Question

Two spheres one of mass M has radius R. Another sphere has mass 4M and radius 2R. The centre to centre distance between them is 12 R. Find the distance from the centre of smaller sphere where (a) net gravitational field is zero, (b) net gravitational potential is half the potential on the surface of larger sphere.

Answer 1

Explanation:

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Answer 2

Answer:

4R

Explanation:

Let at point A. Which is at a distance x from smaller sphere the net

field = 0

Gravitational field of 1st sphere

= G.F of 2nd sphere

Gm/x^2=4Gm/(12R−x)^2                    

1/4=x^2/(12R−x)^2    

(1/2)^2=(x/(12R−x))^2

1/2=x/(12R−x)        

12R−x=2x

12R=2x+x

12R=3x

x=12R/3

x=4R