Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and - Physics - Gravitation

Question

Find the distance of a point from the earth's centre where the
resultant gravitational field due to the earth and moon is zero The
mass of the earth is 6 0*10^24 kg and that of the moon is 7
4*10^22kg The distance b/w earth and the moon is 4*10^5 km

Shobhit Mittal · Accepted Answer

Dear Student,

let the field be zero at xlet the mass of the earth be M and that of the moon m GMx2=Gmr-x26*1024x2=7
4*10224*105-x281x2=14*105-x29x=14*105-x36*105-9x=x10x=36*105kmx=3
6*105 km   from the center of the earth
Regards

Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and moon is zero.The mass of the earth is 6.0*10^24 kg and that of the moon is 7.4*10^22kg . The distance b/w earth and the moon is 4*10^5 km.

Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and moon is zero.The mass of the earth is 6.010^24 kg and that of the moon is 7.410^22kg . The distance b/w earth and the moon is 4*10^5 km.