How many Significant Figures are in the answer?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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EXAMPLE 5-11 ESTIMATE Gravity on Everest. Estimate the effective
value 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 to
fall freely at this altitude? Ignore the mass of the mountain itself.
APPROACH The force of gravity (and the acceleration due to gravity g) depends
on the distance from the center of the Earth, so there will be an effective value g
on top of Mt. Everest which will be smaller than g at sea level. We assume the
Earth is a uniform sphere (a reasonable "estimate").
SOLUTION We use Eq. 5-5, with r replaced by r = 6380 km + 8.9 km
6389 km
6.389 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%).
ME
8 = G-
= 9.77 m/s,
%3D
%3D
How many Significant Figures are in the answer?
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Transcribed Image Text:EXAMPLE 5-11 ESTIMATE Gravity on Everest. Estimate the effective value 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 to fall freely at this altitude? Ignore the mass of the mountain itself. APPROACH The force of gravity (and the acceleration due to gravity g) depends on the distance from the center of the Earth, so there will be an effective value g on top of Mt. Everest which will be smaller than g at sea level. We assume the Earth is a uniform sphere (a reasonable "estimate"). SOLUTION We use Eq. 5-5, with r replaced by r = 6380 km + 8.9 km 6389 km 6.389 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%). ME 8 = G- = 9.77 m/s, %3D %3D How many Significant Figures are in the answer? Check
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