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Mechanical Properties Of Fluids

Question
CBSEENPH11020734

A block of mass M is attached to the lower end of a vertical strong. The string is hung from a ceiling and has to 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

  • Mg/k

  • 2Mg//k

  • 4 Mg/ k

  • Mg/2k

Solution

B.

2Mg//k

Use of the law of conservation of energy. Let x be the extension in the spring.
Applying conservation of energy
mgx space minus space 1 half kx squared space equals space 0 minus 0

straight x space equals space fraction numerator 2 space mg over denominator straight k end fraction