A child's pogo stick (figure below) stores energy in a spring (k = 3.15 x 104 N/m). At position @ (x, = -0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (B) (x = 0), the spring is relaxed and the child is moving upward. At position @, the child is again momentarily at rest at the top of the jump. Assume that the combined mass of child and pogo stick is 16.0 kg. C B A X2 (a) Calculate the total energy of the system if both potential energies are zero at x = 0. J (b) Determine X2. m (c) Calculate the speed of the child at x = 0. m/s (d) Determine the value of x for which the kinetic energy of the system is a maximum. mm (e) Obtain the child's maximum upward speed. m/sA 1.50 x 103-kg car starts from rest and accelerates uniformly to 16.6 [1'le in 11.9 5. Assume that air resistance remains constant at 400 N during this time. (3) Find the average power developed by the engine. hp (b) Find the instantaneous power output of the engine at t = 11.9 5, just before the car stops accelerating. hp