Commercial airliners typically cruise at an altitude of about

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

Commercial airliners typically cruise at an altitude of about 11 km11\,\text{km}. (i) Without performing detailed calculations, explain qualitatively why the acceleration due to gravity decreases with altitude. (ii) Using Earth’s radius R=6.4×103 kmR = 6.4\times10^{3}\,\text{km}, estimate the percentage reduction in gg at 11 km11\,\text{km} altitude. State clearly any approximation you use. (iii) Comment on whether passengers would notice this reduction in their apparent weight during flight.

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