Question 1

If point A is located at coordinates (-10,7)and point B is located at coordinates (8,-8),what is the distance from A to B if the units of the coordinated system are meters?

Accepted Answer

A) 549 m 
B) 23 m 
C) 28 m 
D) 33 m 
E) ​26 m

Question 2

The speed of a boat is often given in knots.If a speed of 5 knots were expressed in the SI system of units,the units would be:

Accepted Answer

A) m. 
B) s. 
C) m/s. 
D) kg/s.

Question 3

Vector 
Is 2 m long,and vector 
Is 5 m long.The length of the sum of the vectors must be
​

Accepted Answer

A) 6 m. 
B) 7 m. 
C) 13 m. 
D) some value from 3 m to 7 m. 
E) ​3 m.

Question 4

An apartment has 1 100 ft2 of floor space.What is the approximate volume of the apartment?

Accepted Answer

A) 102 ft3 
B) 103 ft3 
C) 104 ft3 
D) 105 ft3 
E) 106 ft3

Question 5

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 6.00 yards per second.What is his speed in furlongs per fortnight?​

Accepted Answer

A) 3.30E+4 furlongs/fortnight 
B) 4.71E+3 furlongs/fortnight 
C) 3.31E+4 furlongs/fortnight 
D) 3.33E+4 furlongs/fortnight 
E) 3.28E+4 furlongs/fortnight

Question 6

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 7

Consider the sine of any angle between 30° and 40°.If the angle were doubled,what would happen to the sine of the angle?

Accepted Answer

A) It would double. 
B) It would more than double. 
C) It would increase but be less than double. 
D) In different cases,it could do any of the above.

Question 8

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898?

Accepted Answer

A) ​114.4780 
B) ​114.478 
C) ​114.48 
D) ​114.5 
E) ​114

Question 9

A mosquito flies diagonally from a corner at the floor of a rectangular room,with coordinates (0,0,0)to the opposite corner at the ceiling,with coordinates (5.5,3.75,h)m at a rate of 0.8 m/s.If it takes the mosquito 11 seconds to make the direct flight,what is h? ​

Accepted Answer

A) ​5.8 m 
B) ​6.7 m 
C) ​8.5 m 
D) ​8.3 m

Question 10

There are other ways of expressing uncertainty besides significant figures.For example,suppose a quantity is known to have a value between 20.4 and 20.0,and our best estimate of the value is midrange at 20.2.We could write the number as 20.2 +/− 0.2 and say that the number has a 1% uncertainty.We would also say it has 3 significant figures.If we square a number with 1% uncertainty and 3 significant figures,what results?

Accepted Answer

A) A number with 1% uncertainty and 3 significant figures. 
B) A number with 2% uncertainty and 3 significant figures. 
C) A number with 2% uncertainty and 2 significant figures. 
D) A number with 1% uncertainty and 2 significant figures.

Question 11

The mass of a star is 8.0 × 1030 kg,and the mass of a hydrogen atom is 1.67 × 10−27 kg.If we assume that the star is mostly composed of hydrogen,approximately how many atoms are there in the star?

Accepted Answer

A) 1.3E+4 atoms 
B) 2.1E-58 atoms 
C) 4.8E+57 atoms 
D) 8.0E+30 atoms

Question 12

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 13

Vector 
Is 3.0 units in length and points along the positive x axis;vector 
Is 5.0 units in length and points along a direction 150° from the positive x axis.What is the magnitude of the resulting vector when vectors 
And 
Are added?

Accepted Answer

A) 7.0 
B) 6.7 
C) 2.8 
D) 2.1

Question 14

Modern electroplaters can cover a surface area of 75.0 m2 with one troy ounce of gold (volume = 1.611 cm3).What is the thickness of the electroplated gold?

Accepted Answer

A) 2.15E-8 m 
B) 1.07E-8 m 
C) 1.43E-8 m 
D) 4.30E-8 m 
E) ​None of the above

Question 15

The distance to a hypothetical galaxy is estimated at about 7 × 106 light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 108 m/s,about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 × 107 s)

Accepted Answer

A) 7E+21 m 
B) 1E+9 m 
C) 7E+22 m 
D) 7E+5 m

Question 16

A city uses 6.8 × 109 gallons​ of water every day.How many gallons per minute must be pumped from the reservoir to meet the city's water needs?

Accepted Answer

A) ​4.7E+6 
B) ​7.9E+4 
C) ​2.8E+8 
D) ​6.8E+9

Question 17

A circle has an area of 3.0 m2.A second circle has double the radius of the first.The area of the second circle is ____ times that of the first.

Accepted Answer

A) 0.8 
B) 2.0 
C) 4.0 
D) 6.0

Question 18

Which expression is dimensionally consistent with an expression that would yield a value for time−1? (v is velocity,x is distance,and t is time)

Accepted Answer

A) v/x 
B) v2/x 
C) x/t 
D) v2t

Question 19

Vector 
Points north,and vector 
Points east.If 
= 
− 
,then vector 
Points

Accepted Answer

A) north of east. 
B) south of east. 
C) north of west. 
D) south of west.

Question 20

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration,x is distance,and t is time)

Accepted Answer

A) v/t2 
B) vx2 
C) v2/t 
D) at

Exam 1: Units, Trigonometry, and Vectors

If point A is located at coordinates (-10,7) and point B is located at coordinates (8,-8) ,what is the distance from A to B if the units of the coordinated system are meters?

The speed of a boat is often given in knots.If a speed of 5 knots were expressed in the SI system of units,the units would be:

Vector Is 2 m long,and vector Is 5 m long.The length of the sum of the vectors must be

An apartment has 1 100 ft² of floor space.What is the approximate volume of the apartment?

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 6.00 yards per second.What is his speed in furlongs per fortnight?

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

Consider the sine of any angle between 30° and 40°.If the angle were doubled,what would happen to the sine of the angle?

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898?

A mosquito flies diagonally from a corner at the floor of a rectangular room,with coordinates (0,0,0) to the opposite corner at the ceiling,with coordinates (5.5,3.75,h) m at a rate of 0.8 m/s.If it takes the mosquito 11 seconds to make the direct flight,what is h?

The mass of a star is 8.0 × 10³⁰ kg,and the mass of a hydrogen atom is 1.67 × 10−²⁷ kg.If we assume that the star is mostly composed of hydrogen,approximately how many atoms are there in the star?

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?

Vector Is 3.0 units in length and points along the positive x axis;vector Is 5.0 units in length and points along a direction 150° from the positive x axis.What is the magnitude of the resulting vector when vectors And Are added?

Modern electroplaters can cover a surface area of 75.0 m² with one troy ounce of gold (volume = 1.611 cm³) .What is the thickness of the electroplated gold?

The distance to a hypothetical galaxy is estimated at about 7 × 10⁶ light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 10⁸ m/s,about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 × 10⁷ s)

A city uses 6.8 × 10⁹ gallons of water every day.How many gallons per minute must be pumped from the reservoir to meet the city's water needs?

A circle has an area of 3.0 m².A second circle has double the radius of the first.The area of the second circle is ____ times that of the first.

Which expression is dimensionally consistent with an expression that would yield a value for time−¹? (v is velocity,x is distance,and t is time)

Vector Points north,and vector Points east.If = − ,then vector Points

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration,x is distance,and t is time)

Exam 1: Units, Trigonometry, and Vectors

If point A is located at coordinates (-10,7) and point B is located at coordinates (8,-8) ,what is the distance from A to B if the units of the coordinated system are meters?

The speed of a boat is often given in knots.If a speed of 5 knots were expressed in the SI system of units,the units would be:

Vector Is 2 m long,and vector Is 5 m long.The length of the sum of the vectors must be ​

An apartment has 1 100 ft2 of floor space.What is the approximate volume of the apartment?

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 6.00 yards per second.What is his speed in furlongs per fortnight?​

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

Consider the sine of any angle between 30° and 40°.If the angle were doubled,what would happen to the sine of the angle?

Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898?

A mosquito flies diagonally from a corner at the floor of a rectangular room,with coordinates (0,0,0) to the opposite corner at the ceiling,with coordinates (5.5,3.75,h) m at a rate of 0.8 m/s.If it takes the mosquito 11 seconds to make the direct flight,what is h? ​

The mass of a star is 8.0 × 1030 kg,and the mass of a hydrogen atom is 1.67 × 10−27 kg.If we assume that the star is mostly composed of hydrogen,approximately how many atoms are there in the star?

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?

Vector Is 3.0 units in length and points along the positive x axis;vector Is 5.0 units in length and points along a direction 150° from the positive x axis.What is the magnitude of the resulting vector when vectors And Are added?

Modern electroplaters can cover a surface area of 75.0 m2 with one troy ounce of gold (volume = 1.611 cm3) .What is the thickness of the electroplated gold?

The distance to a hypothetical galaxy is estimated at about 7 × 106 light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 108 m/s,about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 × 107 s)

A city uses 6.8 × 109 gallons​ of water every day.How many gallons per minute must be pumped from the reservoir to meet the city's water needs?

A circle has an area of 3.0 m2.A second circle has double the radius of the first.The area of the second circle is ____ times that of the first.

Which expression is dimensionally consistent with an expression that would yield a value for time−1? (v is velocity,x is distance,and t is time)

Vector Points north,and vector Points east.If = − ,then vector Points

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration,x is distance,and t is time)

Vector Is 2 m long,and vector Is 5 m long.The length of the sum of the vectors must be

An apartment has 1 100 ft² of floor space.What is the approximate volume of the apartment?

A furlong is a distance of 220 yards.A fortnight is a time period of two weeks.A race horse is running at a speed of 6.00 yards per second.What is his speed in furlongs per fortnight?

A mosquito flies diagonally from a corner at the floor of a rectangular room,with coordinates (0,0,0) to the opposite corner at the ceiling,with coordinates (5.5,3.75,h) m at a rate of 0.8 m/s.If it takes the mosquito 11 seconds to make the direct flight,what is h?

The mass of a star is 8.0 × 10³⁰ kg,and the mass of a hydrogen atom is 1.67 × 10−²⁷ kg.If we assume that the star is mostly composed of hydrogen,approximately how many atoms are there in the star?

Modern electroplaters can cover a surface area of 75.0 m² with one troy ounce of gold (volume = 1.611 cm³) .What is the thickness of the electroplated gold?

The distance to a hypothetical galaxy is estimated at about 7 × 10⁶ light years.A light year is the distance traveled by light in one year;if the speed of light is 3 × 10⁸ m/s,about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 × 10⁷ s)

A city uses 6.8 × 10⁹ gallons of water every day.How many gallons per minute must be pumped from the reservoir to meet the city's water needs?

A circle has an area of 3.0 m².A second circle has double the radius of the first.The area of the second circle is ____ times that of the first.

Which expression is dimensionally consistent with an expression that would yield a value for time−¹? (v is velocity,x is distance,and t is time)