A mass (2.00 kg) attached to a spring forms a system that and it 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 simple harmonic oscillations. Determine: (a) the spring constant of the spring (b) the frequency of the oscillations (c) the maximum speed of the mass and the position of the mass when its speed is maximum (d) the maximum acceleration of the object and the position of the mass when its acceleration is maximum (e) the total energy of the oscillating system (f) the speed of the mass when its position is equal to one third of the maximum value (g) the acceleration of the mass when its position is equal to one third of the maximum value.