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Unit 3 Quiz#1

Equations:

displacement = velocity * time
distance = speed * time
Fnet = m * a

Directions: Follow the directions.

1. While Dexter is on a camping trip with his boy scout troop, the scout leader gives each boy a compass and a map. Dexter's map contains several sets of directions. One of the directions in Dexter's set reads

Walk 4 km north and then walk 8 km at 30° south of west.

In the space below, utilize the scale of 1 cm = 1 km and the head-to-tail addition method in order to determine the resultant displacement for this set of directions. Label the magnitude of each vector. Place arrowheads on each vector. Clearly label the resultant, along with its magnitude and direction. Construct a clear and accurate diagram.


Useful Web Links

Vectors and Direction (11 seconds)

Vector Addition (20 seconds)

Resultants (6 seconds)

 

2. Rosa Bote is navigating the Mississippi. Her boat can travel straight across the river with a velocity of 8.0 m/sec, East. On Tuesday, the river current was 3.0 m/sec, South.

  1. Use the Pythagorean theorem to determine the resultant velocity (both magnitude and direction) of the boat? PSYW

     

  2. If the river is 120 meters wide, then how much time did it take Rosa to cross the river? PSYW

     

  3. How far downstream will Rosa Bote be when she reaches the other side? PSYW

     

  4. How much time will it take the boat to go shore to shore on Wednesday if the current velocity is 1.5 m/s, South? Support your answer with a calculation or explanation.


Useful Web Links

Vectors and Direction (11 seconds)

Vector Addition (20 seconds)

Resultants (6 seconds)

Independence of Perpendicular Components of Motion (12 seconds)

 

 

3. A pack of Arctic wolves discover the carcass of a dead bear. A tug-of-war ensues as four wolves begin pulling in different directions upon the carcass. A top view of the four horizontal forces are shown in the sketch (unscaled) to the right. Assume that the vertical (up and down) forces (Fgrav and Fnorm) cancel each other out.

  1. Use some method of vector addition to determine the resultant (vector sum) of all four vectors. Clearly explain your work and show your calculations in the space below for full credit.

     

     

  2. Determine the acceleration of the 200-kg carcass at the instant shown in the diagram above. PSYW


Useful Web Links

Vectors and Direction (11 seconds)

Vector Addition (20 seconds)

Resultants (6 seconds)

Newton's Second Law of Motion (12 seconds)

 

 

4. Kent Findhisway, a visitor to the school, meets you in the doorway of the physics classroom (Room 159) and wants directions to the Autos Courtyard. Being entrenched in the subject of vectors, you decide to describe the necessary movement using a series of displacement vectors. Using complete sentences, describe the necessary displacements (magnitude and direction) which will take Kent through the hallways to the Autos courtyard. Use the diagram below and the indicated scale (1 cm = 5.0 m).

 


Useful Web Links

Vectors and Direction (11 seconds)

Vector Addition (20 seconds)

Resultants (6 seconds)

 

 

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Special thanks to lab assistant Carl Bobis for his assistance in converting quiz to HTML format.

© Tom Henderson, 1996-1999


Glenbrook South High School.

Last updated on 10/18/99.