Q.

Two blocks of masses m and 3m on a horizontal surface are in contact with the ends of a horizontal massless spring. The coefficient of friction between m and surface and between 3m and surface is μ and μ3 respectively. The two blocks are moved towards each other to compress the spring and then released. The two blocks move off in opposite directions covering distances S1 and S2 before coming to rest. S1:S2 is

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a

3 : 1

b

1 : 9

c

1 : 3

d

9 : 1

answer is C.

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Detailed Solution

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P=m1v¯1+m2v¯2=0   v1v2=m2m1

s=v22μg   sv2μ   1m2μ

s1s2=(3mm)2.μ/3μ=91×13=31=3:1

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Two blocks of masses m and 3m on a horizontal surface are in contact with the ends of a horizontal massless spring. The coefficient of friction between m and surface and between 3m and surface is μ and μ3 respectively. The two blocks are moved towards each other to compress the spring and then released. The two blocks move off in opposite directions covering distances S1 and S2 before coming to rest. S1:S2 is