Question 1

For which of the values below is x > x7?

Accepted Answer

A) x = -2.0 
B) x = 0 
C) x = 1.0 
D) x = 2.0 
E) ​x = 4.0

Question 2

Vector ​A is 2.0 
​ + 3.5 
)Vector B is -3.1 
- 3)1 
)What is A + 2B?

Accepted Answer

A) ​-4.2  + -2.7  
B) ​-1.1  - 0.4  
C) ​5.1  + 6.6  
D) ​8.2  + 9.7

Question 3

In 1983 the standard meter was redefined to what it is currently.What was the previous definition from 1960 based on?

Accepted Answer

A) specific alloy bar housed at Sevres,France 
B) wavelength of light emitted by certain krypton atoms 
C) distance from the Earth's equator to the North Pole 
D) the distance light travels in a certain fraction of a second

Question 4

Areas always have dimensions ____ while volumes always have dimensions ____.

Accepted Answer

A) m2,m3 
B) L2,L3 
C) Both a and b are correct. 
D) No answer is correct because of the "always."

Question 5

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 270 million Americans,about how many tons of aluminum need to be recycled each year if each can weighs 1/15 pound and one ton = 2 000 pounds?

Accepted Answer

A) 450 000 tons 
B) 1.6 million tons 
C) 3.3 million tons 
D) 0.82 million tons 
E) ​410 000 tons

Question 6

Doubling the radius of a sphere results in increasing its volume by a factor of

Accepted Answer

A) 2. 
B) 4. 
C) 8. 
D) 8π.

Question 7

The proton contains which of the following combination of quarks?

Accepted Answer

A) two up quarks and one down quark 
B) one up quark and two down quarks 
C) one top quark and two bottom quarks 
D) two top quarks and one bottom quark

Question 8

When NASA was communicating with astronauts on the Moon,the time from sending on the Earth to receiving on the Moon was 1.28 s.Find the distance from Earth to the Moon.(The speed of radio waves is 3.00 × 108 m/s. )

Accepted Answer

A) 240 000 km 
B) 384 000 km 
C) 480 000 km 
D) 768 000 km

Question 9

A triangle has sides of length 7 cm and 11 cm.If the triangle is a right triangle,which of the following could be the length of the third side,to the nearest centimeter?

Accepted Answer

A) 11 cm 
B) 8 cm 
C) 16 cm 
D) 17 cm 
E) ​7 cm

Question 10

In mechanics,physicists use three basic quantities to derive additional quantities.Mass is one of the three quantities.What are the other two?

Accepted Answer

A) length and force 
B) power and force 
C) length and time 
D) force and time

Question 11

The information on a one-gallon paint can is that the coverage,when properly applied,is 440 ft2.One gallon is 231 in3.What is the average thickness of the paint in such an application?

Accepted Answer

A) 3.6E-3 in 
B) 5.3E-1 in 
C) 4.4E-2 in 
D) 1.3E-2 in 
E) ​1.6E-1 in

Question 12

Since 1967 the standard definition for the second has been based on which of the following?

Accepted Answer

A) characteristic frequency of the cesium-133 atom 
B) average solar day 
C) sidereal day 
D) Greenwich Civil Time 
E) None of the above

Question 13

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 14

If ϕ = 90° − θ,what is the value of sin2 ϕ + sin2 θ?

Accepted Answer

A) 0 
B) 1 
C) −1 
D) ​The answer depends on θ.

Question 15

The prefixes which are abbreviated f,d,and T represent which of the following?

Accepted Answer

A) 10-30,10-2,and 1024 
B) 10-15,102,and 1024 
C) 10-15,10-1,and 1012 
D) 10-13,102,and 1024 
E) 1​0-30,10-1,and 10-2

Question 16

​Amir drives his ATV from coordinates (5.0 km,25°)directly to (25.0 km,45°)in 45 minutes.What is the ATV's speed?

Accepted Answer

A) ​0.5 km/h 
B) ​20.4 km/h 
C) ​27.2 km/h 
D) ​34.0 km/h

Question 17

When SI units are plugged into an equation,it is found that the units balance.Which of the following can we expect to be true for this equation?

Accepted Answer

A) The equation will be dimensionally correct. 
B) The equation will be dimensionally correct except sometimes in cases when the right-hand side of the equation has more than one term. 
C) The equation will not be dimensionally correct. 
D) All constants of proportionality will be correct.

Question 18

​Approximately how many water molecules are in a lake with a volume of 12 100 km3? A water molecule measures approximately 2.75 × 10¯10 m in length.

Accepted Answer

A) ​2E+15 
B) ​5E+22 
C) ​4E+14 
D) ​6E+41

Question 19

The number 0.03 has how many significant figures?

Accepted Answer

A) 2 
B) 3 
C) 5 
D) 6 
E) ​7

Question 20

Suppose the interior angles of a triangle are φ1,φ2,and φ3,with φ1 > φ2 > φ3.Which side of the triangle is the shortest?

Accepted Answer

A) The side opposite φ1. 
B) The side opposite φ2. 
C) The side opposite φ3. 
D) More information is needed unless the triangle is a right triangle.

Exam 1: Units, Trigonometry, and Vectors

For which of the values below is x > x⁷?

Vector A is 2.0 + 3.5 ) Vector B is -3.1 - 3) 1 ) What is A + 2B?

In 1983 the standard meter was redefined to what it is currently.What was the previous definition from 1960 based on?

Areas always have dimensions while volumes always have dimensions .

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 270 million Americans,about how many tons of aluminum need to be recycled each year if each can weighs 1/15 pound and one ton = 2 000 pounds?

Doubling the radius of a sphere results in increasing its volume by a factor of

The proton contains which of the following combination of quarks?

When NASA was communicating with astronauts on the Moon,the time from sending on the Earth to receiving on the Moon was 1.28 s.Find the distance from Earth to the Moon.(The speed of radio waves is 3.00 × 10⁸ m/s. )

A triangle has sides of length 7 cm and 11 cm.If the triangle is a right triangle,which of the following could be the length of the third side,to the nearest centimeter?

In mechanics,physicists use three basic quantities to derive additional quantities.Mass is one of the three quantities.What are the other two?

The information on a one-gallon paint can is that the coverage,when properly applied,is 440 ft².One gallon is 231 in³.What is the average thickness of the paint in such an application?

Since 1967 the standard definition for the second has been based on which of the following?

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

If ϕ = 90° − θ,what is the value of sin² ϕ + sin² θ?

The prefixes which are abbreviated f,d,and T represent which of the following?

Amir drives his ATV from coordinates (5.0 km,25°) directly to (25.0 km,45°) in 45 minutes.What is the ATV's speed?

When SI units are plugged into an equation,it is found that the units balance.Which of the following can we expect to be true for this equation?

Approximately how many water molecules are in a lake with a volume of 12 100 km³? A water molecule measures approximately 2.75 × 10¯¹⁰ m in length.

The number 0.03 has how many significant figures?

Suppose the interior angles of a triangle are φ1,φ₂,and φ₃,with φ1 > φ₂_> φ₃.Which side of the triangle is the shortest?

Exam 1: Units, Trigonometry, and Vectors

For which of the values below is x > x7?

Vector ​A is 2.0 ​ + 3.5 ) Vector B is -3.1 - 3) 1 ) What is A + 2B?

In 1983 the standard meter was redefined to what it is currently.What was the previous definition from 1960 based on?

Areas always have dimensions ____ while volumes always have dimensions ____.

Assume everyone in the United States consumes one soft drink in an aluminum can every two days.If there are 270 million Americans,about how many tons of aluminum need to be recycled each year if each can weighs 1/15 pound and one ton = 2 000 pounds?

Doubling the radius of a sphere results in increasing its volume by a factor of

The proton contains which of the following combination of quarks?

When NASA was communicating with astronauts on the Moon,the time from sending on the Earth to receiving on the Moon was 1.28 s.Find the distance from Earth to the Moon.(The speed of radio waves is 3.00 × 108 m/s. )

A triangle has sides of length 7 cm and 11 cm.If the triangle is a right triangle,which of the following could be the length of the third side,to the nearest centimeter?

In mechanics,physicists use three basic quantities to derive additional quantities.Mass is one of the three quantities.What are the other two?

The information on a one-gallon paint can is that the coverage,when properly applied,is 440 ft2.One gallon is 231 in3.What is the average thickness of the paint in such an application?

Since 1967 the standard definition for the second has been based on which of the following?

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

If ϕ = 90° − θ,what is the value of sin2 ϕ + sin2 θ?

The prefixes which are abbreviated f,d,and T represent which of the following?

​Amir drives his ATV from coordinates (5.0 km,25°) directly to (25.0 km,45°) in 45 minutes.What is the ATV's speed?

When SI units are plugged into an equation,it is found that the units balance.Which of the following can we expect to be true for this equation?

​Approximately how many water molecules are in a lake with a volume of 12 100 km3? A water molecule measures approximately 2.75 × 10¯10 m in length.

The number 0.03 has how many significant figures?

Suppose the interior angles of a triangle are φ1,φ2,and φ3,with φ1 > φ2 > φ3.Which side of the triangle is the shortest?

For which of the values below is x > x⁷?

Vector A is 2.0 + 3.5 ) Vector B is -3.1 - 3) 1 ) What is A + 2B?

Areas always have dimensions while volumes always have dimensions .

When NASA was communicating with astronauts on the Moon,the time from sending on the Earth to receiving on the Moon was 1.28 s.Find the distance from Earth to the Moon.(The speed of radio waves is 3.00 × 10⁸ m/s. )

The information on a one-gallon paint can is that the coverage,when properly applied,is 440 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?

If ϕ = 90° − θ,what is the value of sin² ϕ + sin² θ?

Amir drives his ATV from coordinates (5.0 km,25°) directly to (25.0 km,45°) in 45 minutes.What is the ATV's speed?

Approximately how many water molecules are in a lake with a volume of 12 100 km³? A water molecule measures approximately 2.75 × 10¯¹⁰ m in length.

Suppose the interior angles of a triangle are φ1,φ₂,and φ₃,with φ1 > φ₂_> φ₃.Which side of the triangle is the shortest?