Question

Force between two objects of equal masses is f . if 25% mass of one object is transferred to the other object , then find new force

Answer 1

f=Gm^2/r^2
now
m1=0.75m
m2=1.25m
f'=G0.75m×1.25m/r^2=0.9375Gm^2/r^2 =0.9375 f

Answer 2

According to law of gravitation, the force between two objects (m1 and m2) is proportional to their masses and inversely proportional to the square of the distance(r) between them.

F = [G * m1 * m2] / r^2  (G = gravitational constant)

From 1st case:-

F= ( G* m1* m2 ) / r^2

From 2nd case:-

if 25% mass of one object is transferred to the other object , then

m1 = 0.75 m   ,  m2  = 1.25 m

F'= (G*0.75m*1.25m)/r^2      

F'= 0.9375 G m^2/r^2  = new force      ANS

Where G=

Universal gravitational constant= [6.67*10^(-11)m^3kg^(-1)s^(-2)