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## Homework Statement

A spring with spring constant k = 50 N/m and unstretched length of L is attached to the ceiling. A block of mass m = 1.5 kg is hung gently on the end of the spring. How far does the spring stretch?

## Homework Equations

PE

_{spring}=0.5kx

^{2}

F

_{spring}=-kx

## The Attempt at a Solution

When the mass hangs at rest at its lowest point where the spring is stretched the furthest, its weight is exerting a force of 14.7 N on the spring. Likewise, the spring should be exerting that same force on the mass, but plugging that into the force equation by dividing 14.7 by 50 gives an x value of 0.29 m, but this is incorrect. I must be overlooking something since I know I probably have to use the potential energy equation too. Any know what I'm doing wrong?