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The radius of a planet is “R” and mass is “M”. A satellite revolves around it in an orbital radius of “r” and an orbital velocity “v”. How would you express the acceleration due to gravity on the surface of the planet?

(a) (r^3*v/R)

(b) (r^2*v^3/R)

(c) (r^3*v^2/R)

(d) (r*v^2/R^2)

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The correct answer is (d) (r*v^2/R^2)

Explanation: Orbital velocity (v) = [(G x M) / r]^1/2

(G x M) = v^2 x r

Acceleration due to gravity (g) = (G x M) / R^2

Therefore; g = (v^2 x r) / R^2.

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