Question

Three uniform Solid Spheres of mass M and radius R are touching each other
Find the force of attraction
on any one due to other two

Answer 1

Answer:

Each of the spheres can be assumed to be masses located at the center of the sphere of mass m. Hence the three spheres will constitute three particles each of mass m located at vertices of equilateral triangle of side 2r. Force on each mass due to the other sphere will be

Due to the sphere F

1

=

(2r)

2

Gm

2

Due to second sphere F

2

=

(2r)

2

Gm

2

Note that F

1

and F

2

will be oriented along two side of the equilateral triangle at an angle of 60

0

.

Resultant force on each sphere

F

1

=

F1

2

+F2

2

+2F1F2cos60

0

F

1

=

3

4r

2

Gm

2

Explanation:

Please MAKE me BRAINLIST