Calculate Max Acceleration Mass-Spring System: Vibration/SHM Help

[hshphyss]

Can anyone help me with this problem? Thank-you

1) A mass-spring system oscillates with an amplitude of 3.5 cm. The spring constant is 230 N/m and the mass is 0.50 kg. The
mechanical energy of the mass-spring system is 0.14 joules. Calculate the maximum acceleration of the mass-spring system.

I'm not sure what formula I would use... am I solving for g?

 

[Astronuc]

The problem is asking for the maximum acceleration of the mass-spring system, and acceleration, a, = dv/dt.

One is given the spring constant, k, and mass, m, from which one may obtain the angular frequency,$\omega$, of the system.

One is also given the maximum amplitude.

Taking x(t) of the spring, which is the position of the mass from equilibrium, one can fine dx/dt, and d²x/dt².