I\'m just incredibly lost on this problem, if someone couldshow me the steps it

Question

I'm just incredibly lost on this problem, if someone couldshow me the steps it would be greatly appreciated. It's marked as a"most difficult" problem in the book. They aren't joking.

316/40 A spring is mounted vertically on the floor. The mass of thespring is negligible. A certain object is placed on the spring tocompress it. When the object is pushed further down by just a bitand then released, one up/down oscillation cycle occurs in 0.250 s.However, when the object is pushed down by 5.00x10^-2 m to point Pand then released, the object flies entirely off the spring. Towhat height above point P does the object rise in the absence ofair resistance?
I'm just incredibly lost on this problem, if someone couldshow me the steps it would be greatly appreciated. It's marked as a"most difficult" problem in the book. They aren't joking.

316/40

Explanation / Answer

The time period is        T = 0.25s Angular frequency       = 2 /T According to conservation of energy, the elasticpotential energy in the spring converted into potential energyin rising the object      m g h = (1/2)kx2   Here k = 2 m     m g h = (1/2)2m x2        m g h = (1/2)(2 /T)2m x2               h = 22 x2 / gT2               = 22 (0.05)^2 / 9.8(0.25)^2               = 0.08m               = 8cm     

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