Sphere of mass M and radius R is surrounded by a spherical shell of mass 2M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is hole in the shell. With what approximate speed will it collide at B?

Sphere of mass M and radius R is surrounded by a spherical shell of

1.	Sphere of mass M and radius R is surrounded by a spherical shell of mass 2M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is hole in the shell. With what approximate speed will it collide at B?
Answer» `sqrt((2GM)/R)` `sqrt((GM)/(2R))` `sqrt((3GM)/(2R))` `sqrt((GM)/R)` Solution : `r_(1)=a-ae=a(1-e)` `r_(2)=a+ae=a(1+e)....(i)` `V_(2)=(V_(1)r_(1))/(r_(1))RARR V_(2)sqrt((GM)/a((1-e)/(1+e)))`