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TABLE OF CONTENTS Introduction INTRO - 1 Laboratory 0: Determining an Equation for a Function from a Graph 0 - 1 Laboratory I: Forces and Equilibrium Problem #1: Springs and Equilibrium I Problem #2: Springs and Equilibrium II Problem #3: Forces and Liquids Problem #4: Leg Elevator Problem #5: Equilibrium in a Walkway Problem #6: Designing a Mobile Problem #7: Mechanical Arm Check Your Understanding Laboratory I Cover Sheet I I I I I I I I I I - 1 2 8 11 14 17 20 22 24 25 II II II II II II II II II II - 1 2 7 11 15 18 22 25 26 27 Laboratory III: Potential Energy Problem #1: Elastic and Gravitational Energy Problem #2: Using Potential Energy Problem #3: Pendulum Laboratory III Cover Sheet III III III III III - 1 2 5 6 9 Laboratory IV: Oscillations Problem #1: Measuring Spring Constants Problem #2: Oscillation Frequency with Two Springs Problem #3: Oscillation Frequency of an Extended System Problem #4: Driven Oscillations Problem #5: Simple Pendulum Check Your Understanding Laboratory IV Cover Sheet IV IV IV IV IV IV IV IV - 1 2 5 8 11 14 17 19 Laboratory II: Force and Conservation of Energy Problem #1: Constant Velocity Motion Problem #2: Falling Problem #3: Motion Down an Incline Problem #4: Normal Force and Frictional Force Problem #5: Velocity and Force Problem #6: Collisions Table of Coefficients of Friction Check Your Understanding Laboratory II Cover Sheet Laboratory V: Predicting Non-repetitive Motion Problem #1: Motion in a Fluid Problem #2: Motion Up and Down an Incline Problem #3: Circular Motion Problem #4: Two-Dimensional Motion Problem #5: Bouncing Check Your Understanding Laboratory V Cover Sheet V V V V V V V V - 1 2 4 8 11 14 17 19 Laboratory VI: Energy and Thermal Processes Problem #1: Power and Temperature Change Problem #2: Specific Heat of Simple Objects Problem #3: Specific Heat of Complex Objects Problem #4: Mechanical Energy and Temperature Change Problem #5: Energy Cycles and Efficiency Table: Thermal Properties Laboratory VI Cover Sheet VI VI VI VI VI VI VI VI - 1 2 5 8 11 15 19 21 Appendix A: Equipment Appendix B: Significant Figures Appendix C: Accuracy, Precision and Uncertainty Appendix D: Video Analysis of Motion Appendix E: Sample Lab Report Appendix F: Simulation Programs A B C D E F - 1 1 1 1 1 1 Acknowledgments Much of the work to develop this problem solving laboratory was supported by the University of Minnesota and the National Science Foundation. We would like to thank all the people who have contributed directly to the development of this laboratory manual: Heather Brown Kaiyan Gao Andrew Kunz Michael Myhrom Hao Wang Zhaoliang Pan Tom Thaden-Koch Tao Hu Andy Ferstl Charles Henderson Vince Kuo Jeremy Paschke Paul Barsic Yousi Ma Yves Adjallah Maribel Núñez V. Tom Foster Ted Hodapp Laura McCullough Leon Steed Yaroslav Lutsyshyn Rhonald Lua Matthew Fritts Ivan Gordeli And all of the faculty and graduate students who helped to find the 'bugs' in these instructions. Kenneth & Patricia Heller © Kenneth Heller & Patricia Heller