A block of mass 
kg sliding on a smooth horizontal surface with a velocity 
meets the spring of spring constant 
fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are
Text Solution
Verified by ExpertsA
When block strikes the spring, the kinetic energy of block converts into potential energy of spring i.e.,
where 
is compression in spring.
When block returns to the original position, again potential energy converts into kinetic energy of the block, so velocity of the block is same as before but its sign changes as it goes to mean position.
Hence, 
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