Potential Energy of Particle The figure shows the potential energy of a particle attached to a spring for any arbitrary location. Note that the horizontal axis has units of cm. E (J) 0.04 1 0.03 0.02 0.OH -X [cm) 10 20 30 40 The system is given some energy (represented by the horizontal dashed line) and as a result it starts oscillating. A. What is the spring's equilibrium length? What is the value of the spring constant k? B. The turning points of the particle are at 10 cm and 30 cm. What is the maximum amplitude of the particle's motion? What is the particle's maximum kinetic energy? C. Sketch a graph of the particle's kinetic energy as a function of x. What is the shape of the sketch? Your sketch should include the same numbers that the figure has. D. The particle has a mass of 2.0 kg. What is the particle's maximum speed? Sketch a graph of the particle's speed as a function of x. What is the shape of the sketch? E. If the total energy of the particle is tripled, what will be the value of the maximum speed of the particle? F. If the total energy of the particle of Parts A - D is tripled, what will be its maximum amplitude