A mass (2.00 kg) is attached to a spring and forms a system that is placed on a horizontal, smooth surface. The mass is pulled 0.200 m from its equilibrium position, and to be held at rest, a horizontal force of 20.0 N must be acting on it. When the mass is released from rest it undergoes a simple harmonic oscillation. Determine: (a) the spring constant of the spring (b) the frequency of the oscillations (c) the total energy of the spring-mass system (d) the speed of the mass when its position is equal to one third of the amplitude (e) the acceleration of the mass when its position is equal to one third of amplitude.