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Junior Class 1 Answered

density of earth in terms of g is acceleration due to gravity ,M is mass of the earth .r is radius of the earth.
Asked by Aryan | 08 Jan, 2016, 09:26: PM
answered-by-expert Expert Answer

Hi,

begin mathsize 12px style The space relation space between space acceleration space due space to space gravity space straight g space and space gravitational space constant space straight G space is space given space as comma straight g equals GM over straight R squared space left parenthesis straight M equals mass space of space earth comma space straight R equals radius space of space earth right parenthesis space space space space rightwards double arrow straight M equals straight g straight R squared over straight G space space space space space space space space space space space space space space space space space left parenthesis straight i right parenthesis Let space straight rho space be space the space unifrom space density space of space the space material space of space the space earth. density space of space earth comma space straight rho equals mass over volume equals fraction numerator straight M over denominator begin display style 4 over 3 end style πR cubed end fraction equals fraction numerator 3 straight M over denominator 4 πR cubed end fraction space space space space space left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis space we space ger comma space straight rho equals fraction numerator 3 straight g straight R squared over straight G over denominator 4 πR cubed end fraction equals fraction numerator 3 straight g over denominator 4 πRG end fraction end style

Answered by | 11 Jan, 2016, 06:07: PM
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