One end of a slack wire (Young's modulus $Y$, length $L$ and cross-sectional area $A$ ) is clamped to a rigid wall and the other end to a block (mass $m$ ), which rests on a smooth horizontal plane. The block is set in motion with a speed $v$. What is the maximum distance, then the block will travel after the wire becomes taut?
One end of a slack wire (Young's modulus $Y$, length $L$ and cross-sectional area $A$ ) is clamped to a rigid wall and the other end to a block (mass $m$ ), which rests on a smooth horizontal plane. The block is set in motion with a speed $v$. What is the maximum distance, then the block will travel after the wire becomes taut?
- [KVPY 2015]
- A
$v \sqrt{\frac{m L}{A Y}}$
- B
$v \sqrt{\frac{2 m L}{A Y}}$
- C
$v \sqrt{\frac{m L}{2 A Y}}$
- D
$L \sqrt{\frac{m v}{A Y}}$
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