Question

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","1 SI unit"),("C Maximum compression in the spring","4 SIunit"),("D Maximum potential energy stored in the spring","0.5SI unit"):}`

Answer 1

Correct Answer - 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`