14:44 4H7EHEJE . ?so%i:i~ piazzacom p ixi (11) [8 points] A spring is stretched as shown at right and released at position x = 0.1 m at time t = 0. The mass is 3.0 kg and the spring constant is given by k =27.0 N/m. Assume a frictionless system. (a) Find the angular frequency of oscillation, co, in rad/s. (b) Find the period, T, in seconds. (c) Find the total mechanical energy in joules. Carefully draw graphs of the following quantities versus wt, x: 0 showing at least one cycle. The vertical axis should be labeled ""'"'"\"\"\"\" with proper units, and the minimum and maximum value should be noted. Label each graph with the functional form. A possible answer to (d) is provided as an example. (d) position, x(t) (e) velocity, 17(t) /\\ (f) acceleration, a(t) 9' '\\ On a single graph (i.e. a single set of axes) draw: (g) the spring potential energy. (h) the kinetic energy of the mass