How Newton derived his law of universal gravitation

This video considers how Newton came to the realization that the law of universal gravitation needed to be an inverse square law. This fits into mechanics lecture 16.

[alexanderherbertkurz]

Thank you so much for this. I'd like to find more videos like this which explain how physicists discovered stuff, based on what was known at their times.

[eriklokensgard]

Thanks for explaining the pieces of the puzzle that Newton used, like the shadow of the Earth on the moon during eclipses. Excellent video!

[adamfarrell]

thank you! its 3:08 am and my assignment is due first period tomorrow. you have saved me!

[infinityinfinitesimal]

This is what I was looking for since months.
Thank you a lot mam ❤️

[katalyststem]

@ 0:30 Henry Cavendish, in the late 18th century, conducted experiments using a torsion balance apparatus to measure the gravitational force between masses. His work allowed for the determination of the numerical value of the gravitational constant (G) and indirectly led to the determination of the acceleration due to gravity on Earth's surface (g).

[winstondearmas]

This is wonderful! May I ask how you learned that this was his process? I'd love to uncover a resource to get into HOW Newton thought and arrived at his conclusions!

[nikolaostsoulos]

Imagine being so gifted that you come up with all that while being bored in isolation

[Vermllon]

such a nice informations that you cant find anywhere else . Thank you .

[BakrBakr]

Beautiful
Thank you so much
Really enjoyed of this video
I like the way she explained things
Very educated and smart
Really impressed
Thank you
This is so useful for my research 👍

[uniqueone]

The things you Explained were Magnificent but I have a Doubt that how did Newton Measured the gravitational constant value

[rishabhrockstar]

I am literature graduate, but loved this one

[johnnym]

How do you know what m1 and m2 are? Surely you need F to determine that? Oops m1, m2 and F are in the same equation!

[maybeinactive]

can someone pls explain to me why the centerpital acceleration of the moon compared to acceleration of something falling next to the surface of the earth gives us the distance between them?

[richdobbs]

I'm sorry, this doesn't seem persuasive on about how he derived the law. It seems like a factoid that he used to confirm the law that he had derived by basic reasoning. Why is it linear in the mass of the first body, the second, and inversely proportional to the radius squared? Just having one confirmation of a relationship isn't particularly persuasive. It seems to me more likely that he derived the linearity in the masses by some basic thought experiments that I expected that you would provide! And the inverse radius squared relationship logically comes from the concept that each mass is radiating something that diminishes with the surface area as it propagates away from the center. He probably compared this idea with Kepler's law and decided it was compatible, so he was on the right track. The moon biz was just an argument he used once he had already derived the law, and was trying to convince others in a compact way.

[johnnym]

You got it wrong. g=9.81m/s/s not 9.8 go back to school!

[noracism]

Came after the three body problem series 😂😂😂