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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-4.98. Assume \( 10 rL \) 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:
Figure \( 4.98 \)
(A) \( \frac{5 m v^{2}}{L-5 r} \)
(B) \( \frac{m v^{2}}{L-10 r} \)
(C) \( \frac{5 m v^{2}}{L-10 r} \)
(D) \( \frac{m v^{2}}{L-5 r} \)
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