If earth is squeezed to the size of moon, calculate the weight of 100kg mass on the squeezed earth. [R 1.75x10ʻm]

plz. help me

13107 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

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