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Question 1 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as

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Question 1 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 1. At which position(s) does the mass have zero acceleration? Select ALL that apply: Partial credit is NOT allowed for this question. P -> Q k m S R A. P OB. Q O C. R OD. S E. None of the four labeled positions. Mark for Review What's This?Question 2 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 2. At which position(s) does the mass experience its greatest acceleration (magnitude)? Select ALL that apply: Partial credit is NOT allowed for this question. O A. P OB. Q O C. R O D. S OE. None of the four labeled positions. Mark for Review What's This? Question 3 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 3. At which position(s) does the mass experience zero net force? Select ALL that apply: Partial credit is NOT allowed for this question. O A. P O B. Q O C. R OD. S E. None of the four labeled positions. Mark for Review What's This?Question 4 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 4. At which position(s) does the mass experience its greatest net force (magnitude)? Select ALL that apply: Partial credit is NOT allowed for this question. O A. P OB. Q O C. R D. S E. None of the four labeled positions. Mark for Review What's This? Question 5 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 5. At which position(s) does the mass have zero kinetic energy? Select ALL that apply: Partial credit is NOT allowed for this question. OA. P O B. Q O C. R OD. S E. None of the four labeled positions.Question 6 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 6. At which position(s) does the mass experience its greatest kinetic energy? Select ALL that apply: Partial credit is NOT allowed for this question. A. P OB. Q O C. R OD. S E. None of the four labeled positions. Mark for Review What's This? Question 7 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 7. At which position(s) does the spring possess zero potential energy? Select ALL that apply: Partial credit is NOT allowed for this question. O A. P B. Q O C. R O D. S O E. None of the four labeled positions. Mark for Review What's This?Question 8 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 8. At which position(s) does the spring possess its greatest potential energy? Select ALL that apply: Partial credit is NOT allowed for this question. A. P O B. Q C. R OD. S E. None of the four labeled positions. Mark for Review What's This? Question 9 of 28 0.5 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 9. If you tripled the value of the mass, what would become the new period of the system? A. unchanged O B. 31/2 times longer C. 3 times longer D. 9 times longer Reset Selection Mark for Review What's This?Question 10 of 28 1 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 10. For a frictionless system like this one, which of the following quantities will have a constant value at all times? Select ALL that apply: Partial credit is NOT allowed for this question. A. period B. frequency C. spring constant D. amplitude of oscillation E. total mechanical energy of system Mark for Review What's This? Question 11 of 28 1 Points Questions #1-11: A mass m is attached to the end of an ideal, massless spring with constant k, as shown. The mass is initially displaced to the right of the spring's equilibrium position by a distance A, then released and allowed to oscillate freely. The mass then repeatedly passes through positions QRSPQ. Neglect all friction, unless told otherwise. 11. If you added light friction (damping) tot he system, which of the following would occur? Select ALL that apply: Partial credit is NOT allowed for this question. A. The period of oscillation would decrease over time. B. The spring constant would decrease over time. C. The mass's maximum speed would decrease over time. D. The amplitude of oscillation would decrease over time. E. The total mechanical energy of the system would decrease over time.Question 12 of 28 1.5 Points 12. A 750-gram mass attached to the end of an ideal, massless spring is oscillating horizontally with an amplitude of 8.6 centimeters and spring constant 11 N/m. (Laulima will provide you randomized numerical values for amplitude and spring constant.) What is the total mechanical energy of the system? Convert your final answer to millijoules: mJ . Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible. Mark for Review What's This? Question 13 of 28 1.5 Points 13. Suppose that a 4-kilogram mass oscillates freely with an amplitude of 2.3 centimeters at the end of an ideal spring whose stiffness is 74 N/m. (Laulima will provide randomized numerical values for mass, amplitude, and spring constant.) Neglect all friction. What is the maximum speed that the mass experiences at any time during its oscillation? Convert your final answer to centimeters/second: cm/s . Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible. Mark for Review What's This?Question 14 of 28 1.5 Points Questions #14-16: A 3.4-kilogram mass oscillates freely with an amplitude of 2.8 centimeters at the end of an ideal spring whose stiffness is 97 N/m. (Laulima will provide randomized numerical values for mass, amplitude, and spring constant.) Neglect all friction. 14. What is the frequency of oscillations, in hertz? Hz . Calculate and enter your final answer to at least 2 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible. Mark for Review What's This? Question 15 of 28 0.5 Points Questions #14-16: A [3.0-5.0]-kilogram mass oscillates freely with an amplitude of [1.0-3.0] centimeters at the end of an ideal spring whose stiffness is [75-99] N/m. (In Question #14, Laulima provides randomized numerical values for mass, amplitude, and spring constant.) Neglect all friction. 15. If you doubled the stiffness of the spring, what would become the new frequency of the system? A. unchanged B. 21/2 times larger O C. 2 times larger D. 4 times larger Reset Selection Mark for Review What's This?Question 16 of 28 0.5 Points Questions #14-16: A [3.0-5.0]-kilogram mass oscillates freely with an amplitude of [1.0-3.0] centimeters at the end of an ideal spring whose stiffness is [75-99] N/m. (In Question #14, Laulima provides randomized numerical values for mass, amplitude, and spring constant.) Neglect all friction. 16. If you doubled the amplitude of oscillation, what would become the new frequency of the system? A. unchanged B. 21/2 times larger C. 2 times larger D. 4 times larger Reset Selection Mark for Review What's This? Question 17 of 28 1 Points Click to see additional instructions Questions #17-20: A 500.-g mass is attached to the end of an ideal, massless spring with constant 8.50 N/m, as shown. (These values are similar to those used in PHYS 151L Lab spring experiments.) The mass is initially displaced to the right of the spring's equilibrium position by a distance of 6.00 cm, then released at t= 0 and allowed to oscillate freely. For the following questions: Define the +x-direction for all quantities to be to the right. Each of the following answers may be POSITIVE or NEGATIVE! . Define x = 0 at the spring's equilibrium position. . Neglect all friction. 17. What is the mass's position 7.10 seconds after it is released? Convert your final answer to centimeters: cm . Calculate and enter your final answer to at least 3 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible. Mark for Review What's This? Question 18 of 28 PointsQuestion 18 of 28 1 Points Click to see additional instructions Questions #17-20: A 500.-g mass is attached to the end of an ideal, massless spring with constant 8.50 N/m, as shown. (These values are similar to those used in PHYS 151L Lab spring experiments.) The mass is initially displaced to the right of the spring's equilibrium position by a distance of 6.00 cm, then released at t= 0 and allowed to oscillate freely. For the following questions: . Define the +x-direction for all quantities to be to the right. Each of the following answers may be POSITIVE or NEGATIVE! . Define x = 0 at the spring's equilibrium position. . Neglect all friction. 18. What is the x-component of the mass's velocity 7.10 seconds after it is released? Convert your final answer to meters/second: m/s . Calculate and enter your final answer to at least 3 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. Partial credit is NOT possible. Mark for Review What's This? Question 19 of 28 1 Points Click to see additional instructions Questions #17-20: A 500.-g mass is attached to the end of an ideal, massless spring with constant 8.50 N/m, as shown. (These values are similar to those used in PHYS 151L Lab spring experiments.) The mass is initially displaced to the right of the spring's equilibrium position by a distance of 6.00 cm, then released at t= 0 and allowed to oscillate freely. For the following questions: . Define the +x-direction for all quantities to be to the right. Each of the following answers may be POSITIVE or NEGATIVE! . Define x = 0 at the spring's equilibrium position. . Neglect all friction. 19. What is the x-component of the mass's acceleration 7.10 seconds after it is released? Convert your final answer to m/s2: m/s2 . Calculate and enter your final answer to at least 3 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible.Question 20 of 28 0.5 Points Click to see additional instructions Questions #17-20: A 500.-g mass is attached to the end of an ideal, massless spring with constant 8.50 N/m, as shown. (These values are similar to those used in PHYS 151L Lab spring experiments.) The mass is initially displaced to the right of the spring's equilibrium position by a distance of 6.00 cm, then released at t= 0 and allowed to oscillate freely. For the following questions: . Define the +x-direction for all quantities to be to the right. Each of the following answers may be POSITIVE or NEGATIVE! . Define x = 0 at the spring's equilibrium position. . Neglect all friction. 20. What is the x-component of the net force acting on the mass 7.10 seconds after it is released? Convert your final answer to newtons: N . Calculate and enter your final answer to at least 3 significant figures. There is no penalty for including too many significant figures, but rounding to too few sig figs may cause Laulima to judge your answer to be wrong. . Do NOT enter units with your answer; enter only a numerical response. Laulima will count non-numerical answers as incorrect. . Partial credit is NOT possible. Mark for Review What's This?Questions #21-28: A simple pendulum (very compact bob & massless arm) has length Land mass m. It is released from rest at position Pat a small displacement angle 0, then repeatedly passes through positions PORSP. Neglect all friction, unless told otherwise. 21. At which position(s) does the mass have zero kinetic energy? Select ALL that apply: Partial credit is NOT allowed for this question. R P S -A. P B. Q C. R D. S E. None of the four labeled positions.Question 22 of28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 90, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. 22. At which position(s) does the mass have its greatest kinetic energy? Select ALL that apply: Partial credit is NOTa/lowed for this question. GAP Ciao OCR DDS C] E. None of the four labeled positions. C] Mark for Review What's This? Question 23 of28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat .3 small displacement angle 90, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. 23. Lety= 0 at the lowest point of the swing' At which positionis) does the mass possess zero potential energy? SelectALL thatapply: Partial credit is NOTa/lowed for this question. BAP Ciao OCR DDS C] E. None of the four labeled positions. C] Mark for Review What's This? Question 24 of28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 90, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise, 24. Let y= O at the lowest point of the swing. At which positionis) does the mass possess its greatest potential energy? SelectALl'. that apply: Partial credit is NOTaI/owed for this question. BAP C130 OCR Ops C] E. None of the four labeled positions. C] Mark for Review What's This? Question 25 of28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 90, then repeatedly passes through positions PORSP. Neglect all friction, unless told otherwise, 25. Ifyou tripledthe mass of the bob, what would become the new period of the system? C) A, unchanged C) B. 3\"2 times original period C) C. 3 times original period C) D. 9 times original period C) E. 3'\"2 times original period C) F. 1/3 times original period C) G, 1/9 times original period Question 26 of 28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 90, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. 26. If you halvedthe initial displacement angle 90, what would become the new period of the system? Q A. unchanged 0 B. 2\"2 times original period C) C. 2 times original period C) D. 4 times original period 0 E. 2'\"2 times original period C) F. 1/2 times original period C) G, 1/4 times original period Reset Selection C] Mark for Review What's This? Question 27 of 28 0.5 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Pat a small displacement angle 90, then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. 27. If you added light friction (damping) to the system, which of the following would occur? SelectALL that apply: Partial credit is NOTaI/owed for this question. C] A. The period of oscillation would decrease over time. C] B. The mass's maximum speed would decrease over time. C] C. The amplitude of oscillation would decrease over time. C] D. The total mechanical energy of the system would decrease over time. Question 28 of 28 1 Points Questions #21-28: A simple pendulum (very compact bob & massless arm) has length L and mass m. It is released from rest at position Fat a small displacement angle 90. then repeatedly passes through positions PQRSP. Neglect all friction, unless told otherwise. 28. Suppose that the ideal simple pendulum above has a length of 1.2 meters, and its bob has a mass of2.91 kilograms. It is released from an initial angle of 3.15 degrees and allowed to oscillate freely. (Laulima will provide randomized numerical values for length, mass, and initial displacement angle.) Neglect all friction. What will be the period of oscillation? . Calculate and enter your nal answer to at least 3 signicant gures. There is no penalty for including too many significant gures, but rounding to too few sig figs may cause La ulima to judge your answer to be wrong. - Do NOT enter units with your answer; enter only a numerical response. Laul'ima will count non-numerical answers as incorrect. . Partial credit is NOT possible

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