Download Physics Study Guide Advanced Vectors Solve the following

Physics
Study Guide
Advanced Vectors
Solve the following problems.
1. You walk 30m south and 30m east. Compute the resultant.
2. What should be the angle between two vectors of magnitudes 3.20 and 5.70
units, so that their resultant has a magnitude of 6.10 units?
3. A small plane takes off and flies 12.0 km in a direction southeast of the airport. At
this point, following the instructions of an air traffic controller, the plane turns
20.0° to the east of its original flight path and flies 21.0 km. What is the
magnitude of the plane’s resultant displacement from the airport? Use diagram
below.
4. To get a cart to move, two farmers pull on ropes attached to the cart, as shown
below. One farmer pulls with a force of 50.0 N in a direction 35.0° east of north,
while the other exerts a force of 30.0 N in a direction 25.0° west of north. What
are the magnitude and the direction of the combined force exerted on the cart?
5. What is the magnitude of the resultant displacement of a dog looking for its bone
in the yard if the dog first heads 55.0o north of west for 10.0 m and then turns and
heads west for 5.00 m?
6. A hiker walks 4.5 km at an angle of 45.0o north of west. Then the hiker walks 4.5
km south. What is the magnitude of the hiker’s total displacement?
7. While grazing, a caribou treks 125 m at 35.0o
west. What is the caribou’s resultant displacement?
8. A hockey puck travels 2.00 m at 10.0o east of south before ricocheting 2.50 m at
75.0° north of east. What is the puck’s resultant displacement?
9. Bob is pulling on a rope attached to a log with 83N of force. Jake is pulling on a
rope attached to the same log with 92N of force. Bob pulls the rope at an angle
of 37o to the log. Jake pulls the rope at an angle of 125o . Find the resultant of
the two forces.
10. A sign is hanging by two ropes. One rope is at a 48o with the sign and has a
tensional force of 43N. The second rope is at a 53o with the sign and has a
tensional force of 82N. How much does the sign weigh?
Key
1. 42.43m @ 45o E of S
2. 81.29o
3. 32.5 km @ 58.29o E of S
4. 70N @ 76.8o N of E
5. 13.5 m @ 41.11o N of W
6. 3.44km @ 22.53o S of W
7. 204.22m @ 59.9o W of S
8. 1.09 m at 24.09oN of E
9. 126.04N at 83.84o
10. 99.59N