A number n of identical balls, each of mass m and radius r , are...

A number n of identical balls, each of mass

m

and radius r , are stringed like beads at random and at rest along a smooth, rigid horizontal rod of length L mounted between immovable supports;

\frac{\mathrm{r}}{\mathrm{L}}

is small but not negligible. Collision between balls, or between balls and supports, are perfectly elastic. One of the balls is struck horizontally so as to acquire a speed

v

. Resulting outward force felt by supports, averaged over a long time, is A number n of identical balls, each of mass m and radius r , are stringed like beads at random and at rest along a

A number n of identical balls, each of mass m and radius r , are stringed like beads at random and at rest along a

Options

A $\frac{m v^2}{2(L-2 n r)}$
B $\frac{m v^2}{(L-2 n r)}$
C $\frac{2 m v^2}{(\mathrm{~L}-2 \mathrm{nr})}$
D $\frac{\mathrm{mv}^2}{\mathrm{~L}}$

Correct answer

B. $\frac{m v^2}{(L-2 n r)}$

Step-by-step solution

No Solution

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