# Block  of mass  =2 kg is connected to another block of mass  kg with a string and a spring of force constant  N/m as shown in fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity  =1m/s. At any time,thread is burnt, the velocity of block ,when  is having maximum velocity w.r.t. ground,is a) Zero b) 1 m/s c) 3m/s d) None of these

## Question ID - 100032 :- Block  of mass  =2 kg is connected to another block of mass  kg with a string and a spring of force constant  N/m as shown in fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity  =1m/s. At any time,thread is burnt, the velocity of block ,when  is having maximum velocity w.r.t. ground,is a) Zero b) 1 m/s c) 3m/s d) None of these

3537

(c)

The velocity of  will be maximum when spring comes to its natural length.Let at that time their velocities are and  as shown

Conservation of momentum:

(i)

Conservation of energy:

(ii)

From Eqs. (i) and (ii),

m/s,  or

The second solution is possible

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In the question, a letter series is given with one term missing shown by question mark(?).  The term is one of the alternatives among the four groups of letters given under it.  Find the right alternative.

 A, D, G, J, ? (a) I (b) M (c) X (d) None of these