Q.

 In the figure shown the system is at rest initially. Two persons ‘A’ and ‘B’  of masses 40 kg each move with constant speeds  v1  and v2  respectively towards each other on a plank lying on a smooth horizontal surface as shown in  figure. The plank travels a distance of 20 m towards right direction in 5 sec (Here v1  and v2  are  magnitude of velocities with respect  to the plank)  . Then the possible condition (s) can be

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a

v1= 5 m/s, v2=15m/s

b

v1= 10 m/s, v2= 20m/s

c

v1=0 m/s, v2=10m/s

d

v1= 2 m/s, v2= 12m/s

answer is A, B, C, D.

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Detailed Solution

Velocity of plank = +4m/s 
Velocity of centre of mass,  VCM=0
=40v1+440v24+20440+40+20 
 v2v1=10

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