Question

The mass of the moon is about 0.013
times the mass of the earth and the
distance from the center of the moon to
the centre of the earth is about 60
times of the radius of the earth How
Far is the center of mass of the earth
moon system from the center of the
earth [ Take radius of earth is 6.4 x 10^6 m]​

Answer 1

Explanation:

centre of mass:

cm = m1x1+m2x2 / m1+m2

m1= mass of earth. say(me)

m2= mass of moon= .013me

X1= origin

X2= 60*6.4*10^6

So, cm = (0.013*60*6.4*10^6)/1.013