Question

If earth is squeezed to the sized of moon, calculate the weight of 100 kg mass on the squeezed earth​

Answer 1

Answer: 13,107 N

Explanation: The acceleration due to gravity is g = GM/R² ⇒ g ∝ 1/R² since G and M are constant Let g' be the acceleration due to gravity on the squeezed earth and R' = 1.75 × 10⁶ its radius g'/g = R²/R'² g' = (R/R')²g where g = 9.8 m/s² and R = 6.4 × 10⁶ m are the acceleration due to gravity and radius of normal earth. g' = (6.4 × 10⁶ m/1.75 × 10⁶ m)²9.8 m/s² g' = (3.657)²9.8 m/s² g' = (13.37)9.8 m/s² g' = 131.07 m/s² The weight of m = 100 kg mass on the squeezed earth is thus W = mg = 100 kg × 131.07 m/s² = 13107 N  

Hope it helps.... Took a while to calculate :)

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