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Bouncing Ball Example

Two blocks of...

Question

Two blocks of mass $m_{1}$ and $m_{2}$ are placed on a horizontal smooth surface. There are n different blocks placed between the two blocks as shown in figure. Block $m_{1}$ is given a speed v. Find the maximum possible speed of mass $m_{2}$ . (All the collisions are perfectly elastic)

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Solution

If $m_{2}$ velocity maximum then the block between the $m_{1}$ and $m_{2}$ masses should be $m_{1}$ . Then, velocity $v$ is transfer to last $n$ th block.
After collision of $n$ th mass the the $m_{2}$
Velocity of $m_{2}$ will be $v_{2}$
$v_{2} = \frac{2 m_{1}}{(m_{1} + m_{2})} v$

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