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Two trolleys of mass m and 3m are connected by a spring. They were compressed and released once, they move off in opposite direction and comes to rest after covering distances S1 and S2 respectively. Assuming the coefficient of friction to be uniform, the ratio of distances S1:S2 is

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a

1 : 9

b

1 : 3

c

3 : 1

d

9 : 1

answer is D.

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Detailed Solution

When trolley are released then they posses same linear momentum but in opposite direction. Kinetic energy acquired by any trolley will dissipate against friction∴μmgs=p22m⇒ [As P and u are constants] s α u2 and P α1m⇒s1s2=m2m12=312=91

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Two trolleys of mass m and 3m are connected by a spring. They were compressed and released once, they move off in opposite direction and comes to rest after covering distances S1 and S2 respectively. Assuming the coefficient of friction to be uniform, the ratio of distances S1:S2 is