Question 1

A driver from Canada enters the U.S.The posted speed limit is 45 mph.What is this posted speed limit in km/h?

Accepted Answer

A) 31 
B) 45 
C) 53 
D) 67 
E) 72 
A) 31 
B) 45 
C) 53 
D) 67 
E) 72 E

Question 2

and   have the same magnitude v.The direction of   is north and the direction of   is 60 degrees west of south.What is the magnitude of   -   ?

Accepted Answer

A) zero 
B) v 
C)    
D) 2v 
A) zero 
B) v 
C)    
D) 2v C

Question 3

The radius of the Earth is 6.38 * 106 m.The Earth's radius in miles is

Accepted Answer

A) 27000 miles. 
B) 10200 miles. 
C) 24900 miles. 
D) 7940 miles. 
E) 3970 miles. 
A) 27000 miles. 
B) 10200 miles. 
C) 24900 miles. 
D) 7940 miles. 
E) 3970 miles. E

Question 4

What is the volume of a box that has dimensions 3.50 cm * 1.000 cm * 4.000 cm?

Accepted Answer

A) 49.0 cm 
B) 14 cm3 
C) 14.0 cm3 
D) 14.00 cm3 
A) 49.0 cm 
B) 14 cm3 
C) 14.0 cm3 
D) 14.00 cm3

Question 5

The speed limit on your street is 35 mi/hr.What is this speed in m/s?

Accepted Answer

A) 16 m/s 
B) 22 m/s 
C) 56 m/s 
D) 78 m/s 
A) 16 m/s 
B) 22 m/s 
C) 56 m/s 
D) 78 m/s

Question 6

The vector   = (Ax ,Ay)= ( +7.07 m,+7.07 m)and the vector   = (Bx ,By)= ( +5.00 m,+8.66 m).What is the magnitude of the angle between the vectors   and   ?

Accepted Answer

A) 15S1U1P1$\circ$S1S1P0 
B) 30S1U1P1$\circ$S1S1P0 
C) 45S1U1P1$\circ$S1S1P0 
D) 60S1U1P1$\circ$S1S1P0 
E) 75S1U1P1$\circ$S1S1P0 
A) 15S1U1P1$\circ$S1S1P0 
B) 30S1U1P1$\circ$S1S1P0 
C) 45S1U1P1$\circ$S1S1P0 
D) 60S1U1P1$\circ$S1S1P0 
E) 75S1U1P1$\circ$S1S1P0

Question 7

A vector   with magnitude 25.0 m points along the positive x direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

Accepted Answer

A) Ax = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 sin 310S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 310S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 cos 310S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 310S1U1P1$\circ$S1S1P0 
A) Ax = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 
B) Ax = 25.0 cos 50.0S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 50.0S1U1P1$\circ$S1S1P0 
C) Ax = 25.0 sin 310S1U1P1$\circ$S1S1P0 and Ay = 25.0 cos 310S1U1P1$\circ$S1S1P0 
D) Ax = 25.0 cos 310S1U1P1$\circ$S1S1P0 and Ay = 25.0 sin 310S1U1P1$\circ$S1S1P0

Question 8

What is the ratio of the Earth's density to that of Venus? Their radii are 6378 km and 6051 km,and their masses 5.97 *1024 kg and 4.87 * 1024 kg,respectively.

Accepted Answer

A) 0.96 
B) 1.05 
C) 1.16 
D) 1.44 
A) 0.96 
B) 1.05 
C) 1.16 
D) 1.44

Question 9

Vector   has a length of 5 and an angle of 30S1U1P1$\circ$S1S1P0 with respect to the positive x-axis.Vector   has a length of 5 and an angle of 150F1F1F1S1F1F1F10 with respect to the positive x-axis.What is the angle with respect to the positive x-axis for the vector   ?

Accepted Answer

A) 90S1U1P1$\circ$S1S1P0 
B) 0S1U1P1$\circ$S1S1P0 
C) 135S1U1P1$\circ$S1S1P0 
D) 180S1U1P1$\circ$S1S1P0 
E) 30S1U1P1$\circ$S1S1P0 
A) 90S1U1P1$\circ$S1S1P0 
B) 0S1U1P1$\circ$S1S1P0 
C) 135S1U1P1$\circ$S1S1P0 
D) 180S1U1P1$\circ$S1S1P0 
E) 30S1U1P1$\circ$S1S1P0

Question 10

What is the magnitude and direction (with respect to the positive x axis)of the vector   ?

Accepted Answer

A) 4.61 @ 36.7S1U1P1$\circ$S1S1P0 
B) 4.6 @ -37S1U1P1$\circ$S1S1P0 
C) 4.6 @ 37S1U1P1$\circ$S1S1P0 
D) 4.6 @ 143S1U1P1$\circ$S1S1P0 
A) 4.61 @ 36.7S1U1P1$\circ$S1S1P0 
B) 4.6 @ -37S1U1P1$\circ$S1S1P0 
C) 4.6 @ 37S1U1P1$\circ$S1S1P0 
D) 4.6 @ 143S1U1P1$\circ$S1S1P0

Question 11

A spherical balloon has a radius of 20 cm.It starts losing air and its radius shrinks at a rate of 1 cm/s.What is the rate of change of the balloon's volume when its radius reaches 5 cm?

Accepted Answer

A) -3.14 * 10-4 m3/s 
B) -3.14 m3/s 
C) -1 * 10-4 m3/s 
D) -5 * 10-4 m3/s 
E) -3.14 * 10-2 m3/s 
A) -3.14 * 10-4 m3/s 
B) -3.14 m3/s 
C) -1 * 10-4 m3/s 
D) -5 * 10-4 m3/s 
E) -3.14 * 10-2 m3/s

Question 12

Vector   points along the y axis with length 5.0,vector   makes an angle of 55S1U1P1$\circ$S1S1P0 with respect to the x-axis and has a length of 7.0.What is the length of vector   ?

Accepted Answer

A) 8.6 
B) 15. 
C) 11. 
D) 12. 
E) 9.3 
A) 8.6 
B) 15. 
C) 11. 
D) 12. 
E) 9.3

Question 13

A CD that is 0.75 mm thick has outer diameter of 128 mm and inner diameter of 15 mm.The volume of the CD is

Accepted Answer

A) 1920 mm3. 
B) 5300 mm3. 
C) 9520 mm3. 
D) 38079 mm3. 
A) 1920 mm3. 
B) 5300 mm3. 
C) 9520 mm3. 
D) 38079 mm3.

Question 14

If vector   and vector   ,where   and   are the units vectors along the x and the y directions respectively.If   ,calculate the angle vector   makes with respect to the +x axes.

Accepted Answer

A) -84º 
B) -96º 
C) 84º 
D) 96º 
E) -6º 
A) -84º 
B) -96º 
C) 84º 
D) 96º 
E) -6º

Question 15

A right cylinder has a cross sectional area of 25.0 cm2 and a height of 50.0 cm.What is the volume of the cylinder in SI units?

Accepted Answer

A) 0.000125 m3 
B) 0.00125 m3 
C) 0.0125 m3 
D) 0.125 m3 
E) 1.250 m3 
A) 0.000125 m3 
B) 0.00125 m3 
C) 0.0125 m3 
D) 0.125 m3 
E) 1.250 m3

Question 16

A string with a length of 13.1 m is tightly tied between two trees.The second tree is some distance east and north of the first tree.If the second tree is 9.8 m east of the first tree,how far north of the first tree is the second tree?

Accepted Answer

A) 3.3 m 
B) 6.6 m 
C) 8.7 m 
D) 11.5 m 
E) 22.9 m 
A) 3.3 m 
B) 6.6 m 
C) 8.7 m 
D) 11.5 m 
E) 22.9 m

Question 17

The number of centimeters in 2.50 miles is

Accepted Answer

A) 4.02 * 105 cm. 
B) 1.56 * 105 cm. 
C) 4.02 * 103 cm. 
D) 2.54 * 104 cm. 
E) 8.95 * 106 cm. 
A) 4.02 * 105 cm. 
B) 1.56 * 105 cm. 
C) 4.02 * 103 cm. 
D) 2.54 * 104 cm. 
E) 8.95 * 106 cm.

Question 18

A farmer has a field which is 0.50 km in length and 0.70 km in width.What is the area of his field?

Accepted Answer

A) 0.35 km2 
B) 3.5 km2 
C) 35 km2 
D) 3.5 * 102 km2 
A) 0.35 km2 
B) 3.5 km2 
C) 35 km2 
D) 3.5 * 102 km2

Question 19

The sides of a rectangle are measured to have lengths 0.234 cm and 12.78 cm.Find the area of the rectangle using the correct number of significant figures.

Accepted Answer

A) 2.99052 cm2 
B) 2.9905 cm2 
C) 2.991 cm2 
D) 2.990 cm2 
E) 2.99 cm2 
A) 2.99052 cm2 
B) 2.9905 cm2 
C) 2.991 cm2 
D) 2.990 cm2 
E) 2.99 cm2

Question 20

The solution of (3.75 * 10-9)- (6.21 *10-10)in scientific notation is

Accepted Answer

A) 1.92 * 10-9. 
B) 3.13 * 10-9. 
C) 4.83 * 10-10. 
D) 3.74 * 10-9. 
A) 1.92 * 10-9. 
B) 3.13 * 10-9. 
C) 4.83 * 10-10. 
D) 3.74 * 10-9.

Exam 1: Overview

A driver from Canada enters the U.S.The posted speed limit is 45 mph.What is this posted speed limit in km/h?

and have the same magnitude v.The direction of is north and the direction of is 60 degrees west of south.What is the magnitude of - ?

The radius of the Earth is 6.38 * 106 m.The Earth's radius in miles is

What is the volume of a box that has dimensions 3.50 cm * 1.000 cm * 4.000 cm?

The speed limit on your street is 35 mi/hr.What is this speed in m/s?

The vector = (Ax ,Ay)= ( +7.07 m,+7.07 m)and the vector = (Bx ,By)= ( +5.00 m,+8.66 m).What is the magnitude of the angle between the vectors and ?

A vector with magnitude 25.0 m points along the positive x direction.If it is rotated by 50.0 degrees counterclockwise,what are the components of the vector?

What is the ratio of the Earth's density to that of Venus? Their radii are 6378 km and 6051 km,and their masses 5.97 *1024 kg and 4.87 * 1024 kg,respectively.

Vector has a length of 5 and an angle of 30 ∘\circ∘ with respect to the positive x-axis.Vector has a length of 5 and an angle of 150 with respect to the positive x-axis.What is the angle with respect to the positive x-axis for the vector ?

What is the magnitude and direction (with respect to the positive x axis)of the vector ?

A spherical balloon has a radius of 20 cm.It starts losing air and its radius shrinks at a rate of 1 cm/s.What is the rate of change of the balloon's volume when its radius reaches 5 cm?

Vector points along the y axis with length 5.0,vector makes an angle of 55 ∘\circ∘ with respect to the x-axis and has a length of 7.0.What is the length of vector ?

A CD that is 0.75 mm thick has outer diameter of 128 mm and inner diameter of 15 mm.The volume of the CD is

If vector and vector ,where and are the units vectors along the x and the y directions respectively.If ,calculate the angle vector makes with respect to the +x axes.

A right cylinder has a cross sectional area of 25.0 cm2 and a height of 50.0 cm.What is the volume of the cylinder in SI units?

A string with a length of 13.1 m is tightly tied between two trees.The second tree is some distance east and north of the first tree.If the second tree is 9.8 m east of the first tree,how far north of the first tree is the second tree?

The number of centimeters in 2.50 miles is

A farmer has a field which is 0.50 km in length and 0.70 km in width.What is the area of his field?

The sides of a rectangle are measured to have lengths 0.234 cm and 12.78 cm.Find the area of the rectangle using the correct number of significant figures.

The solution of (3.75 * 10-9)- (6.21 *10-10)in scientific notation is

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The radius of the Earth is 6.38 * 10⁶ m.The Earth's radius in miles is

The vector = (A_x ,A_y)= ( +7.07 m,+7.07 m)and the vector = (B_x ,B_y)= ( +5.00 m,+8.66 m).What is the magnitude of the angle between the vectors and ?

What is the ratio of the Earth's density to that of Venus? Their radii are 6378 km and 6051 km,and their masses 5.97 10²⁴ kg and 4.87 10²⁴ kg,respectively.

A right cylinder has a cross sectional area of 25.0 cm² and a height of 50.0 cm.What is the volume of the cylinder in SI units?

The solution of (3.75 * 10^-9)- (6.21 *10^-10)in scientific notation is