Question

Prove that if the earth attracts two bodies placed at same distance from the centre of the earth with the same force, then their masses are equal.​

Answer 1

Answer:

Force of attraction exerted by Earth of mass M on the object of mass m1 =

Gm1M/$r^{2}$ .......(1)

Force of attraction exerted by Earth of mass M on the object of mass m2 =

Gm2M/$r^{2}$........(2)

Equating the value ,

Gm1M/$r^{2}$ = Gm2M/$r^{2}$

Equal terms on both sides get cancelled

thus, m1 = m2

Hence, if the earth attracts two bodies placed at same distance from the centre of the earth with the same force, then their masses are equal.​