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The mass of the earth is 6xx10^(24)kg. T...

The mass of the earth is `6xx10^(24)kg.` The distance between the earth and the sun is `1.5xx10^(11)m.` If the gravitational force between the two is `3.5xx10^(22)N,` what is the mass of the Sun?

Text Solution

Verified by Experts

Given :
Mass of earth `(M_(E))=6xx10^(24)kg`
Distance ( r) `=1.5xx10^(11)m`
`F=3.5xx10^(22)N`
`G=6.7xx10^(-11)Nm^(2)kg^(-2)`
To find : Mass of sun `(M_(s))`
Formula : `F=(GM_(E)M_(s))/(r^(2))`
`thereforeM_(s)=(Fr^(2))/(GM_(E))`
`=(3.5xx10^(22)xx(1.5xx10^(11))2)/(6.7xx10^(-11)xx6xx10^(24))`
`=(3.5xx1.5xx1.5)/(6.7xx6)xx(10^(44))/(10^(13))`
`=0.196xx10^(31)`
Mass of sun is `1.96xx10^(30)kg`
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