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In the arrangement shown in figure match...

In the arrangement shown in figure match the following

`{:("column1","column2"),("A Velocities of center of mass","P 2SI unit"),("B Velocity of combined mass when compression in the spring is maximum","Q 1 SI unit"),("C Maximum compression in the spring","R 4 SIunit"),("D Maximum potential energy stored in the spring","S 0.5SI unit"):}`

Text Solution

Verified by Experts

The correct Answer is:
A `rightarrow`q, B `rightarrow`q, C`rightarrow`q, D `rightarrow`p
`v_(CM)=(m_(1)v_(1) + m_(2)v_(2)) = 1ms^(-1)`
During maximum compression also, velocity of combined mass is `ms^(-1)`.
Now, `U_(max) = K_(1) - K_(2)`
`1/2KX_(max)^(2) = 2J`
We have, `X_(max) = 1m`
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