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Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment)

Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment). Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment) My PowerPoint lecture notes available on-line www.physics.umanitoba.ca/~ens/16.102lectures.html

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Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment)

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  1. Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment)

  2. Werner Ens 518 Allen Office Hours: Monday 2 - 6 pm (or by appointment) My PowerPoint lecture notes available on-line www.physics.umanitoba.ca/~ens/16.102lectures.html (Complete lecture notes prepared last year by Professor Birchall are available at the course web site)

  3. Quiz • Which arrows correctly represent acceleration? (a) (b) (c) (d) (e)

  4. (a) (b) (c) (d) Quiz 2. Which is the trajectory after the line is cut?

  5. Quiz 3. What happens to an astronaut if his tether to an orbiting space station is cut? (a) Stays with space station (b) Falls behind in orbit (c) Falls to earth (d) Lost in space (moves away) (e) Remains stationary with respect to the sun

  6. Quiz 4. What happens if an astronaut releases a ball while standing on the moon? (a) It falls to the ground (moon) (b) It rises (c) It stays where it is released (d) Moves horizontally (moon’s horizon)

  7. Quiz solutions • Which arrows correctly represent acceleration? (a) (b) (c) (d) (e)

  8. (a) (b) (c) (d) Quiz solutions 2. Which is the trajectory after the line is cut?

  9. Quiz solutions 3. What happens to an astronaut if his tether to an orbiting space station is cut? (a) Stays with space station (b) Falls behind in orbit (c) Falls to earth (d) Lost in space (moves away) (e) Remains stationary with respect to the sun

  10. Quiz solutions 4. What happens if an astronaut releases a ball while standing on the moon? (a) It stays where it is (b) It rises (c) It falls to the ground (moon) (d) Moves horizontally (moon’s horizon)

  11. Quiz solutions 1 d, 2 b, 3 a, 4 c

  12. Chapter 1 Introduction Mathematical Concepts

  13. m 10 m 1) Representation of physical quantities • Arithmetic is abstract: 10 - 5 = 5 • A physical quantity (distance) requires comparison to a standard:L = 10 is meaningless • A physical quantity is an algebraic product of a number and a unit: L = 10 m

  14. 2) Units combine algebraically; Dimensional Analysis

  15. 2) Units combine algebraically; Dimensional Analysis

  16. y (N) 35º 20º x (E) Example: Vector Addition • Jogger runs 145 m 20.0º East of North • Displacement vector A • Then 105 m 35.0º South of East • Displacement vector B • Find resultant displacement C=A+B Step 0: Draw a picture & organize data

  17. Example: Vector Addition • Step 1: Convert to component representation y (N) 20º x (E)

  18. 35º Example: Vector Addition • Step 1: Convert to component representation y (N) x (E)

  19. y (N) 35º 20º x (E) Example: Vector Addition • Step 2: Sum components

  20. Example: Vector Addition • Step 3: Convert result to geometric representation (magnitude, direction) y (N) x (E)

  21. Example: Vector Addition • Step 3: Convert to geometric representation (magnitude, direction) y (N) x (E)

  22. Example: Vector Addition • Step 3: Convert to geometric representation (magnitude, direction) y (N) x (E)

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