The acceleration due to gravity at the Earth's surface can be written as follows:
g1=R2GM.The acceleration due to gravity at the height h above the Earth can be written as follows:
g2=(R+h)2GM.Let's divide g1by g2:
g2g1=R2(R+h)2,g2g1=R(R+h),h=R(g2g1−1),h=6.37⋅106 m⋅(2.45 s2m9.8 s2m−1)=6.37⋅106 m.
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