Physics
posted by Spaceman .
The maximum kinetic energy of a massspring system in SHM is equal to

(1/2) m Vmax^2
if x = a sin w t
v = a w cos wt
so
Vmax = a w
a is amplitude
w is circular frequency = 2 pi f
so
Ke max = (1/2) m (a^2 w^2)
= 2 pi^2 m a^2 f^2