Unit D Module 1, Lesson 1: Simple Harmonic Motion of a Weighted Spring Lesson 1 of this assignment is worth 18 marks. The value of each question is noted in the left margin in parentheses. 1. You will be conducting an online lab for this question. Follow the steps to answer parts ac. i. ii. iii. iv. .4 V11. viii. (2) {1) {1) Open the PheT \"Masses and Springs\" lab by typing the following link into your web browser: bitly/ZIBExt'? Select the \"Lab\" option. Minimize the \"Energy Graph\" for a simpler View. Select the check box beside \"Mass Equilibrium\" to show the equilibrium line. Drag the \"Damping\" option to \"None.\" Select the check box beside \"Acceleration\" to show the acceleration vector. Select the \"Slow\" option. Drag the 100 g mass on to the spring with the spring fully compressed. a) How is the acceleration of the spring related to the net force/restoring force of the spring? Explain. b) How does the magnitude of the restoring force change as the mass oscillates? c) How does the direction of the restoring force change as the mass oscillates? ix. xi. xii. 0') (I) xiii. xiv. (I) XV. xvi. f) Uncheck the \"Acceleration\" option to hide the vector. Select the \"Period Trace\" option to help you visualize the period of the springs oscillation Drag the Timer beside your spring system. Use the timer to measure the period of your spring system: a. measure the amount of time is takes for the system to complete 5:: cycle slperiods b. divide your value on the timer by x c. the higher your value for x, i.e. the more cycles you time at once, the more accurate your measurement will be d. you can toggle between \"slow\" and \"normal\" mode while your timer is running to allow more cycles to run in less time but switch back to slow when you are about to stop your timer e. it helps to start/stop counting when the bottom of the mass reaches its lowest point What is the period of your spring system? Round to the nearest hundredth of a second. { The timer measures in seconds.) Drag the bottom of the mass down to just touch the ground (i.e. Height = 0m) and release it. Use the timer to measure the period of your spring system with the adjusted amplitude. See step xii. for measuring the period of a spring system. What is the period of your spring system after adjusting the amplitude? Round to the nearest hundredth of a second. Change the mass on your spring to 300 g by dragging the slider. Use the timer to measure the period of your spring system with the adjusted amplitude. See step xii. for measuring the period of a spring system. What is the period of your spring system after adjusting the mass? Round to the nearest hundredth of a second. xvii. Return the mass to 100 g by dragging the slider. sviii. Change the spring constant of your spring to \"Large\" by dragging the slider. xix. Use the timer to measure the period of your spring system with the adjusted spring constant. See step xii. for measuring the period of a spring system. g) What is the period of your spring system after adjusting the spring constant? Round to the nearest hundredth of a second. (1} h) Summarize the ndings of your lab by outlining how each of the following affected the period of your spring system, if at all: amplitude, mass, and spring constant. (3} 2. Use the following information for parts ac. A 175 g mass hanging from a spring (k = 25.0 N/m) oscillates with an amplitude of 15.8 cm. a) Calculate the acceleration of the mass when its displacement is 8.00 cm below equilibrium. (2} b) Determine the maximum speed of the object. (2} Physics 20: Mrs. Tyler Assignment 15 c) At what position does the maximum speed occur? (1) 3. Calculate the spring constant of a bungee cord if an 82.0 kg bungee jumper oscillates with a frequency of 0.167 H2. (2} Unit D Module 1, Lesson 2: Simple Harmonic Motion of a Pendulum Lesson 2 of this assignment is worth 17 marks. The value of each question is noted in the left margin in parentheses. 1. You will be conducting an online lab for this question. Follow the steps to answer parts ac. i. Open the PheT \"Pendulum Lab\" lab by typing the following link into your web browser: bit.ly/2XA]'3KG ii. Select the \"Lab\" option. iii. Minimize the \"Energy Graph\" for a simpler View. iv. Select the \"Period Timer\" option to insert a period timer. V. Drag the mass to an angle of 20 and release it. vi. Use the period timer to measure the period of your pendulum. a) What is the period of your pendulum? {1) vii. Drag the mass to an angle of 10 and release it. viii. Use the period timer to measure the period of your pendulum with the adjusted release angle. b) What is the period of your pendulum after adjusting the angle of release? {1) ix. Change the mass on your spring to 1.50 kg by dragging the slider. Release the mass from an angle of 20. - a x1. Use the period timer to measure the period of your spring system with the adjusted mass. c) What is the period of your pendulum after adjusting the mass? (1) Physics 20: Mrs. Tyler Assignment 15 xii. xiii. xiv. XV. {1) {3) Return the mass to 1.00 kg. Adjust the length of the pendulum to 1.00 m. Release the mass from an angle of 20. Use the period timer to measure the period of your spring system with the adjusted length. d) What is the period of your pendulum after adjusting the length? e) Summarize the findings of your lab by outlining how each of the following affected the period of your pendulum, if at all: angle of release, mass, and length. 2. Use the following information to answer parts a-c. A 500 g mass hangs from a string. Assume the string's mass and air resistance are negligible. {1) a) Calculate the magnitude of the restoring force on the mass when it is displaced 5.0\" from equilibrium. Physics 20: Mrs. Tyler Assignment 15 b) Calculate the magnitude of the restoring force on the mass when it is displaced 10.0\" from equilibrium. {1) c) What do your answers from parts a and b tell you about the relationship between the magnitude of the restoring force and the mass' angle of displacement from equilibrium? {1) 3. Calculate the period of a 1.00 m pendulum. (You may check your answer with the interactive from question 1.) (1} Physics 20: Mrs. Tyler Assignment 15 4. Calculate the acceleration due to gravity in an airplane that is flying at an altitude of 18000 m if a pendulum on the plane with a length of 30.0 cm swings with a frequency of 0.908 H2. (3} 5. Use the following information to answer parts ac. A grandfather clock contains a pendulum that is designed to complete 86 400 cycles every 24.0 h. a) Calculate the frequency of the motion of the pendulum. (I) (1} b) Calculate the period of the motion of the pendulum. Physics 20: Mrs. Tyler Assignment 15 c) Determine the required length of the pendulum to achieve the period found in part b. (1} After you have completed alt questions in Lesson 2, piease piace your assignment in a safe place untilyou have finished Lesson 3. Unit D Module 1, Lesson 3: Mechanical Resonance Lesson 3 of this assignment is worth 6 marks. The value of each question is noted in the left margin in parentheses. 1. Use the following video to answer parts Type the following link in to your web browser and watch the video from time 1m:0054m:32s: bit.1y/2wiCqu a) Which of the paper masses had the greatest amplitudets) after the system settled? Explain why this happened using the term resonant frequency. (2} b) Which of the paper masses had the lowest amplitudets) after the system settled? Explain why this happened using the term resonant frequency. (2} Physics 20: Mrs. Tyler Assignment 15 2. Describe how engineers use resonant frequency to decrease the amplitude of swaying buildings. (You may want to view 4m:3355m355 from the video in question 1 and/or read p.385 of your textbook). (2} 10