A large block of wood of mass 
is hanging from two long massless cords. A bullet of mass 
is fired into the block and gets embedded in it. The (block + bullet) then swing upwards, their centre of mass rising a vertical distance 
before the (block + bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is : 
Take 
Text Solution
Verified by ExpertsC
From energy conservation,
[ 
is velocity after collision]
Applying momentum conservation, (just before and just after collision)
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