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

Question

An ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to its lower end. If the mass is released with the spring initially unstretched, then the maximum extension in the spring is, 4 M g k, 2 M g k, M g k, M g 2 k

MARKS App · Accepted Answer

Let x be the maximum extension of the spring. From conservation of mechanical energy Decrease in gravitational potential energy = increase in elastic potential energy ∴ Mg x = 1 2 kx 2 or x = 2 Mg k

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