A & B are blocks of same mass m exactly&n | vedclass

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Question

Just after collision $\mathrm{C}$ will stop $\&$. $A$ stant moving at speed $v$

Now apply conservation of momentum for $\mathrm{A} . \mathrm{B}

Vedclass · Accepted Answer

$v \sqrt[]{\frac{m}{2K}}$

Vedclass · Answer

Just after collision $\mathrm{C}$ will stop $\&$. $A$ stant moving at speed $v$

Now apply conservation of momentum for $\mathrm{A} . \mathrm{B}$ system

${m v+0=(m+m) V'} $

${V'=\frac{v}{2}}$

Now apply energy balance method

$\frac{1}{2} \mathrm{mv}^{2}=\frac{1}{2}(\mathrm{m}+\mathrm{m}) \mathrm{V}^{2}+\frac{1}{2} \mathrm{Kx}_{\max }^{2}$

$\frac{1}{2} m v^{2}=\frac{1}{2} 	imes 2 m \cdot \frac{v^{2}}{4}+\frac{1}{2} K x^{2} \max$

$\frac{1}{4} \mathrm{mv}^{2}=\frac{1}{2} \mathrm{Kx}_{\max }^{2}$

$\mathrm{x}_{\max }=\mathrm{v} \sqrt{\frac{\mathrm{m}}{2 \mathrm{K}}}$

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