(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. F: (b) Find the period, T, in seconds. 1\" (c) Find the total mechanical energy in joules. W ml x lx>l 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) - 1 A (f) acceleration, a(t) " \"\\ _ _ r' ';_\\ O l \\\\ ' ._ On a single graph (Le. a single set of axes) draw: } \\/ " (g) the spring potential energy. (h) the kinetic energy of the mass