Laws Of Motion Question 209

Question: 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 [EAMCET (Engg.) 1995]

Options:

A)1 : 9

B) 1 : 3

C) 3 : 1

D) 9 : 1

Show Answer

Answer:

Correct Answer: D

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

therefore s1m2 [As P and u are constants]therefore s1s2=(m2m1)2=(31)2=91



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