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1. The graph shows how the displacement varies with time for an object undergoing simple harmonic motion. Which graph shows how the object’s acceleration a varies with time t? (Total 1 mark) IB Questionbank Physics 1 2. A particle oscillates with simple harmonic motion with period T. At time t = 0, the particle has its maximum displacement. Which graph shows the variation with time t of the kinetic energy Ek of the particle? (Total 1 mark) IB Questionbank Physics 2 3. The graph shows how the velocity v of an object undergoing simple harmonic motion varies with time t for one complete period of oscillation. Which of the following sketch graphs best shows how the total energy E of the object varies with t? (Total 1 mark) IB Questionbank Physics 3 4. The graphs show how the acceleration a of four different particles varies with their displacement x. Which of the particles is executing simple harmonic motion? (Total 1 mark) IB Questionbank Physics 4 5. An object at the end of a spring oscillates vertically with simple harmonic motion. The graph shows the variation with time t of the displacement x. The amplitude is x0 and the period of oscillation is T. Which of the following is the correct expression for the displacement x? A. x 0 cos B. x 0 cos C. x 0 sin D. x 0 sin 2 t T 2 t T 2 t T 2 t T (Total 1 mark) 6. A particle performs simple harmonic oscillations. Which of the following quantities will be unaffected by a reduction in the amplitude of oscillations? A. The total energy B. The maximum speed C. The maximum acceleration D. The period (Total 1 mark) IB Questionbank Physics 5 7. A mass on the end of a horizontal spring is displaced from its equilibrium position by a distance A and released. Its subsequent oscillations have total energy E and time period T. An identical mass is attached to an identical spring. The maximum displacement is 2A. Assuming this spring obeys Hooke’s law, which of the following gives the correct time period and total energy? New time period New energy A. T 4E B. T 2E C. 2T 4E D. 2T 2E (Total 1 mark) 8. For a system executing simple harmonic motion, the restoring force acting on the system is proportional to the A. displacement of the system from equilibrium. B. amplitude of oscillation. C. elastic potential energy. D. frequency of oscillation. (Total 1 mark) IB Questionbank Physics 6 9. A cart, connected to two identical springs, is oscillating with simple harmonic motion between two points X and Y that are equidistant from point O. The cart is in equilibrium at A. all points between X and Y. B. point O only. C. points X and Y only. D. points O, X and Y only. (Total 1 mark) IB Questionbank Physics 7 10. The graph below shows how the displacement x of a particle undergoing simple harmonic motion varies with time t. The motion is undamped. Which of the following graphs correctly shows how the velocity v of the particle varies with t? (Total 1 mark) IB Questionbank Physics 8