Q.2 the The mass of satellite A is thrice that of satellite B and obital radius of satellite A from Mars is twice that of satellite B from Mars. Find the ratio of gravitational force between satellite A and Mars and satellite B and Mars.
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Answer: 4 : 3.
Explanation:
Let the mass of satellite B = m
So, mass of A = 3m
Now, let the orbital radius of satellite from Mars of satellite B = r
Hence, orbital radius of satellite A = 2r
And, let the mass of Mars be = M
∴ F b/w Mars and satellite B = GMm/r²
Same of that of satellite A = GM(3m)/(2r)²
=> F′ = 3GM/4r² = 3/4(GM/r²) = 3/4 F
So, ratio = F : F′ = F : 3/4 F
=> ratio = 1 : 3/4 = 4 : 3.
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