At a Given Point Above Earth's Surface, the Acceleration Due $7.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$

At a given point above Earth's surface, the acceleration due to gravity is equal to $7.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$ What is the altitude of this point above Earth's surface?
(G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m)

A) 770 km
B) 970 km
C) 1500 km
D) 2000 km
E) 2400 km

Correct Answer:

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