Find the percentage decrease in the acceleration due to gravity at the distance of 6000km from the centre of the earth

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Solution

The formula for acceleration due to gravity is:
g = G.M/(R+h)²
where,

G = 6.67 × 10-¹¹ Nm²/kg²

M = 5.97 × 10²⁴ kg

R+h = (6.37×10^6 + 6×10^6) m

g=6.67 × 10-¹¹ * 5.97 × 10²⁴ / (6.37×10^6 + 6×10^6)^2
=2.602 m/s^2
percentage decrease = orginal value - new value / original value 100
=((9.81-2.60)/9.81)100
= 73.49 %

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