mayankdevnani
  • mayankdevnani
The time period of a satellite is 5 hours. If the separation between the earth and the satellite is increased to 4 times what will be the new time period? a) 20 hrs b) 10 hrs c) 80 hrs d) 40 hrs
Physics
katieb
  • katieb
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anonymous
  • anonymous
20h i guess
mayankdevnani
  • mayankdevnani
it is absolutely wrong sis? @ShikhaDessai

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anonymous
  • anonymous
i'm not sure........never solved this kind of a problem before
anonymous
  • anonymous
kepler's third law bud. \[\Large \frac{T_1^{2}}{T_2^{2}}=\frac{r_1^{3}}{r_2^{3}}\]
mayankdevnani
  • mayankdevnani
ok...then
mayankdevnani
  • mayankdevnani
why should we use kepler's 3 law, why should'nt we use 5*4=20 hrs
anonymous
  • anonymous
umm because the universe obeys the law of gravity?
anonymous
  • anonymous
let height be h first and whoose time period is 5hrs h---->4h by keplers third law|dw:1354629739334:dw||dw:1354629866140:dw|
mayankdevnani
  • mayankdevnani
but there is no word is used to denote gravity @rajathsbhat
amistre64
  • amistre64
C = 2 pi (Er+d) C/2pi = Er+d C/2pi - Er = d 4C/2pi - 4Er = 4d 4C = 2pi 4(Er +d) when the distance between E and satillite is 4times as much, given that i havent completely gotten a botched idea in me head :)
anonymous
  • anonymous
it's gravity that keeps the satellite in orbit you know...
mayankdevnani
  • mayankdevnani
ok
mayankdevnani
  • mayankdevnani
@Aperogalics where does 64 comes?
anonymous
  • anonymous
4^3=4*4*4=64:)
amistre64
  • amistre64
but, if we are using celestial laws :) isnt the area swept out the same for each condition?
mayankdevnani
  • mayankdevnani
@amistre64 you take very high-level, i did'nt understand it!
anonymous
  • anonymous
whaddya mean amistere?
anonymous
  • anonymous
@amistre64 you can do that it will be same :)
mayankdevnani
  • mayankdevnani
@rajathsbhat i tihnk there is no gravity in space
anonymous
  • anonymous
note that \(F_g = \frac{GMm}{r^2}\) and \(g=\frac{GM}{r^2}\), \(v=\frac{2 \pi}{T}\) you can also use this: \(a=g=\frac{v^2}{r}=\frac{4\pi^2}{T^2 r}\) rearranging, and substituing \(g=\frac{GM}{r^2}\), \(\frac{GM}{r^2}=\frac{4\pi^2}{T^2 r}\) \(\frac{T^2}{r^3}=\frac{4\pi^2}{GM}= constant\) so you have to use this formula.
anonymous
  • anonymous
p.s. gravity exists everywhere. in space away from mass, gravity will be very very close to zero.
anonymous
  • anonymous
mayank, it's very common to think that, believe it or not!! but lemme show you a video...
mayankdevnani
  • mayankdevnani
who is lemme?
anonymous
  • anonymous
lemme=let me.
mayankdevnani
  • mayankdevnani
where is video?
anonymous
  • anonymous
but i still think its 20h
anonymous
  • anonymous
*video from veritasium coming up*
mayankdevnani
  • mayankdevnani
ohkk
mayankdevnani
  • mayankdevnani
@Shadowys formula is correct or @Aperogalics formula
anonymous
  • anonymous
http://www.youtube.com/watch?v=d57C2drB_wc&feature=edu&list=PL772556F1EFC4D01C
anonymous
  • anonymous
didn't we both use the same thing? i just derived Apero's formula.
anonymous
  • anonymous
@mayankdevnani it is true that is actually keplers third law:)
mayankdevnani
  • mayankdevnani
ok
mayankdevnani
  • mayankdevnani
why should we use kepler's third law?
anonymous
  • anonymous
http://www.tutorvista.com/content/physics/physics-iii/gravitation/satellites.php#period-of-revolution-or-time-period-of-a-satellite Read this it will help u a lot .................as i think ur basic concepts are very week
anonymous
  • anonymous
@mayankdevnani well it is same to ask y 2+2=4 :) well kepler derives these laws if you dont use them then you still use them;)
anonymous
  • anonymous
The satellite is in orbit, so there must be a force acting on it preventing it from flying away. the only force available is gravity, which exists everywhere. And Kepler's third law follows the law of Newtons (derived above) so they hold valid.
anonymous
  • anonymous
also watch this http://www.youtube.com/watch?v=iQOHRKKNNLQ&feature=edu&list=PL772556F1EFC4D01C
mayankdevnani
  • mayankdevnani
anonymous
  • anonymous
ur welcome:)
anonymous
  • anonymous
you're welcome :)

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