JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Sample Paper Topic Test - Work Energy Power

  • question_answer
    Two masses connected by a mass less spring .are placed on a horizontal smooth surface. The spring is initially compressed by 3 cm. The system is released from rest. The velocity (in m/s) of the 2 kg mass, when spring attains natural length is to                                              

    A) \[\sqrt{\frac{3}{2}}\]

    B) \[\sqrt{\frac{2}{3}}\]

    C) \[\frac{3}{2}\]

    D) \[\sqrt{3}B=\left( 1/5\text{ }x\text{ }30 \right)\]

    Correct Answer: A

    Solution :

    [a] \[{{m}_{1}}{{v}_{1}}={{m}_{2}}{{v}_{2}}\]and\[\frac{1}{2}Kx_{0}^{2}=\frac{1}{2}{{m}_{1}}v_{1}^{2}+\frac{1}{2}{{m}_{2}}v_{2}^{2}.\] Solving\[:{{v}_{2}}=\sqrt{\frac{3}{2}}\]

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