\ddot m_2 \ddot x_2 = -G \frac{m_1 m_2}{|x_1 - x_2|^3} (x_2 - x_1)$
So by taking the difference you get
$|\ddot x_1 - \ddot x_2| = G \frac{m_2 + m_1}{|x_1 - x_2|^2}$
So, yes two objects with large masses collide faster.
The issue with the situation at the tower of pisa is that the masses of the objects you drop are so much smaller than the mass of the earth that any difference in fall speed is too small to measure.

Anonymous

Anonymous Thu 22 Oct 2020 10:06:28 No.12259602 Report

Quoted By: >>12259605

>>12259599
>two objects with large masses collide faster
bruh

Anonymous

Anonymous Thu 22 Oct 2020 10:08:38 No.12259605 Report

Quoted By: >>12259628

>>12259602
Stuff falls slower on the moon than it does on earth. Have you never seen any videos from the moon landing?

Anonymous

Anonymous Thu 22 Oct 2020 10:21:12 No.12259628 Report

Quoted By:

>>12259605
>moon landing
Never happened

Anonymous

Anonymous Thu 22 Oct 2020 10:33:36 No.12259648 Report

Quoted By:

>>12259513
Should two cannonballs glued to each other fall faster than one cannonball?

Anonymous

Anonymous Thu 22 Oct 2020 10:35:43 No.12259652 Report

Quoted By:

>>12259513
because they don't

Anonymous

Anonymous Thu 22 Oct 2020 11:18:56 No.12259731 Report

Quoted By:

>>12259513
>Intuitively, gravity will have a greater effect on a heavier object, so why arent heavier objects pulled to the ground more quickly?
Intuitively, heavier objects are harder to get moving so it cancels out.

Anonymous

Anonymous Thu 22 Oct 2020 15:02:53 No.12260171 Report

Quoted By: >>12261139

>>12259513
Mass is proportional to gravity, but it is also proportional to inertia, so it cancels out

Anonymous

Anonymous Thu 22 Oct 2020 19:35:38 No.12261139 Report

Quoted By:

>>12260171
So are you saying that two identical grains of sand in a vacuum will collide at the same speed as two identical planets given that they were the same distance apart in both scenarios? And if i'm following correctly that also means a grain of sand falls to the surface of one of those planets at the same speed another identical planet would? Wow thanks very much for helping me understand

Anonymous

Anonymous Thu 22 Oct 2020 20:07:21 No.12261242 Report

Quoted By:

Weight is equal to mg with m the mass and g gravitationnal acceleration on earth (or Moon or other planète whatever) and considering the planet doesn't move we have by newton's Law:
mg=ma so the acceleration is a=g and doesn't depend on object's mass

Anonymous

Anonymous Thu 22 Oct 2020 20:32:05 No.12261298 Report

Quoted By: >>12264457

>>12259513
brainlet here, how hasn't mercury been absorbed by the sun if everything attracts

Anonymous

Anonymous Thu 22 Oct 2020 22:35:49 No.12261723 Report

Quoted By:

$a = \frac{F}{m}$
$F_{gravity} = G \frac{m_1 m_2}{r^2}$

meaning that

$a_{1} = \frac{G \frac{m_1 m_2}{r^2}}{m_1}$
$a_{1} = G \frac{m_2}{r^2}$

The acceleration of object 1 depends on the distance between the two objects and the mass of the OTHER object. This is why stuff falls slower on the moon and two objects in a vacuum with large masses collide faster.

Anonymous

Anonymous Fri 23 Oct 2020 16:51:32 No.12264457 Report

Quoted By:

>>12261298
It will be eventually.

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