(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is 9.79 m/s2 is moved to a location where it the acceleration due to gravity is 9.82 m/s2 . What is its new period? (b) Explain why so many digits are needed in the value for the period, based on the relation between the period and the acceleration due to gravity
Chapter 1 Notes, Science: Scientific notation: 0.00003m -> 3 x 10^-5 (if you move the decimal point behind the three you have moved it 5 times, and because you went to the right it is considered to be moved -5 spots.) Science: o How things work o explain what happens or what it is in terms of fundamental principles or ideas o describes what is observed in the natural world 2 Kinds of reasoning: 1. Deduction: starting from some hypothesis (starting ideas), you make “predictions” about what should be observed 2. Induction: starting with some observations, you can eventually produce an explanation (hypothesis) for it. “Cycle of Science” o data -> induction -> hypothesis -> deduction -> prediction -> experiment -> new data o you start with some data, which you then go through the induction processes of making some observations, which helps to get a hypothesis, and then you go through the deduction process after you have a hypothesis, then you start making some predictions based on what you observed, then you have an experiment, and start over again. Hypothesis: tentative conjecture (opinion or conclusion formed on the basis of incomplete information) Theory: a consistent set of definitions, data, or well tested hypothesis that can explain some aspects of the natural world. 3 things we look for in a scientific hypoth