In the figure shown, a spring mass system is placed on a horizontal smooth surface in between tw...

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In the figure shown, a spring mass system is placed on a horizontal smooth surface in between two vertical rigid walls \( W_{1} \) and \( W_{2} \). One end of spring is fixed with wall \( W_{1} \) and other end is attached with mass \( m \) which is free to move. Initially, spring is tension free and having natural length \( l_{0} \). Mass \( m \) is compressed through a distance \( a \) and released. Taking the collision between wall \( W_{2} \) and mass \( m \) as elastic and \( K \) as spring constant, the average force exerted by
P mass \( m \) on wall \( W_{2} \) in one oscillation of block is

W
(a) \( \frac{2 a K}{\pi} \)
(b) \( \frac{2 m a}{\pi} \)
(c) \( \frac{a K}{\pi} \)
(d) \( \frac{2 a K}{m} \)
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