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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 :
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- 2 Mg/k
- 4 Mg/k
- Mg/2k
- Mg/k
Correct Option: D
Restoring force, f ′ = – kx
where x is the extension produced in the spring.
Weight of the mass acting downward = Mg.
In equilibrium kx = Mg or x = | ||
k |