A block of mass ' m ' is attached to one end of a massless spring of spring constant ' k '. The other end of the spring is fixed to a wall. The block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is µ. The block is released when the spring has a compression 
of. then choose the incorrect option(s):
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(b, c, d)
(i) Velocity will be maximum when net force = 0.
k.x = µN = µmg
x = 
W s + W f = 
K
= 
mv 2
On solving
v = 
.
(ii) When the particle have velocity equal to zero, then let extension in spring be ' x '.
k 
= µmg 
+ 
k x 2
2 
= 2 
+ x µ mg + 
k x 2
x 
= 0
x = 0 (at natural length) or x = 
- when compression in spring is 
i.e. initially
So at natural length, velocity is zero and spring force is also zero. The block will not return or have
velocity towards left.
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