Writer’s choice

read the sections of the textbook that deal with the material covered

For this assignment, you should have read sections 3-1 and 3-2 of the text. Vectors are

an important mathematical concept so you will be able to nd plenty of additional material

of the appropriate level. It might also be helpful for you to track down, and read, some of

this material.

Note: some of this material may not have been covered in class before the assignment

is posted, this material will be covered before the assignment is due. Do not wait for all

the material to have been covered to start the assignment, read the sections already covered

and attempt the problems and questions dealing with this material before moving on

ASSIGNMENT CONCEPTUAL QUESTIONS

These questions are to be answered with a short paragraph. You will be graded on the

physics content of your answer as well as on its structure and conciseness. Remember, as

with everything, neatness counts.

1. If ~V

= ~V

1 + ~V

2, is j~V

j necessarily greater than j~V

1j and/or j~V

2j? Discuss.

2. On page 79 of Serway & Vuille question 2.

ASSIGNMENT PROBLEMS

These problems are to be answered with detailed calculations. You will be graded on the

physics content of your answer as well as on its structure, completeness and mathematical

correctness. Remember, as with everything, neatness counts.

1. Find the x and y components of the vectors ~A

, ~B

, ~C

, and ~D

, where their magnitudes

are given by j~ Aj = 64, j~B

j = 55, j~C

j = 7:0, j~D

j = 73 and their angles are as shown in

the gure below. When the components have been determined, write the vectors in

terms of their components.

2. On page 81 of Serway & Vuille problem 15

3. On page 81 of Serway & Vuille problem 17

4. Two vectors ~a and ~b have equal magnitudes of 28.4 units. They are oriented as shown

in the gure below and their vector sum is ~r. Find

3

(a) the x and y components of ~r,

(b) the magnitude of ~r, and

(c) the angle ~r makes with the positive x-axis.

EXAM PREPARATION PROBLEMS

Exam preparation problems are not to be handed in for marking. They are problems

intended to help students study. These problems, or similar problems, may appear on exams.

While solutions to these problems will be provided students are strongly encouraged to work

on these before the solutions are posted. Physics education research has shown that simply

studying solutions has almost no educational benet.

On page 80 of Serway & Vuille problem 11

On page 81 of Serway & Vuille problem 13

On page 81 of Serway & Vuille problem 19

On page 81 of Serway & Vuille problem 21