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Sagot :
Answer:
F = G M m / R^ force between m and earth where R >= radius of earth
a = F / m = G M / R^2 acceleration at radius R
am / ae = (Re / Rm)^2 acceleration of meteor to that of earth
am / ar = (4 / 9.8) = (Re / Rm)^2
Rm = (9.8 / 4)^1/2 Re
Rm = 1.56 Re = 1.56 * 6.4E106 m = 10E6
10E6 - 6.4E6 = 3.6E6 m above surface of earth
(You only need mass of earth if you are calculating a at the surface of the earth)
Calculate g = G M / R^2 = 6.67E-11 * 6E24 / 6.4E6)^2 = 9.77 m/s^2
This is close to the value we used - 9.8 m/s^2
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