Question

Two identical metal spheres of radius R /2 and mass M are in contact with each other. What is the magnitude of gravitational force between them?.A.)GM/R^2 B.)GM^2/2R^2 C.)GM^2/4R^2 D.)GM^2/R^2

Answer 1

Answer:

the mass of each sphere is given by:

M=volume×density=

3

4

πr

2

×d

now distance between the centers of the two spheres =2r so gravitational force between them (F)=

(2r)

2

GMM

⇒F=

9×4

16Gπ

2

r

2

d

2

r

6

So F is directly proportional to d

2

r

4