A block weighing 10 N is attached to the lower end of a vertical spring (k = 200 N/m), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of 2.0 J as it passes through the point at which the spring is unstretched. Maximum kinetic energy of the block as it oscillates is:
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Maximum KE is acquired by the block when it passes the mean position of SHM where ΣF = 0 or mg = k x.
x = mg/k = - 
m
Applying work energy theorem from position A to B on the block
K f - K i = W gravity + W spring
⇒ ⇒ K f - 2J=10N 
⇒ ⇒ k f = 2.25J.
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