A block of mass m is moving with a speed v on a horizontal rough surface and collides with a horizontally mounted spring of spring constant k as shown in the figure. The coefficient of friction between the block and the floor is 
. The maximum compression of the spring is:
Text Solution
Verified by ExpertsA
: In presence of friction, both the spring force and the frictional act so as to oppose the
compression of the spring.
Work done by the net force
Where 
is the maximum compression of the spring. Change in kinetic energy.
According to work-energy theorem
It is a quadratic equation in 
.
Solving this quadratic equation for 
and taking only positive root since 
is positive, we get
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