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Two blocks A and B of masses m and 2m respectively, attached at opposite ends of a spring of constant K, placed on a smooth horizontal surface. Spring is initially at its natural length l. A is given a velocity `2V_(0)` and B given velocity `V_(0)` as shown.

Maximum separation between m and centre of mass of the system will be :

A

`(l)/(3)+sqrt((8mV_(0)^(2))/(3K))`

B

`(l)/(3)+sqrt((2mV_(0)^(2))/(3K))`

C

`(2l)/(3)+sqrt((2mV_(0)^(2))/(3K))`

D

`(2l)/(3)+sqrt((8mV_(0)^(2))/(3K))`

Text Solution

Verified by Experts

The correct Answer is:
D
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