JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Self Evaluation Test - Work, Energy and Power

  • question_answer
    In figure, a block having a mass of 5 kg is released from rest, where the spring acting on the body are horizontal and have a tension of 50 N. The force constant of each spring is, \[k=500\text{ }N/m\]. The velocity of the block after it has descended by 0.3m.             

    A) 0

    B) I m/s

    C) 2 m/s

    D) none

    Correct Answer: A

    Solution :

    [a] \[{{x}_{i}}=\frac{50}{500}=0.l\,m\,{{\ell }_{i}}=0.4-0.1=0.3m\] \[{{x}_{f}} =\sqrt{{{0.4}^{2}}- 0.{{3}^{2}}} -0.3= 0.2m\] \[2\times \frac{1}{2}k{{x}_{i}}^{2}+mg\times 0.3=2\times \frac{1}{2}k{{x}^{2}}_{f}+\frac{1}{2}m{{v}^{2}}\Rightarrow v=0\]


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