Consider a block of mass `'m'` attached to a spring of spring constant `'K'` as shown. Now a block of same mass `'m'` moving with velocity `'u'` strikes the other block and stick to it. Both blocks collectively start performing `SHM`.

Choose the correct option(s) :

Options

A. The maximum extension in the spring is `(2mg)/(K) + A` (Where `'A'` is amplitude)
B. The maximum extension in the spring is `(2mg)/(K)` (Where `'A'` is amplitude)
C. The velocity of the block at the instant is at maximum extension is zero.
D. The maximum extension in the spring is `(2mg)/(K) + 2A` (Where `'A'` is amplitude)

Answer

A, C

Explanation

`x_(max) = (2mg)/(K) + A`