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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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The force exerted by one body on another body is given by the Newton's formula `F=Gxx(m_(1)xxm_(2))/(r^(2))`
Here, Gravitatinoal constant ,`G=6.7xx10^(-11)Nm^(2)kg^(-2)`
Mass of the earth `m_(1)=6xx10^(24)kg `
Mass the sun `m_(2)=2xx10^(30) kg `
And Distance between the `r=1.5 xx 10^(11)` m
earth and sun
Putting these values in the above formula ,we get
`F=(6.7xx10^(-11)xx6xx10^(24)xx2xx10^(30))/(1.5xx10^(11))^(2)`
`F=3.57 xx 10^(22) N`
Thus the force of gravitation between the earth and the sun is `3.57 xx 10^(22)` newtons
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