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Calculate the force of gravitation betwe...

Calculate the force of gravitation between the earth the sun, given that the mass of the earth `=6xx10^(24)`kg and mass of the sun `=2xx10^(30)`kg. The average distance between the two is `1.5xx10^(11)m`.

Text Solution

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Here, `F=?,m_(1)=6xx10^(24)kg, m_(2)=2xx10^(30)kg`
`r=1.5xx10^(11)m, G=6.7xx10-11Nm^(2)//kg^(2)`
`F=(Gm_(1)m_(2))/r^(2)=(6.7xx10^(-11)xx(6xx10^(24))xx(2xx10^(30)))/((1.5xx10^(11))^(2))=3.57xx10^(22)N`
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Knowledge Check

  • What is the binding energy of earth-sun system neglecting the effect of other planets and satellites? (Mass of earth M_(e ) = 6 xx 10^(24) kg , mass of the sun M_(s) = 2 xx 10^(30) kg^(-2) , distance between earth & sum = 1.5 xx 10^(11)m) Assuming circular orbit of earth around sun

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    D
    `2.6 xx 10^33 J`
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