Question: Worksheet - Exp 2: Vector Addition Part 1 Objective: The objective of this lab is to add vectors using the graphical head-to-tail) method and to verify the results using the component method You will need both a ruler and proctrator to complete this worksheet. If you do not own one or both of these items, you can google "printable ruler" and "printable

Worksheet - Exp 2: Vector Addition Part 1 Objective: The objective of this lab is to add vectors using the graphical head-to-tail) method and to verify the results using the component method You will need both a ruler and proctrator to complete this worksheet. If you do not own one or both of these items, you can google "printable ruler" and "printable protractor" and find something that you can print and cut out, or there are apps available for both iphone and android which will serve this purpose as well. Procedure: Part 1: Adding 2 Vectors With Easy Angles 1. Sara leaves her home and walks 2.5 km north, then 3. Add these vectors mathematically using the com- 5.0 km west Tum 2 km penent method and determine the resultant vector 2. Draw these vectors to scale on the coordinate axis (You may need to use a separate piece of paper) (5 below and determine the resultant vector using the points) tail-to-head graphical method. Determine and indi- A=2.5 km @ 90°= 2.500s (90) & 1250 cate the standard position angles and draw both vec- 190) tors from the origin before adding. (5 points) 2.8*2=6.6 ū -5.6km(14) 90'n 2.500s (90)2 + 2.5 sin(90) 9 2:5 5x + 2.69 = AS À 0 ° 900 W. E ho 4. Compare the values you found for the magnitude and direction of the resultant vector using the appropriate • equation. (5 points) 1801 360° $ 2700 5. If she now wants to return home, what vector describes the shortest path she could take? (5 points) Magnitude: Direction: 6. After she walks along the vector you described in the previous step, what will her displacement be? How about her path length? (5 points) Displacement: Path Length: Part 2: Adding 2 Vectors With Less Convenient Angles 9. Add these vector mathematically using the com penent method and determine the resultant vector (You may need to use a separate piece of paper) (5 points) 7. Dave leaves his home and walks 1.3 km at 40.0 de grees north of cast, then 2.7 km at 20 degress west of south 8. Draw these vectors to scale on the coordinate axis below and determine the resultant vector using the tail-to-head graphical method. Determine and indi- cate the standard position angles and draw both vec tors from the origin before adding. points) 10. Compare the values you found for the magnitude and direction of the resultant vector using the appropriate equation. (5 points) 11. If he now wants to return home, what vector describes the shortest path he could take? (5 points) Magnitude: Direction: 12. After he walks along the vector you described in the previous step, what will his displacement be? How about her path length? (5 points) Displacement: Path Length: