If theacceleration due to gravity on earth is 9.81 m//s^2 and the radius of the earth is 6370 km fing the mass of the earth ? (G=6.67xx10^(-11) Nm^2//kg^2)

If theacceleration due to gravity on earth is 9.81 m//s^2 and the radi

1.	If theacceleration due to gravity on earth is 9.81 m//s^2 and the radius of the earth is 6370 km fing the mass of the earth ? (G=6.67xx10^(-11) Nm^2//kg^2)
Answer» Solution :`g=9.81 m//s^2`, R=6370 km = `6.370xx10^6` m `G=6.67xx10^(-11) Nm^2//Kg^2` `g=(GM)/R^2 RARR` Mass of the EARTH `M=(gR^2)/G` `=(9.81(6.37xx10^6)^2)/(6.67xx10^(-11))= 5.97xx10^24` kg .