In the arrangement shown in figure match the following: Column-IColumn-II(i) Velocity of center of mass[A] 2 SI unit(ii) Velocity of combined mass when compression in the spring is maximum[B] 1 SI unit(iii) Maximum compression in the spring[C] 4 SI unit(iv) Maximum potential energy stored in the spring[D] 0.5 SI unit

In the arrangement shown in figure match the following: Co…

Physics Newton's Laws of Motion Mix MCQ (Single Correct)

In the arrangement shown in figure match the following:

Column-I	Column-II
(i) Velocity of center of mass	[A] 2 SI unit
(ii) Velocity of combined mass when compression in the spring is maximum	[B] 1 SI unit
(iii) Maximum compression in the spring	[C] 4 SI unit
(iv) Maximum potential energy stored in the spring	[D] 0.5 SI unit

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The correct answer is:

CHECK THE SOLUTION.

(i)-[B], (ii)-[B], (iii)-[B], (iv)-[A]

Sol. v cm = = 1 m/s

During maximum compression also, velocity of combined mass is 1 m/s

Now, U max = K i – K f

= × 2 × (2) 2 – × 4 × (1) 2 = 2J

From K = 2J

we have, X max = 1 m

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