Laws of Motion

JEE Main level, single correct, medium

118 of 210

Question 118 of 210

Two identical blocks AA and BB each of mass mm resting on the smooth horizontal floor are connected by a light spring of natural length LL and spring constant KK. A third block CC of mass mm moving with a speed vv along the line joining AA and BB collides with AA.The maximum compression in the spring is

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Answer: (A) vm2Kv\sqrt{\dfrac{m}{2K}}

CC comes to rest
Vcm{V}_{cm} of A&B=\dfrac{v}{2}
⇒12\Rightarrow \dfrac{1}{2} is vret2=12kx2{v}_{ret}^{2}=\dfrac{1}{2}k{x}^{2}
x=μ×v2k=m2k×vx=\sqrt{\dfrac{\mu \times {v}^{2}}{k}}=\sqrt{\dfrac{m}{2k}}\times v.

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