Physics 011

MC#11A

Chapter 11 : Vibrations and Waves

 1. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = a x  The correct answer: False See Section 11-1 2. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - d x Your answer: True 3. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - (a x + Fo )  The correct answer: False See Section 11-1 4. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = ((a + b + c)) x  The correct answer: False See Section 11-1 5. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - a x + Fo Your answer: True 6. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - (b e(c/d)) x Your answer: True 7. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - ((a + b/d + c)) x Your answer: True 8. Each force in the list of forces that make up this question is the net, external force acting on an object of mass mo that is free to move in the x direction only. The vector x is the displacement of the object relative to a fixed point on the x axis (this could be the origin). The symbols a, b, c and d are positive constants and Fo is a small constant force directed in the positive x direction. The proposition (True, T or False, F) is that each of these forces would cause the object on which it is acting to undergo simple harmonic motion. F = - a x /((x•x))  The correct answer: False See Section 11-1 9. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the spring constant ko had been slightly larger, the speed of the object as it passed through its equilibrium position would have been ___ vo.  The correct answer: more than See Section 11-3 10. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the spring constant ko had been slightly smaller, the period of the motion would have been ___ To.  The correct answer: more than See Section 11-3 11. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the spring constant ko had been slightly larger, the total energy associated with the motion of the object would have been ___ Eo.  The correct answer: more than See Section 11-2 12. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the object had been released from rest at a distance less than Ao from its equilibrium position, the speed of the object as it passed through its equilibrium position would have been ___ vo.  The correct answer: less than See Section 11-3 13. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the object had been released from rest at a distance greater than Ao from its equilibrium position, the period of the motion would have been ___ To.  The correct answer: equal to See Section 11-2 14. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the object had been released from rest at a distance less than Ao from its equilibrium position, the total energy of the motion would have been ___ Eo.  The correct answer: less than See Section 11-2 15. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the mass of the object had been slightly less than mo, the speed of the object as it passed through its equilibrium position would have been ___ vo. Your answer: more than 16. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the mass of the object had been slightly larger than mo, the period of the motion would have been ___ To.  The correct answer: more than See Section 11-3 17. An object with mass mo, free to move on a one dimensional, horizontal frictionless surface is subjected to a restoring force of magnitude kox where x is the distance separating the object from its equilibrium position, (i. e., the position is which the net force acting on it is zero.) The direction of this restoring force acting on the object is such that it always pushes or pulls the object back toward its equilibrium position. The object is pulled aside until it is a distance Ao from its equilibrium position, held at rest and released. The object then undergoes simple harmonic motion with period To. The total energy associated with the motion of the object is Eo. As the object passes through its equilibrium position its speed is vo. If the mass of the object had been slightly less than mo, the total energy of the motion would have been ___ Eo.  The correct answer: equal to See Section 11-2 18. A 20-kg weight is attached to a wall by a spring. A 5.0 Newton force horizontally displaces it 1.0 meters from its equilibrium position along a frictionless floor. What is the closest estimate of the period of the oscillation of the weight?  The correct answer: 13 seconds See Section 11-3 19. A pendulum with a length L has a period of 2 seconds. In order for the pendulum to have a period of 4 seconds, we must  The correct answer: quadruple the length. See Section 11-4 20. If a pendulum 12 meters long has a frequency of 0.25 hertz, what will be the period of a second pendulum at the same location if its length is 3.0 meters? Your answer: 2.0 s 21. A pendulum clock is losing time. How should the pendulum be adjusted?  The correct answer: The length of the wire holding the bob should be shortened. See Section 11-4 22. A simple pendulum has a period of 4.63 seconds at a place on the earth where the acceleration of gravity is 9.82 m/s2. At a different location the period increases to 4.64 seconds. What is the value of g at this second point? Your answer: 9.78 m/s2 23. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the length of the string had been slightly longer than Lo, the period of the motion would have been ____ To.  The correct answer: more than See Section 11-4 24. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the mass of the pendulum bob had been slightly larger than mo, the period of the motion would have been ____ To.  The correct answer: equal to See Section 11-4 25. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the angle which the string makes with the vertical when the bob was released from rest had been slightly less than o, the period of the motion would have been ____ To.  The correct answer: equal to See Section 11-4 26. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the same pendulum was set in motion in the same way on the surface of the moon, the period of the motion would be ___ To.  The correct answer: more than See Section 11-4 27. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the length of the string had been slightly longer than Lo, the total mechanical energy of the pendulum bob would have been ___ Eo. Your answer: more than 28. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the mass of the pendulum bob had been slightly larger than mo, the total mechanical energy of the pendulum bob would have been ___ Eo.  The correct answer: more than See Section 11-4 29. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the angle which the string makes with the vertical when the bob was released from rest had been slightly less than o, the total mechanical energy of the pendulum bob would have been ___ Eo.  The correct answer: less than See Section 11-4 30. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the same pendulum was set in motion in the same way on the surface of the moon, the total mechanical energy of the pendulum bob would have been ___ Eo.  The correct answer: less than See Section 11-4 31. If the length of the string had been slightly longer than Lo, the speed of the pendulum bob as it passed through the lowest point in its swing would have been ___ vo.  The correct answer: more than See Section 11-4 32. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the mass of the pendulum bob had been slightly larger than mo, the speed of the pendulum bob as it passed through the lowest point in its swing would have been ___ vo.  The correct answer: equal to See Section 11-4 33. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the angle which the string makes with the vertical when the bob was released from rest had been slightly less than o, the speed of the pendulum bob as it passed through the lowest point in its swing would have been ___ vo.  The correct answer: less than See Section 11-4 34. A simple pendulum is made by tying an object with mass mo to the end of a string of length Lo, the other end of which is tied to the ceiling. The object is pulled aside until the string makes a small angle o with the vertical, held at rest and released. The pendulum bob then undergoes simple harmonic motion with period To and the total mechanical energy of the pendulum bob is Eo. At the lowest point in its swing, the speed of the pendulum bob is vo. If the same pendulum was set in motion in the same way on the surface of the moon, the speed of the pendulum bob as it passed through the lowest point in its swing would be ___ vo.  The correct answer: less than See Section 11-4 35. What is the wavelength of a transverse wave which has a speed of 15 meters per second and a frequency of 5.0 hertz? Your answer: 3.0 m 36. If the speed of a transverse wave of a violin string is 12 meters per second and the frequency played is 4.0 Hz, what is the wavelength of the sound?  The correct answer: 3.0 m See Section 11-7 37. What is the speed of a longitudinal sound wave in a steel rod if Young's modulus for steel is 20 x 1010 N/m2 and the density of steel is 8 x 103 kg/m3?  The correct answer: 5.0 x 103 m/s See Section 11-8 38. If two identical sound waves interact in phase, the resulting wave will have  The correct answer: a larger amplitude. See Section 11-11 39. Two waves of the same speed, same frequency and same wavelength moving in the same medium in the same direction at the same time have amplitudes of 6 cm and 2 cm respectively. If the waves are in phase, the amplitude of the resulting wave will be ___ cm.  The correct answer: 4 See Section 11-11 40. Two waves of the same speed, same frequency and same wavelength moving in the same medium in the same direction at the same time have amplitudes of 6 cm and 2 cm respectively. If the two waves are 180o out of phase, the amplitude of the resulting wave will be ___ cm.  The correct answer: 4 See Section 11-11