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Q.

Five identical balls each of mass m  and radius r  are strung like beads at random and are at rest along a smooth, rigid horizontal thin rod of length L,  mounted between immovable supports as shown in the figure. Assume  10r<L and that the collision between balls or between balls and supports are elastic. IF one ball is struck horizontally so as to acquire a speed v,  the average force felt by the support is

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a

mv2L5r

b

5mv2L10r

c

mv2L10r

d

5mv2L5r

answer is B.

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Detailed Solution

Averageforce=change  in  momentum  at  supporttime  between  two  collisions  at  support <F>=2mv(L10rv×2)=mv2L10r

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