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Work Energy and Power question

2009 · Q159
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Work Energy and Power question

2009 · Q159

NEETPhysicsWork Energy and PowerMCQ+4 / −1
A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be
  1. A
    2Mg/k
  2. B
    4Mg/k
  3. C
    Mg/2k
  4. D
    Mg/k
View written solutionFree

Correct answer: A

When the mass attached to a spring fixed at the other end is allowed to fall suddenly, it extends the spring by x. Potential energy lost by the mass is gained by the spring.

Mgx=12kx2⇒x=2MgkMgx = {1 \over 2}k{x^2} \Rightarrow x = {{2Mg} \over k}Mgx=21​kx2⇒x=k2Mg​

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