1. Tuesday 5/19 PHYS 2010 Nathalie Hoffmann University of Utah

2. SI units Length: meter [m] Defined as distance traveled by light in vacuum in 1/299972458 s Time: second [s] Defined via emission of cesium atom Mass: kilogram [kg] Platinum-iridium alloy cylinder in Paris

3. Mass vs. weight Not the same thing Mass is an intrinsic property of an object Weight is the amount of force on an object due to gravity

4. Problem-solving Strategies What is the problem asking? Determine knowns and unknowns Determine concepts involved and equations required

5. Problem-solving Strategies Draw sketch Label all quantities Connect quantities via concepts and equations Solve for unknown Plug in numbers

6. Problem-solving Strategies Reflect: Does the answer make sense? What does it tell us?

7. Dimensional Analysis Method to check dimensions of your algebraic answer Key: dimensions (i.e. units) must be the same on both sides of an equation

8. Variables & Context

10. Scientific Notation Prefixes

11. Example Problems

12. More Problems

13. A partly full paint can has 0.67 U.S. gallons of paint left in it. (a) What is the volume of the paint in cubic meters? (1 gallon = 3.78 liter, 1 liter = 1000 cm 3 ) (b) If all the remaining paint is used to coat a wall evenly (wall area = 13 m 2 ), how thick is the layer of wet paint? Give your answer in meters. The speed of an object and the direction in which it moves constitute a vector quantity known as the velocity. An ostrich is running at a speed of 17.0 m/s in a direction of 68.0° north of west. What is the magnitude of the ostrich's velocity component that is directed (a) due north and (b) due west?

14. More Problems The drawing shows a force vector that has a magnitude of 475 Newtons. Find the (a) x, (b) y, and (c) z components of the vector. What are the x and y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the +x direction, and due north is the +y direction.

15. More Problems Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1080 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1950 m and then turns and heads directly toward the campground. (a) At the turning point, how far is the second cyclist from the campground? (b) In what direction (measured relative to due east) must the second cyclist head during the last part of the trip?