Answer:
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
