Q.

Two blocks of mass 3kg and 6kg respectively are placed on a smooth horizontal surface and they are connected by a light spring of force constant k=200 Nm-1. Initially, the spring is unstretched and velocities of  1 ms-1 and 2 ms-1 are imparted in opposite directions to the respective blocks as shown in figure. The maximum extension of the spring will be

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a

20 cm 

b

25 cm 

c

15 cm

d

30 cm

answer is D.

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Detailed Solution

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6(2)+3(1)=(3+6)v

x is the maximum extension in the spring.

12(9)(1)2+12(200)x2=12(3)12+12(6)(2)2

x = 30 cm

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