anonymous
  • anonymous
Planet A and Planet B are in circular orbits around a distant star. Planet A is 6.0 times farther from the star than Planet B. Find the ratio of their speeds. Va/Vb.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mos1635
  • mos1635
aplay centripatal force condition for circular motion with only gravitational force, the each planet do you see how to proceed??
anonymous
  • anonymous
|dw:1333625537679:dw| hey tell me first the diagram i drawn is correct or not??
anonymous
  • anonymous
here u ll see the force is gravitational force now we will compare it with cetrepetal force

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anonymous
  • anonymous
let mass of star=m mass of planet A =m1 mass of planet B=m2 F=Gm1m/r^2.......................(1) centrpetal force F=mvA^2/r.............(2) by comparing equation 1 and 2 vA= sqrtGm1/rA similary vB=sqrt Gm2/rB u are given dat rA=6rB by solving u ll get vA/vB=sqrt m1/6m2
anonymous
  • anonymous
So its \[\sqrt{1/6}= .4082?\]
anonymous
  • anonymous
but u are not given mass so how can we asume that m1 and m2 are equal so in ratio u have to put m1 and m2 too..
mos1635
  • mos1635
no no no heena in your comparition of equation 1 and 2 you have M(of planet) on your final formula.
mos1635
  • mos1635
|dw:1333632298016:dw|
anonymous
  • anonymous
no i m gettin m1 and m2 and m is cancelled out when we compare as a mention m is mass of star
anonymous
  • anonymous
oh den my figure is wrong i was thinking dat my figure is not correct dats y i asked above :)
mos1635
  • mos1635
m1 is cancellled when you tace F(grav)=F(cenrt) for planet 1 m2 is cancellled when you tace F(grav)=F(cenrt) for planet 2 m is cancellled when you divide them together
mos1635
  • mos1635
but your concept is right!!!

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