A block of mass \( m \) is hanging from a massless spring of spring constant \( k \). It is in...

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A block of mass \( m \) is hanging from a massless
spring of spring constant \( k \). It is in equilibrium
under the influence of gravitational force.
Another particle of same mass \( m \) moving
upwards with velocity \( u_{0} \) hits the block and
sticks to it. For the subsequent motion, choose
the incorrect statements:
(1) Velocity of the combined mass must be maximum at
natural length of the spring.
(2) Velocity of the combined mass must be maximum at the
new equilibrium position.
(3) Velocity of the combined mass must be maximum at the
instant particle hits the block.
(4) Velocity of the combined mass must be maximum at a
point lying between old equilibrium position and natural
length.
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