Two blocks A and B of mass m and 2m resp...

Two blocks `A` and `B` of mass `m` and `2m` respectively are connected by a massless spring of spring constant `K`. This system lies over a smooth horizontal surface. At `t=0` the bolck `A` has velocity u towards right as shown while the speed of block `B` is zero, and the length of spring is equal to its natural length at that at that instant.

`{:(,"Column I",,"Column II"),((A),"The velocity of block A",(P),"can never be zero"),((B),"The velocity of block B",(Q),"may be zero at certain instants of time"),((C),"The kinetic energy of system of two block",(R),"is minimum at maximum compression of spring"),((D),"The potential energy of spring",(S),"is maximum at maximum extension of spring"):}`

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The correct Answer is:

(A) Q (B) Q (C) P R (D) Q S

Use C.M. frame

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Two blocks A and B of mass 2 m and m respectively are connected to a massless spring of spring constant K. if A and B moving on the horizontal frictionless surface with velocity v to right. If A collides with C of mass m elastically and head on, then the maximum compressions of the spring will be

`sqrt((3)/(2)(m)/(k))V`

`sqrt((27m)/(8K))V`

`sqrt((9m)/(8K))V`

`sqrt((8m)/(27K))V`

the momentum of each particle remains constant separately

the magnitude of momentums of each body are equal to each other

the mechanical energy of system remains constant

both (C) and (B) are correct

(a) zero

(b) `(sqrt(2mk))/(Deltat)x_0`

(d) `(sqrt(3mk))/(Deltat)x_0`