The weight of a object on the surface of earth is 392N,what will be the weight of this body on a planet whose mass is double that of the earth and radius is four times that of earth
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49N .. Use g=GM/R² and replace g' of another planet by M=2M & R=4R.. U will get the answer
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Weight ∝ M / R²
W1 / W2 = (M1 / M2) × (R2 / R1)^2
W2 = W1 × (R1 / R2)^2 × (M2 / M1)
W2 = 392 × (R1 / (R1/4))^2 × (2M1 / M1)
W2 = 392 × 16 × 2
W2 = 12544 N = 12.544 kN
Weight of object at that planet will be 12.544 kN
W1 / W2 = (M1 / M2) × (R2 / R1)^2
W2 = W1 × (R1 / R2)^2 × (M2 / M1)
W2 = 392 × (R1 / (R1/4))^2 × (2M1 / M1)
W2 = 392 × 16 × 2
W2 = 12544 N = 12.544 kN
Weight of object at that planet will be 12.544 kN
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