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Unformatted text preview: Niu (qn269) HW10 Tsoi (58020) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A 0 . 462 kg mass is attached to a spring and undergoes simple harmonic motion with a pe- riod of 0 . 66 s. The total energy of the system is 4 . 2 J. Find the amplitude of the motion. Answer in units of m. 002 10.0 points If almost any system in stable equilibrium is slightly disturbed, it will then exhibit simple harmonic motion because 1. the potential energy of a system near a state of static equilibrium is proportional to the cube of the displacement from the equi- librium position. 2. momentum and mechanical energy are both conserved. 3. mechanical energy is conserved. 4. the force on a system in stable equilibrium is zero. 5. the momentum of a system in stable equi- librium is zero. 6. the potential energy of a system near a state of static equilibrium is linearly propor- tional to the displacement from the equilib- rium position. 7. the potential energy of a system near a state of static equilibrium is proportional to the square of the displacement from the equilibrium position. 8. momentum is conserved. 9. the kinetic energy on a system in stable equilibrium is zero. 10. the force on a system in unstable equilib- rium is zero. 003 10.0 points A particle oscillates harmonically x = A sin( t + ) , with amplitude 13 m, angular frequency s 1 , and initial phase 3 radians. Every now and then, the particles kinetic energy and potential energy happen to be equal to each other ( K = U ). When does this equality happen for the first time after t = 0? 1. 0.4167 s 2. 0.9967 s 3. 0.7615 s 4. 0.6547 s 5. 0.5884 s 6. 0.8623 s 7. 0.5267 s 8. 0.2238 s 9. 0.3467 s 10. 0.1294 s 004 10.0 points If almost any system in stable equilibrium is slightly disturbed, it will then exhibit simple...
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