2000m Not to scale (d) The diagram shows a standard kilogram mass at the surface of the Earth and a spherical region S of radius 2000 m with its centre 4000 m from the surface of the Earth. The density of the rock in this region is 2800 kgm3. What force does the matter in region S exert on the standard mass? (e) If region S consisted of oil of density 900 kg m instead of rock, what differ- ence would there be in the force on the standard mass? (f) Suggest how gravity meters may be used in oil prospecting. Find the uncertainty within which the acceleration of free fall needs to be measured if the meters are to detect the (rather large) quantity of oil stated in (e). (G = 6.67 x 10 "Nm kg 2) [C, '91]

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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Standard
1kg mass
Surface of
Earth
4000 m
2000 m
Not to scale
(d) The diagram shows a standard kilogram
mass at the surface of the Earth and a
spherical region S of radius 2000 m with
its centre 4000 m from the surface of the
Earth. The density of the rock in this
region is 2800 kg m. What force does
the matter in region S exert on the
standard mass?
(e) If region S consisted of oil of density
900 kg m instead of rock, what differ-
ence would there be in the force on the
standard mass?
(f) Suggest how gravity meters may be used
in oil prospecting. Find the uncertainty
within which the acceleration of free fall
needs to be measured if the meters are to
detect the (rather large) quantity of oil
stated in (e).
(G = 6.67 x 10 1 Nm° kg) [C, '91]
Transcribed Image Text:Standard 1kg mass Surface of Earth 4000 m 2000 m Not to scale (d) The diagram shows a standard kilogram mass at the surface of the Earth and a spherical region S of radius 2000 m with its centre 4000 m from the surface of the Earth. The density of the rock in this region is 2800 kg m. What force does the matter in region S exert on the standard mass? (e) If region S consisted of oil of density 900 kg m instead of rock, what differ- ence would there be in the force on the standard mass? (f) Suggest how gravity meters may be used in oil prospecting. Find the uncertainty within which the acceleration of free fall needs to be measured if the meters are to detect the (rather large) quantity of oil stated in (e). (G = 6.67 x 10 1 Nm° kg) [C, '91]
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