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Author Question: How was Newton able to calculate the period of revolution of the Moon using his gravitation theory, ... (Read 72 times)

pane00

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on: Jul 27, 2018
How was Newton able to calculate the period of revolution of the Moon using his gravitation theory, even though he didn't know the value of G or the masses of the Earth and Moon?
 
  What will be an ideal response?

Question 2

Which of the following has the greatest number of significant figures?
 
  A) 03.1400
  B) 314.1
  C) 3.142
  D) 000.3140
  E) 0.003142


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14vl19

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Reply #1 on: Jul 27, 2018
Answer to Question 1

From GmM/r2 = mv2 / r where m,M are lunar and Earth masses and r distance from Earth to Moon; he got period T = 2 r3/2 / (GM)1/2.
But he knew g=GM/R2 where R is Earth radius, so
T = 2 r3/2 / (gR)21/2 and he knew g, r, and R.

Answer to Question 2

A


pane00

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Reply 2 on: Jul 27, 2018
:D TYSM

tkempin

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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