EXAMPLE 5-11 ESTIMATE Gravity on Everest. Estimate the effectivevalue of g on the top of Mt. Everest, 8850 m (29,035 ft) above sea level(Fig. 5-20). That is, what is the acceleration due to gravity of objects allowed tofall freely at this altitude? Ignore the mass of the mountain itself.APPROACH The force of gravity (and the acceleration due to gravity g) dependson the distance from the center of the Earth, so there will be an effective value gon top of Mt. Everest which will be smaller than g at sea level. We assume theEarth is a uniform sphere (a reasonable "estimate").SOLUTION We use Eq. 5-5, with r replaced by r = 6380 km + 8.9 km6389 km6.389 x 106 m:(6.67 x 10-11 N-m2/kg²)(5.98 x 1024 kg)(6.389 x 10° m)which is a reduction of about 3 parts in a thousand (0.3%).ME8 = G-= 9.77 m/s,%3D%3DHow many Significant Figures are in the answer?Check

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Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.63P

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