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In the adjoining figure, block \( A \) is of mass \( m \) and block \( B \) is of mass \( 2 \mathrm{~m} \). The spring has force constant \( k \). All the surfaces are smooth and the system is released from rest with spring unstretched.
(a) The maximum extension of the spring is \( \frac{4 m g}{k} \)
(b) The speed of block \( A \) when extension in spring is \( \frac{2 m g}{k} \), is \( 2 g \sqrt{\frac{m}{3 k}} \)
(c) Net acceleration of block \( B \) when the extension in the spring is maximum, is \( \frac{2}{3} g \)
(d) Tension in the thread for extension of \( \frac{2 m g}{k} \) in spring is \( m g \)
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