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Atoms And Molecules

Question
CBSEENSC9006076

Calculate the force of gravitation between the earth and the sun, given that the mass of the earth = 6 x 1024 kg and of the sun = 2 x 1030 kg. The average distance between the two is 1.5 x 1011 m.

Solution

Given, 
Mass of the earth, Me = 6  cross times space 10 to the power of 24 space kg
Mass of the Sun, Ms2 space cross times space 10 to the power of 30 space kg
Radius space of space the space Earth comma space straight r subscript straight E space equals space 1.5 space cross times space 10 to the power of 11 straight m

Force space of space gravitation space is space given space by comma space

space straight F space equals space straight G fraction numerator straight M subscript straight e space straight M subscript straight s over denominator straight r squared end fraction
space space space space equals space fraction numerator 6.67 space cross times space 10 to the power of negative 11 end exponent space cross times space 6 space cross times space 10 to the power of 24 space cross times space 2 space cross times 10 to the power of 30 over denominator left parenthesis 1.5 space cross times 10 to the power of 11 right parenthesis squared end fraction straight N

space space space space equals space fraction numerator 6.67 space cross times 12 cross times 10 to the power of 21 over denominator 1.5 space cross times space 1.5 end fraction space
space space space space equals space 3.56 space cross times space 10 to the power of 22 straight N.