5. The graph shows the variation with the square of the displacement of the potential energy of a particle of mass 40.0 g that is executing SHM. Use the graph to determine a. The period of oscillation. (0.063s) The maximum speed of the particle 60 during an oscillation. (2.0m/s) 40 20 6. A particle of mass 0.50 kg undergoes SHM with an angular frequency of 9.0 s-1 and an amplitude of 3.0 cm. For this particle, determine: a. The maximum velocity (0.27m/s) b. The velocity and acceleration when the particle has a displacement of 1.5 cm and moves towards the equilibrium position from its initial position of x = 3.0 cm. (0.23m/s, -1.2m/s?) c. The total energy of motion. (18mJ) 7. The piston (of mass 0.25 kg) of a car engine has a stroke (i.e. distance between extreme positions, of 9.0 cm and operates at 4500 rev/min. a. Calculate the acceleration of the piston at its maximum displacement. (9999m/s?) b. Calculate the maximum velocity of the piston. (21.2m/s) c. What is the net force exerted on the piston in a) and in b)? (2500N, ON) The graph below shows the variation with the displacement of the kinetic energy of a particle of mass 0.40 kg performing SHM. Use the graph to determine: a. The total energy of the particle. (80mJ) b. The maximum speed of the particle. (0.63m/s) C. The amplitude of the motion. (0.04m) d. The potential energy when the displacement is 2.0 cm (20mJ) x/em e. The period of the motion (0.40s) 9. A body of mass 1.80 kg executes SHM such that its displacement from equilibrium is given by x = 0.369cos(6.80t), where x is in meters and t is in seconds. Determine: a. the amplitude, frequency and period of the oscillations (0.369m, 1.1Hz, 0.9s) b. the total energy of the body (5.7J) c. the kinetic energy and the potential energy of the body when the displacement is 0.125m (Ep=0.656J, Ex=5.05J)