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A block of mass m moving with a velocity...

A block of mass `m` moving with a velocity `v_(0)` collides with a stationary block of mass `M` to which a spring of stiffness `k` is attached, as shown in Fig. Choose the correct alternative(s)

A

The velocity of centre of mass is `m/(m+M)v_(0)`

B

The initial kinetic energy of the system in the centre of mass frame is `1/4((mM)/(M+m))v_(0)^(2)`

C

The maximum compression in the spring is `sqrt((nM1)/((m+M)k))`

D

When the spring is in the state of maximum compression the kinetic energy in the centre of mass frame is zero

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