Question 1

Volume can be measured in units of m3.Which of the following unit combinations also result in volume?

Accepted Answer

A)  ft2/m 
B)  cm·ft 
C)  cm2in. 
D)  m2·cm·ft

Question 2

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.90 feet tall on Earth.She lands on planet Z and is measured to be 94 foosi tall.Her partner Rachael is 83 foosi tall.How tall is Rachael on Earth?

Accepted Answer

A)  5.2 feet 
B)  5.5 feet 
C)  5.8 feet 
D)  6.3 feet

Question 3

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A horse is running at a speed of 4.00 yards per second.What is his speed in furlongs per fortnight?

Accepted Answer

A)  2200 furlongs/fortnight 
B)  4980 furlongs/fortnight 
C)  11,000 furlongs/fortnight 
D)  22,000 furlongs/fortnight

Question 4

Calculate (0.82 + 0.042)× (4.49 × 103),keeping only significant figures.

Accepted Answer

A)  3870.8 
B)  3870 
C)  3879 
D)  3900

Question 5

Consider the cosine of any angle between 35° and 40°.If the angle were doubled,what would happen to the cosine of the angle.

Accepted Answer

A)  It would halve. 
B)  It would decrease to less than half its original value. 
C)  It would decrease but be more than half its original value. 
D)  In different cases,it could do any of the above.

Question 6

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 93.500 in2.The number of significant figures in the width measurement must be at least:

Accepted Answer

A)  5 
B)  4 
C)  3 
D)  2

Question 7

I walk six miles in a straight line in a direction north of east,and I end up four miles north and several miles east.How many degrees north of east have I walked?

Accepted Answer

A)  19° 
B)  42° 
C)  60° 
D)  71°

Question 8

Vectors , ,and  Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

Accepted Answer

A)  25 
B)  15 
C)  5 
D)  3

Question 9

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 × 8.9 × 3.11?

Accepted Answer

A)  290.6295 
B)  290.63 
C)  291 
D)  290

Question 10

Vector Is 5 m long and vector  Is 12 m long.The length of the sum of the vectors must be:

Accepted Answer

A)  some value from 7 m to 17 m. 
B)  13 m. 
C)  17 m. 
D)  8 m.

Question 11

A circle has an area of 2.0 m2.A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first.

Accepted Answer

A)  27 
B)  9.0 
C)  3.0 
D)  0.67

Question 12

Four vectors all have the same magnitude.Vector 1 is at 30°,Vector 2 is at 110°,vector 3 is at 240°,and Vector 4 is at 315°.Which vector has the greatest magnitude x component and which vector has the least magnitude y component?

Accepted Answer

A)  Vector 1,Vector 2 
B)  Vector 4,Vector 4 
C)  Vector 1,Vector 1 
D)  Vector 3,Vector 2

Question 13

Each edge of a cube has a length of 50.8 cm.What is the length of a diagonal of the cube going through the center of the cube?

Accepted Answer

A)  20.0 in 
B)  28.8 in 
C)  34.6 in 
D)  50.8 in

Question 14

Of vectors with lengths 5 m,3 m,and 4 m,which has the greatest magnitude x component?

Accepted Answer

A)  the one with length 5 m 
B)  the one with length 3 m 
C)  the one with length 4 m 
D)  It could be any of the three.

Question 15

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

Accepted Answer

A)  13 blocks 
B)  9.4 blocks 
C)  9.2 blocks 
D)  8.6 blocks

Question 16

Two numbers,one with 4 significant figures and the other with 3 significant figures,are combined using the math operations given below.Which operation can give a result with fewer than 3 significant figures?

Accepted Answer

A)  addition 
B)  subtraction 
C)  multiplication 
D)  division

Question 17

Multiplying a 4 significant figure number by a 3 significant figure number and then dividing the product by a six significant figure number yields a number with how many significant figures?

Accepted Answer

A)  7/6 
B)  3 
C)  2 
D)  13

Question 18

A student adds two vectors with magnitudes of 200 and 70.Which one of the following is the only possible choice for the magnitude of their sum?

Accepted Answer

A)  100 
B)  280 
C)  200 
D)  70

Question 19

If v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

Accepted Answer

A)  t = x/v 
B) 
 = v2/x2 
C)  v = t/x 
D)  t2 = 2x2/v2

Question 20

The information on a one-gallon paint can is that the coverage,when properly applied,is 270 ft2.One gallon is 231 in3.What is the average thickness of the paint in such an application?

Accepted Answer

A)  0.0036 in. 
B)  0.0059 in. 
C)  0.043 in. 
D)  0.053 in.

Exam 1: Introduction: Part A

Volume can be measured in units of m³.Which of the following unit combinations also result in volume?

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.90 feet tall on Earth.She lands on planet Z and is measured to be 94 foosi tall.Her partner Rachael is 83 foosi tall.How tall is Rachael on Earth?

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A horse is running at a speed of 4.00 yards per second.What is his speed in furlongs per fortnight?

Calculate (0.82 + 0.042) × (4.49 × 10³) ,keeping only significant figures.

Consider the cosine of any angle between 35° and 40°.If the angle were doubled,what would happen to the cosine of the angle.

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 93.500 in².The number of significant figures in the width measurement must be at least:

I walk six miles in a straight line in a direction north of east,and I end up four miles north and several miles east.How many degrees north of east have I walked?

Vectors ,11ec8724_ ,and Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 × 8.9 × 3.11?

Vector Is 5 m long and vector Is 12 m long.The length of the sum of the vectors must be:

A circle has an area of 2.0 m².A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first.

Four vectors all have the same magnitude.Vector 1 is at 30°,Vector 2 is at 110°,vector 3 is at 240°,and Vector 4 is at 315°.Which vector has the greatest magnitude x component and which vector has the least magnitude y component?

Each edge of a cube has a length of 50.8 cm.What is the length of a diagonal of the cube going through the center of the cube?

Of vectors with lengths 5 m,3 m,and 4 m,which has the greatest magnitude x component?

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

Two numbers,one with 4 significant figures and the other with 3 significant figures,are combined using the math operations given below.Which operation can give a result with fewer than 3 significant figures?

Multiplying a 4 significant figure number by a 3 significant figure number and then dividing the product by a six significant figure number yields a number with how many significant figures?

A student adds two vectors with magnitudes of 200 and 70.Which one of the following is the only possible choice for the magnitude of their sum?

If v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

The information on a one-gallon paint can is that the coverage,when properly applied,is 270 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?

Exam 1: Introduction: Part A

Volume can be measured in units of m3.Which of the following unit combinations also result in volume?

On planet Z,the standard unit of length is the foose.Ann the Astronaut is 5.90 feet tall on Earth.She lands on planet Z and is measured to be 94 foosi tall.Her partner Rachael is 83 foosi tall.How tall is Rachael on Earth?

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A horse is running at a speed of 4.00 yards per second.What is his speed in furlongs per fortnight?

Calculate (0.82 + 0.042) × (4.49 × 103) ,keeping only significant figures.

Consider the cosine of any angle between 35° and 40°.If the angle were doubled,what would happen to the cosine of the angle.

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 93.500 in2.The number of significant figures in the width measurement must be at least:

I walk six miles in a straight line in a direction north of east,and I end up four miles north and several miles east.How many degrees north of east have I walked?

Vectors ,11ec8724_ ,and Have magnitudes 6,11,and 22.When these vectors are added,what is the least possible magnitude of their addition?

Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 10.5 × 8.9 × 3.11?

Vector Is 5 m long and vector Is 12 m long.The length of the sum of the vectors must be:

A circle has an area of 2.0 m2.A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first.

Four vectors all have the same magnitude.Vector 1 is at 30°,Vector 2 is at 110°,vector 3 is at 240°,and Vector 4 is at 315°.Which vector has the greatest magnitude x component and which vector has the least magnitude y component?

Each edge of a cube has a length of 50.8 cm.What is the length of a diagonal of the cube going through the center of the cube?

Of vectors with lengths 5 m,3 m,and 4 m,which has the greatest magnitude x component?

A taxicab moves five blocks due north,five blocks due east,and another three blocks due north.Assume all blocks are of equal size.How far is the taxi from its starting point?

Two numbers,one with 4 significant figures and the other with 3 significant figures,are combined using the math operations given below.Which operation can give a result with fewer than 3 significant figures?

Multiplying a 4 significant figure number by a 3 significant figure number and then dividing the product by a six significant figure number yields a number with how many significant figures?

A student adds two vectors with magnitudes of 200 and 70.Which one of the following is the only possible choice for the magnitude of their sum?

If v is velocity,x is position,and t is time,then which equation is not dimensionally correct?

The information on a one-gallon paint can is that the coverage,when properly applied,is 270 ft2.One gallon is 231 in3.What is the average thickness of the paint in such an application?

Volume can be measured in units of m³.Which of the following unit combinations also result in volume?

Calculate (0.82 + 0.042) × (4.49 × 10³) ,keeping only significant figures.

The length and width of a standard sheet of paper is measured,and then the area is found by calculation to be 93.500 in².The number of significant figures in the width measurement must be at least:

A circle has an area of 2.0 m².A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first.

The information on a one-gallon paint can is that the coverage,when properly applied,is 270 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?