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If the acceleration due to gravity on ea...

If the acceleration due to gravity on earth is `9.81 m//s^(2)` and the radius of the earth is 6370 km find the mass of the earth ?
`(G = 6.67 xx 10^(-11) Nm^(2)//kg^(2))`

Text Solution

Verified by Experts

`g = 9.81 m//s^(2)`,
`R = 6370 km = 6.370 xx 10^(6)m`,
`G = 6.67 xx 10^(-11) Nm^(2)//Kg^(2)`.
`g =(GM)/(R^(2))`, mass of the earth `M = (gR^(2))/(G)`
`= (9.81(6.37 xx 10^(6))^(2))/(6.67 xx 10^(-11)) = 5.97 xx 10^(-24)kg`.
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