A block of mass ' m ' is pushed against a spring of spring constant ' k ' fixed at one end to a wall. The block can slide on a frictionless table as shown in the figure. The natural length of the spring is L 0 and it is compressed to one-fourth of natural length and the block is released. Find its velocity as a function of its distance (x) from the wall and maximum velocity of the block. The block is not attached to the spring.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
v = 
when tc x< L 0 ; v max = 
when tc x 
L 0
Solution: 
k 
= 
mv 2 + 
k (L 0 - x) 2 when tc x < L 0
⇒ v = 
when tc x 
L 0 
= 
mv
2
⇒ v = 
which is also the maximum speed of the block. Thus, v max = 
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