1. Vector Addition
Practice Problems

2. What is his displacement? What single vector would take him back home?
Problem 1
José decided to go for a long bike ride.
He left home and rode for 15.0 km, 23.5° SE
Then turned and rode for 11.8 km, 78.2° SE
Then turned and rode for 5.6 km, 15.3° SW
Then turned and rode for 7.5 km due West
He then rode 25.6 km, 67.5 ° NW.
What is his displacement?
What single vector would take him back home?

3. Problem 2
Aladdin and Abu were moving a crate by sliding it across the floor. If Aladdin pushed on the box with a force of 525 N, and Abu “helped” with a force of 113 N as shown in the diagram below, what is the net (resultant) force they applied to the box (ignore effects of friction)
FAladdin
FAbu
34.5°
13.5°

4. Problem 3
A curling stone, sliding across the ice with a momentum of 72.0 kg m s-1 , 15.0° to the right of a center line and collides with another curling stone that was moving with a momentum of 12.0 kg m s-1, 23.0° to the left of the center line.
What is the total momentum (sum) of the two stones?

5. Problem 4
Schroëdinger decided to go for a stroll while contemplating the universe. He started at home, and walked 1.25 km NE before he turned down a pathway that led him 0.75 km, 14.5°NE. He then turned up a road that he followed for 2.60 km at 75.0°NW before finally following a road that took him 1.85 km, 23.5° SW, where he found a park bench. How far from home is he?

6. Problem 5
Aaron, Daniel, Ashley, and Taylor all pulled on ropes attached to a tire:
Aaron: 375 N, 88° counter-clockwise from +x-axis
Daniel: 525 N, 115° counter-clockwise from +x-axis
Ashley, 415 N, 187° counter-clockwise from +x-axis
Taylor, 365 N, 315° counter-clockwise from +x-axis
What Force (and direction) should Nishu pull on the 5th rope in order to keep the tire stationary (net (resultant) force = 0 N)?

7. Problem 6
An airplane is flying at 575 km/h, 75° NE. If it encounters a cross wind that is 150. km/h, blowing at 37° SE, what is the net velocity of the plane?