Question

a meteor is falling towards earth with 4m/s^2 acceleration due to gravity. if mass and radius of the earth are 6*10^24kg and 6.4*10^6m respectively, find the height of meteor.

Answer 1

3.6×10⁶ m

Step-by-step explanation:

g = GM / R²

4 m/s² = (6.67×10⁻¹¹ m³/kg/s²) (6×10²⁴ kg) / (6.4×10⁶ m + h)²

(6.4×10⁶ m + h)² = 1.00×10¹⁴ m²

6.4×10⁶ m + h = 1.00×10⁷ m

h = 3.6×10⁶ m