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

If the acceleration due to gravity on earth is 9.81 m//s^(2) and the r

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