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Questions 11-12 A sphere of mass my, which is attached to a spring, is displaced downward from its equilibrium position as shown above left and released from rest. A sphere of mass my, which is suspended from a string of length L, is displaced to the right as shown above right and released from rest so that it swings as a simple pendulum with small amplitude. Assume that both spheres undergo simple harmonic motion 11. Which of the following is true for both spheres? (A) The maximum kinetic energy is attained as the sphere passes through its equilibrium position (B) The maximum kinetic energy is attained as the sphere reaches its point of release. (C) The minimum gravitational potential energy is attained as the sphere passes through its equilibrium position. (D) The maximum gravitational potential energy is attained when the sphere reaches its point of release. (E) The maximum total energy is attained only as the sphere passes through its equilibrium position. 12. If both spheres have the same period of oscillation, which of the following is an expression for the spring constant (A) L/mig (B)g/m2L C) mzg / L (D) mig / L 13. A simple pendulum and a mass hanging on a spring both have a period of 1 s when set into small oscillatory motion on Earth. They are taken to Planet X, which has the same diameter as Earth but twice the mass. Which of the following statements is true about the periods of the two objects on Planet X compared to their periods on Earth? (A) Both are shorter. (B) Both are the same. (C) The period of the mass on the spring is shorter; that of the pendulum is the same. (D) The period of the pendulum is shorter; that of the mass on the spring is the same (8 = 10 m/s' 0 .1 KB Questions 14-15 A 0.1 -kilogram block is attached to an initially unstretched spring of force constant k = 40 newtons per meter as shown above. The block is released from rest at time t = 0. 14. What is the amplitude, in meters, of the resulting simple harmonic motion of the block? (A) - m (B) -m (C) =m ( D ) - m 40 20 2