Two identical blocks \( A \) and \( B \), each of mass \( m \) rest...
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Two identical blocks \( A \) and \( B \), each of mass \( m \) resting on smooth floor, are connected by a light spring of natural length \( L \) and the spring constant \( k \), with the spring at its natural length. A third identical block at \( C \) (mass \( m \) ) moving with a speed \( v \) along the line joining \( A \) and \( B \) collides with \( A \). (Consider the collision to be elastic in nature)
The maximum compression in the spring is equal to
(a) \( v \sqrt{\frac{m}{2 k}} \)
(b) \( m \sqrt{\frac{v}{2 k}} \)
(c) \( \sqrt{\frac{m v}{k}} \)
(d) \( \frac{m v}{2 k} \)
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