A spring of length ‘l’ and force constant k is cut into two pieces of length l/4 and 3l/4. A small block of mass ‘m’ is joined by these spring as shown in such a way that spring are non deformed. Now the block is displaced by a length ‘x’ to the right. The maximum speed attained by the block during its motion assuming that the contact surface is smooth is:
Text Solution
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Using k 1 I 1 = k 2 I 2 = k 
Maximum speed is attained when block is passing through the position when springs acquire natural lengths i.e., ∑ ∑ F block = 0
Applying W/E theorem
⇒ ⇒ 
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