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Physics Motion in a Plane Mix MCQ (Single Correct)

There are n small elastic balls placed at rest on a smooth horizontal surface which is circular of radius R at other end. The masses of the balls are M, respectively. The least velocity which should be provided to the first ball of mass M such that nth ball completes vertical circle is

A
B
C
D

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Verified by Experts
The correct answer is:
A

Let u be the speed of first ball, then for a strike between first and second ball

Mv = Mv 1 + (i)

and (ii) solving (i) and (ii)

v 2 =

similarly for second and third ball

and

solving v 3 =

in this way v n =

For nth bal to loop v n =

i.e.,

or u=

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