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Physics Lab 7 (Online Simulation) SIMPLE HARMONIC MOTION Mechanics Unit 7 TA name: Due Date: Student Name: Student ID: Simulation Activity #8: Masses and Springs Simulation created by the Physics Education Technology Project (PhET) c/o The University of Colorado at Boulder http://phet.colorado.edu/ Investigating Springs: Harmonic Motion and Energy Exchanges Objective: This activity is intended to enhance your physics education. We offer it as a virtual lab online. We think it will help you make connections between predictions and conclusions, concepts and actions, equations and practical activities. We also think that if you give this activity a chance, it will be fun! This is an opportunity to learn a great deal. Answer all questions as you follow the procedure in running the simulation. You need to familiarize yourself with this spring mass system simulation. The spring’s stiffness can be adjusted using “spring constant” slide and the mass can be adjusted using “mass” slide. There are also sets of unknown masses that can easily be hanging on springs. The oscillation of a Physics Lab 7 (Online Simulation) mass can be real time or slowed down. The damping effect can be controlled by “damping” slide bar. You can also transport the virtual lab to a different planet. You have also an option to observe how the potential and kinetic energies exchange during oscillation and thermal energy due to friction in the system. Timer is also available if check the “stopwatch” box in the control panel. Use the “ruler” to make vertical position measurements. Introduction: When a load is applied to the free end of a spring suspended from a fixed support, the spring stretches until the tension in the spring balances the weight of the load. If the stretch is within the elastic limit of the spring, the load on the spring is directly proportional to the stretch of the spring and the spring obeys Hooke’s law. Hooke’s law: 𝐹 = −𝑘𝑥, where k is the spring constant and x is stretched (or compressed) Under this conditions, the loaded spring, if set into vibration, will undergo harmonic motion with a period given by the equation, 𝑚 𝑇 = 2𝜋√ 𝑘 Where T = period of motion, m=the effective mass of the vibrating system, and k=the spring constant Physics Lab 7 (Online Simulation) Procedure: Finding Spring Constant: Open Masses and Springs http://phet.colorado.edu/simulations/sims.php?sim=Masses_and_Springs When you start the lab, make sure you click on the Lab button. 1. Apply the settings as shown above. a. Measure the starting position by placing the ruler next to the spring. x0sp1 = ________m b. Hang a 100g mass from the spring and read the new position of the spring. x1sp1 = ________m c. Calculate the displacement, then calculate what the upward force should be on the mass (hint, draw a Free Body Diagram). Then, calculate the constant of the spring using those two values and Hooke’s Law. x = ____m, Force = ____ N Ksp1 = _____N/m Physics Lab 7 (Online Simulation) 2. Using the spring constant you found in 1c, calculate the red and blue masses by performing the same experiment as before. Mred = _________ kg, Mblue = _________ kg, 3. Using the spring constant you found for the first spring and the 100g mass, calculate the acceleration due to gravity on Jupiter, the Moon, and Planet X. gJupiter = ____ m/s2 gMoon = ____ m/s2 gPlanet X = ____ m/s2 Physics Lab 7 (Online Simulation) 4. Apply the above settings and answer the questions a. Remove damping (or slide to none). b. Check the stopwatch box to activate the timer. c. Attach the 100g mass slowly and record the initial position of this spring-mass system. d. Now stretch an additional 10cm and release it, so that it constitutes SHM. 5. Record the time it takes for 20 complete oscillations. Using this value, calculate the average period (Hint: you should not use the equation given in the introduction). Time (t) = ______ s, Average Period (T) = ______ s 6. Using the spring constant found in #1c and the 100g mass, calculate the period of this SHM. (now using the equation described in the introduction.) Period (T) = ______ s 7. Compare the periods you found in steps 4 and 5. Are they the same? Are they different? ______________________________________________________________________________ ______________________________________________________________________________ Physics Lab 7 (Online Simulation) 8. Repeat steps 4 through 7 for Jupiter gravity Step 4: Time (t) = ______ s, Average Period (T) = ______ s Step 5: Period (T) = ______ s Step 7: _____________________________________________________________ 9. Using the spring constant you found in step 1 and the red and blue masses found in step 2, calculate the period of these masses. Tred = ______ s, Tblue = ______ s, Physics Lab 7 (Online Simulation) Follow-up Questions: 1. Calculate how far a spring with a constant of 20 will extend from its equilibrium position when pulled by a force of 160 N. 𝑥 = ____________ 2. How much force is required to stretch a spring (k = 12) 3.6 meters? F = ____________ 3. As mass on a spring increases, the period of motion (one full up and down) a. increases b. decreases c. remains the same. 4. As gravity on a spring increases (such as by putting it on Jupiter instead of Earth), the period of motion a. increases b. decreases c. remains the same. 5. As the spring constant increases, the period of motion a. increases b. decreases c. remains the same. 6. Amplitude is the displacement from the equilibrium position. a. True b. False 7. Calculate the period of 1.2 kg mass bouncing on a spring with a spring constant of 15. T = ______ Physics Lab 7 (Online Simulation) 8. Calculate the period of a 450 gram m

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