The highest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of the Earth (to sea level) is 6370 km, how much does the magnitude of g change between sea level and the top of Mt. Everest? (G = 6.67 × 10^{−11} N m^{2}/kg^{2}, and the mass of the Earth is 5.98 × 10^{24} kg.)

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8.11 m/s^{2}

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7.06 m/s^{2}

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4.72 m/s^{2}

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0.110 m/s^{2}

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0.0273 m/s^{2}