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Venus is orbiting around the sun in 225 days. Calculate the orbital radii and speed of Venus. (Mass if sun = 2 × 10^30 kg, G = 6.67× 10^-11)

Venus is orbiting around the sun in 225 days. Calculate the orbital radii and speed of Venus. 
(Mass if sun = 2 × 10^30 kg, G = 6.67× 10^-11)

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Grade:12

2 Answers

Rishwanth
70 Points
4 years ago
The force of interaction between sun and plane  is GMm/R^2 and it is equal to mv^2/R 
GM/R=v^2
V=2πR/T
GM= 4π^2R^3/T
Therfore R = 1.48×10^6
substituting this in the above formula we get vV
 
vV2πR/T
Khimraj
3007 Points
4 years ago
radius r = (T2GM/4\pi ^{2})1/3putting values of T, G,Mr = 1.085*1011 mHope it clears.

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