Question

A uniform ring of mass m and radius r is placed directly above a uniform sphere of mass M and of equal radius. The center of ring is directly above the center of sphere at a distance r , Calculate the gravitational force exerted by the sphere on the ring

Answer 1

Answer:

Solution

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Correct option is

C

3

8r

2

GMm

The gravitational field due to the ring at a distance

3

r is given by

E=

[r

2

+(

3

r)

2

]

3/2

GM(

3

r)

⇒E=

8r

2

3

Gm

Attractive force =

8r

2

3

GmM