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Question

Question: An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to...

An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

A

4Mg/k

B

2Mg/k

C

Mg/k

D

Mg/2k

Answer

2Mg/k

Explanation

Solution

Here P.E. = 12\frac { 1 } { 2 } kx2

i.e., mgx = 12\frac { 1 } { 2 } kx2

or x = 2mg/k