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
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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)
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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
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