Question

Please answer this question: The Gravitational Force of attraction between 2 bodies is F1,if the mass of each body is doubled and the distance between them is half.Then the Gravitational Force between them is F2 . Then
A) F1=F2
B)F2=4F1
C) F2=8F1
D)F2=16F1

Answer 1

The answer is D...................

Answer 2

as we know that,

F= G×M1×M2/r²

Let,

masses of two bodies = m1 and m2

distance betwwen them = r

then, f1= G×m1×m2/r²

a/q

massses of two bodies= 2m1 and 2m2

dist between them = 1/2 r

then, F2 = G×m1×m2/(1/2r)²

now dividing f2/f1

f2/f1 = G×2M1×2M2×R²/G×M1×M2×r²

f2/f1=16

f2=16f1

hence, (d) F2=16F1