Question

the force of attraction between two objects of masses 2m and m is F1. When the object with mass 2m is replaced with another object of mass m/2, the new force of attraction is found to be F2. The ratio of F2:F1 is

(A) 3:2 (B) 2:3 (C) 1:4 (D) 4:1 ​

Answer 1

Answer:

According to Sir Newton's gravitational law the magnitude of gravitational force F between objects of mass m

1

and m

2

separated by a distance R is given by ,

F=G

R

2

m

1

m

2

............eq1 ,

now if the distance between them is doubled i.e. 2R ,then the gravitational force will be ,

F

′

=G

(2R)

2

m

1

m

2

=G

4R

2

m

1

m

2

,

now by using eq1 ,

F

′

=F/4

Answer 2

Answer:

f2= g.m.2m/r^2

-----------------------

f1=  g.m.m/2/r^2

f2/f1=4

f2:f1=1:4

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Explanation: