AP Physics Ch. 3 Practice

The vector in the figure that could represent the vector $\overrightarrow{\ A}\ -\ \overrightarrow{\ B}$  is

•  $\overrightarrow{\ 1}$  

•  $\overrightarrow{\ 2}$  

•  $\overrightarrow{\ 3}$  

•  $\overrightarrow{\ 4}$  

The angle between vectors  $\overrightarrow{\ A}$   and  $\overrightarrow{\ B}$  is 30°, and their sum is $\overrightarrow{\ C}$ . Which vector diagram correctly describes the vectors  $\overrightarrow{\ A},\ \overrightarrow{\ B\ }\ and\ \overrightarrow{\ C}$  ?

• A

• B

• C

• D

Two vector quantities, whose directions can be altered at will, can have a resultant of any magnitude between the limits 0 and 200. The magnitude of each vector quantity must therefore be

• between 0 and 80

• between 120 and 200

• less than 100

• exactly 100

What is the least number of unequal non-zero vectors that can be added to give a resultant equal to zero?

• 2

• 3

• 4

• 5

Which of the follow is NOT a vector?

• acceleration

• velocity

• displacement

• mass

The components of a vector $\overrightarrow{\ A}\$  are  $\overrightarrow{A_x}$  = –10 units and  $\overrightarrow{A_y}$   = 6 units. What angle does this vector make with the positive x axis?

• 31°

• -31°

• 180° - 31°

• 180° + 31°

Two vectors  $\overrightarrow{A}$ and  $\overrightarrow{B}$  are added to give a resultant  $\overrightarrow{R}$ . The components of  $\overrightarrow{A}$  are  $\overrightarrow{A_x}$  = –8.0 units and  $\overrightarrow{A_y}$  = 6.0 units, and the components of  $\overrightarrow{B}$  are  $\overrightarrow{B_x}$  = 1.0 units and  $\overrightarrow{B_y}$  = –1.0 units. The magnitude of vector  $\overrightarrow{R}$  is

• -1.0 unit

• +8.6 units

• +19 units

• +2.0 units

Vector  $\overrightarrow{A}$  has components  $\overrightarrow{A_x}$  = +4.0 units and  $\overrightarrow{A_y}$  = +3.2 units, whereas vector $\overrightarrow{B}$  has components  $\overrightarrow{B_x}$  = 2.5 units and  $\overrightarrow{B_y}$  = +5.5 units. The angle between the two vectors is

• 24°

• 65°

• 27°

• 39°

Vectors $\overrightarrow{A}$ and  $\overrightarrow{B}$  have the following components:
The magnitude of the vector  $\overrightarrow{A}-\overrightarrow{B}$  is

• 6.3 units

• 10.0 units

• 2.8 unit

• 8.2 units

Vectors $\overrightarrow{A}$ , $\overrightarrow{B}$  , $\overrightarrow{C}$  , and  $\overrightarrow{D}$  have the components shown. The magnitude of the resultant is

• -4.6 units

• 5.4 units

• 29 units

• 3.5 units