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Physics Problem Solving: Introduction, Units, Trigonometry, Vectors

This chapter covers the basics of physics problem solving, including understanding the question, simplifying the problem, trying different approaches, and checking if the answer makes sense. It also introduces units, SI units and prefixes, dimensional analysis, trigonometry with right triangles, and vector operations.

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Physics Problem Solving: Introduction, Units, Trigonometry, Vectors

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  1. Cover: 1.1-1.9 Chapter 1 – Introduction and Math Concepts

  2. 4 STEPS TO PROBLEM SOLVING • UNDERSTAND the question. 2. SIMPLIFY(draw a picture, weed out the inconsequentials) 3. TRY!! (this requires thinking AND writing; don’t give up completely, but breaks are good!) 4. Does the answer MAKE SENSE? If it doesn’t, it’s probably wrong.

  3. 1.1 – The Nature of Physics 1.2 – Units SI Units (kilogram, meter, second) Metric Prefixes (Kilo, Centi, Milli, Micro, Nano, etc) Do the prefix scale on the board…

  4. 1.3 – The Role of Units in Problem Solving Know how to convert units (Conversion Factors!!) Example 1: Convert 55 mi/hr to m/s. Example 2: Convert 60 p.s.i. to kg/cm2 Dimensional Analysis (pg. 6)

  5. 1.4 – Trigonometry Right triangles ONLY

  6. 1.4 – Trigonometry Example 3: How tall is the building? Be sure your calculator is in degree mode!

  7. 1.4 – Trigonometry Example 4: At what angle does the lakefront drop off?

  8. 4 STEPS TO PROBLEM SOLVING • UNDERSTAND the question. 2. SIMPLIFY(draw a picture, weed out the inconsequentials) 3. TRY!! (this requires thinking AND writing; don’t give up completely, but breaks are good!) 4. Does the answer MAKE SENSE? If it doesn’t, it’s probably wrong.

  9. ASSIGNMENT: Chapter 1Read: 1.1 – 1.4Answer: Problems #1 – 4; 11,12,16,17 on pg. 21/22ALSO – Signed Syllabus.

  10. 1.5 – Scalars & Vectors Scalar – measurement with a single number (magnitude) Vector – measurement with a magnitude and a direction. tail head

  11. 1.5 – Scalars & Vectors Vectors are… drawn to scale, printed in bold or with an arrow above.

  12. 1.5 – Scalars & Vectors 2 Ways to Express Vectors 1) magnitude-angle form 2) x-y component form

  13. 1.6 – Adding & Subtracting Vectors Vectors are added ‘tail-to-head’ to form a Resultant (R). A & B are colinear; R is no problem

  14. 1.6 – Adding & Subtracting Vectors A & B are perpendicular; R is no problem

  15. 1.6 – Adding & Subtracting Vectors A & B are neither colinear nor perpendicular; what is R?

  16. 1.7 – The Components of a Vector All vectors can be resolved (broken down) into x and y components (parts)

  17. 1.8 – Adding and Subtracting Vectors II 2 methods of adding/subtracting vectors that are NOT colinear or perpendicular. 1) Graphical (draw to scale, use ruler & protractor) 2) Analytical (resolve each vector into components and add)

  18. 1.8 – Adding and Subtracting Vectors II Example: Determine the resultant of these two vectors. A = 145m @ 20.0° E of N B = 105m @ 35.0° S of E 1. Draw a rough sketch of the 2 vectors placed ‘tail-to-head’ 2. Break each vector into X and Y components. 3. Add the X’s and Y’s together.

  19. ASSIGNMENT: Chapter 1Read 1.5 – 1.8,Answer Problems #21,24,25,31,32, 33,36,42

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