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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:

Option: 1

2 Mg/k


Option: 2

4 Mg/k


Option: 3

Mg/2k


Option: 4

Mg/k


Answers (1)

best_answer

  Let x be the extension in the spring.

Applying  law of conservation of energy

we get

m g x-\frac{1}{2} k x^{2}=0-0$

x=\frac{2 m g}{k}$

Posted by

Rakesh

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