A long block \( A \) is at rest on a smooth horizontal surface. A small block \( B \) whose mass...

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A long block \( A \) is at rest on a smooth horizontal surface. A small block \( B \) whose mass is half of mass of \( A \) is placed on \( A \) at one end and is given an initial velocity \( u \) as shown in the figure. The coefficient of friction between the blocks is \( \mu \). Choose the correct statement(s).
(1) Finally both move with a common velocity \( 2 u / 3 \).
(2) Acceleration of \( B \) relative to \( A \) initially is \( 3 \mu g / 2 \) towards left.
(3) Magnitude of total work done by friction is equal to the final kinetic energy of the system.
(4) The ratio of initial to final momentum of the system is 1 .
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