Question

Two masses of m and 3 m are
kept at distance ar . Find the
gravitational force between
them
​

Answer 1

Answer:

Net force on any mass at the position between two masses is zero

Let say the distance between M and m is "x" so the net force due to M and 3M on mass m is zero

so we have,

x

2

GMm

=

(L−x)

2

G

3

Mm

now by solving above equation

L−x=

3

x

→x=

1+

3

L

now by the formula of force between two mass

F=

x

2

GMm

plug in the value of "x" in it

F=

(

1+

3

L

)

2

GMm

F=

L

2

GMm(

3

+1)

2