The distance from the Earth's center to the point outside the Earth is 55800 Km
How to determine the distance from the surface of the Earth
- Acceleration due to gravity of Earth = 9.8 m/s²
- Acceleration due to gravity of the poin (g) = 1/60 × 9.8 = 0.163 m/s²
- Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
- Mass of the Earth (M) = 5.97×10²⁴ Kg
- Distance from the surface of the Earth (r) =?
g = GM / r²
Cross multiply
GM = gr²
Divide both sides by g
r² = GM / g
Take the square root of both sides
r = √(GM / g)
r = √[(6.67×10¯¹¹ × 5.97×10²⁴) / 0.163)]
r = 4.94×10⁷ m
Divide by 1000 to express in Km
r = 4.94×10⁷ / 1000
r = 4.94×10⁴ Km
How to determine the distance from the center of the Earth
- Distance from the surface of the Earth (r) = 4.94×10⁴ Km
- Radius of the Earth (R) = 6400 Km
- Distance from the centre of the Earth =?
Distance from the centre of the Earth = R + r
Distance from the centre of the Earth = 6400 + 4.94×10⁴
Distance from the centre of the Earth = 55800 Km
Learn more about gravitational force:
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