Question 1

The components of vector  are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector 
?

Accepted Answer

A)  314° 
B)  134° 
C)  224° 
D)  136° 
E)  46.0°

Question 2

If an operatic aria lasts for 5.75 min, its length expressed in seconds is x s, where x is

Accepted Answer

A)  less than 5.75. 
B)  greater than 5.75.

Question 3

A certain CD-ROM disk can store approximately 6.0 × 102 megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

Accepted Answer

A)  6.7 × 107 words 
B)  5.4 × 109 words 
C)  2.1 × 107 words 
D)  2.0 × 109 words

Question 4

For the vectors shown in the figure, express vector  
in terms of vectors   and   .

Accepted Answer

The answer of For the vectors shown in the figure,...

Question 5

The components of vector  are Bx = -3.5 and By = -9.7, and the components of vector 
Are Cx = -6 and Cy = +8.1. What is the angle (less than 180 degrees) between vectors 
And  ?

Accepted Answer

A)  124° 
B)  56° 
C)  17° 
D)  163° 
E)  106°

Question 6

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10-6 m. Express this wavelength in nanometers.

Accepted Answer

A)  3.5 × 102 nm 
B)  3.5 × 103 nm 
C)  3.5 × 101 nm 
D)  3.5 × 104 nm

Question 7

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is, the "rise" is 2% of the "run"). What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Accepted Answer

A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s

Question 8

In the figure, the magnitude of vector   is 18.0 units, and the magnitude of vector   is 12.0 units. What vector   must be added to the vectors   and   so that the resultant of these three vectors points in the -x direction and has a magnitude of 7.50 units? Use vector components to find your answer, and express vector  
by giving its magnitude and the angle it makes with the +x-axis taking counterclockwise to be positive.

Accepted Answer

The answer of In the figure, the magnitude of vector...

Question 9

Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?

Accepted Answer

A)  2 × 102 
B)  2 × 103 
C)  2 × 104 
D)  2 × 105 
E)  2 x 106

Question 10

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

Accepted Answer

A)  1 
B)  1.3 
C)  1.26 
D)  1.260 
E)  1.2600

Question 11

For the vectors shown in the figure, assume numbers are accurate to two significant figures. The scalar product  × 
Is closest to

Accepted Answer

A)  zero. 
B)  16. 
C)  45. 
D)  -16. 
E)  -45.

Question 12

Approximately how many times does an average human heart beat in a year?

Accepted Answer

A)  4 × 105 
B)  4 × 106 
C)  4 × 107 
D)  4 × 108 
E)  4 × 109

Question 13

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

Accepted Answer

A)  1.13 × 103 
B)  1133.3000 
C)  1.1 × 103 
D)  1133.3 
E)  1133

Question 14

The speed of a wave pulse on a string depends on the tension, F, in the string and the mass per unit length, μ, of the string. Tension has SI units of kg · m · s-2 and the mass per unit length has SI units of kg · m-1. What combination of F and μ must the speed of the wave be proportional to?

Accepted Answer

A)  F / μ 
B)  μ / F 
C)   
D)   
E)

Question 15

0.00325 × 10-8 cm can also be expressed in mm as

Accepted Answer

A)  3.25 × 10-12 mm. 
B)  3.25 × 10-11 mm. 
C)  3.25 × 10-10 mm. 
D)  3.25 × 10-9 mm. 
E)  3.25 × 10-8 mm.

Question 16

You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started?

Accepted Answer

A)  87 m 
B)  50 m 
C)  94 m 
D)  46 m

Question 17

Vectors  and  Are shown in the figure. Vector  Is given by  =  -  ) The magnitude of vector  Is 16.0 units, and the magnitude of vector  Is 7.00 units. What is the angle of vector  , measured counterclockwise from the +x-axis?

Accepted Answer

A)  16.9° 
B)  22.4° 
C)  73.1° 
D)  287° 
E)  292°

Question 18

Vector  
has a magnitude of 5.5 cm and points along the x-axis. Vector  
has a magnitude of 7.5 cm and points at +30° above the negative x-axis.
(a) Determine the x and y components of Vector  .
(b) Determine the x and y components of Vector  .
(c) Determine x and y components of the sum of these two vectors.
(d) Determine the magnitude and direction of the sum of these two vectors.

Accepted Answer

The answer of Vector  
has a magnitude of 5.5...

Question 19

Vectors  and 
Are shown in the figure. Vector 
Is given by  =  -  ) The magnitude of vector  Is 16.0 units, and the magnitude of vector  Is 7.00 units. What is the magnitude of vector  ?

Accepted Answer

A)  9.00 
B)  9.53 
C)  15.5 
D)  16.2 
E)  17.5

Question 20

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

Accepted Answer

A)  5 × 102 
B)  5 × 103 
C)  5 × 104 
D)  5 × 105 
E)  5 x 106

Exam 1: Units, Physical Quantities, and Vectors

The components of vector are A_x = + 3.90 and A_y = -4.00. What is the angle measured counterclockwise from the +x-axis to vector ?

If an operatic aria lasts for 5.75 min, its length expressed in seconds is x s, where x is

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

For the vectors shown in the figure, express vector in terms of vectors and .

The components of vector are B_x = -3.5 and B_y = -9.7, and the components of vector Are C_x = -6 and C_y = +8.1. What is the angle (less than 180 degrees) between vectors And ?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is, the "rise" is 2% of the "run") . What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

For the vectors shown in the figure, assume numbers are accurate to two significant figures. The scalar product × Is closest to

Approximately how many times does an average human heart beat in a year?

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

The speed of a wave pulse on a string depends on the tension, F, in the string and the mass per unit length, μ, of the string. Tension has SI units of kg · m · s^-2 and the mass per unit length has SI units of kg · m^-1. What combination of F and μ must the speed of the wave be proportional to?

0.00325 × 10^-8cm can also be expressed in mm as

You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started?

Vectors and Are shown in the figure. Vector Is given by = - ) The magnitude of vector Is 16.0 units, and the magnitude of vector Is 7.00 units. What is the angle of vector , measured counterclockwise from the +x-axis?

Vectors and Are shown in the figure. Vector Is given by = - ) The magnitude of vector Is 16.0 units, and the magnitude of vector Is 7.00 units. What is the magnitude of vector ?

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

Exam 1: Units, Physical Quantities, and Vectors

The components of vector are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector ?

If an operatic aria lasts for 5.75 min, its length expressed in seconds is x s, where x is

A certain CD-ROM disk can store approximately 6.0 × 102 megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

For the vectors shown in the figure, express vector in terms of vectors and .

The components of vector are Bx = -3.5 and By = -9.7, and the components of vector Are Cx = -6 and Cy = +8.1. What is the angle (less than 180 degrees) between vectors And ?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10-6 m. Express this wavelength in nanometers.

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is, the "rise" is 2% of the "run") . What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Approximately how many pennies would you have to stack to reach an average 8-foot ceiling?

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

For the vectors shown in the figure, assume numbers are accurate to two significant figures. The scalar product × Is closest to

Approximately how many times does an average human heart beat in a year?

What is the sum of 1123 and 10.3 written with the correct number of significant figures?

The speed of a wave pulse on a string depends on the tension, F, in the string and the mass per unit length, μ, of the string. Tension has SI units of kg · m · s-2 and the mass per unit length has SI units of kg · m-1. What combination of F and μ must the speed of the wave be proportional to?

0.00325 × 10-8 cm can also be expressed in mm as

You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from where you originally started?

Vectors and Are shown in the figure. Vector Is given by = - ) The magnitude of vector Is 16.0 units, and the magnitude of vector Is 7.00 units. What is the angle of vector , measured counterclockwise from the +x-axis?

Vectors and Are shown in the figure. Vector Is given by = - ) The magnitude of vector Is 16.0 units, and the magnitude of vector Is 7.00 units. What is the magnitude of vector ?

Estimate the number of pennies that would fit in a box one foot long by one foot wide by one foot tall.

The components of vector are A_x = + 3.90 and A_y = -4.00. What is the angle measured counterclockwise from the +x-axis to vector ?

A certain CD-ROM disk can store approximately 6.0 × 10² megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 9.0 bytes of storage, how many words can be stored on one disk?

The components of vector are B_x = -3.5 and B_y = -9.7, and the components of vector Are C_x = -6 and C_y = +8.1. What is the angle (less than 180 degrees) between vectors And ?

The wavelength of a certain laser is 0.35 micrometers, where 1 micrometer = 1 × 10^-6 m. Express this wavelength in nanometers.

0.00325 × 10^-8cm can also be expressed in mm as