Question

prove that if the earth attracts two bodies placed at the same distance from the center of earth with equal force , then their masses will be same

Answer 1

a) Let mass of first body be m1 Let mass of second body be m2 Force on 1st body = Force on 2nd body GMmi/R2 = GMm2/R2 G and G cancel. M and M cancel, R2 and R2 cancel This leaves

1\41 =M2

Hence proved