Question 1

The quantity with the same units as force times time, Ft, with dimensions MLT−1 is

Accepted Answer

A) mv 
B) mvr 
C) mv2r 
D) ma 
E)    
A) mv 
B) mvr 
C) mv2r 
D) ma 
E)    A

Question 2

John and Linda are arguing about the definition of density. John says the density of an object is proportional to its mass. Linda says the object's mass is proportional to its density and to its volume. Which one, if either, is correct?

Accepted Answer

A) They are both wrong. 
B) John is correct, but Linda is wrong. 
C) John is wrong, but Linda is correct. 
D) They are both correct. 
E) They are free to redefine density as they wish. 
A) They are both wrong. 
B) John is correct, but Linda is wrong. 
C) John is wrong, but Linda is correct. 
D) They are both correct. 
E) They are free to redefine density as they wish. D

Question 3

A rectangle has a length of 1.323 m and a width of 4.16 m. Using significant figure rules, what is the area of this rectangle?

Accepted Answer

A) 5.50368 m2 
B) 5.5037 m2 
C) 5.504 m2 
D) 5.50 m2 
E) 5.5 m2 
A) 5.50368 m2 
B) 5.5037 m2 
C) 5.504 m2 
D) 5.50 m2 
E) 5.5 m2 D

Question 4

A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg. What is the thickness of the plate? (The density of aluminum is 2.70 × 103 kg/m3.)

Accepted Answer

Question 5

If each frame of a motion picture film is 35 cm high, and 24 frames go by in a second, estimate how many frames are needed to show a two-hour-long movie.

Accepted Answer

A) 1400 
B) 25,000 
C) 50,000 
D) 170,000 
E) This cannot be determined without knowing how many reels were used. 
A) 1400 
B) 25,000 
C) 50,000 
D) 170,000 
E) This cannot be determined without knowing how many reels were used.

Question 6

The equation for the change of position of a train starting at x = 0 m is given by   . The dimensions of b are

Accepted Answer

A) T−3 
B) LT−3 
C) LT−2 
D) LT−1 
E) L−1T−1 
A) T−3 
B) LT−3 
C) LT−2 
D) LT−1 
E) L−1T−1

Question 7

Which of the following quantities has the same dimensions as kinetic energy,   ? Note: [[a]] = [[g]] = LT−2; [[h]] = L and [[v]] = LT−1.

Accepted Answer

A) ma 
B) mvx 
C) mvt 
D) mgh 
E) mgt 
A) ma 
B) mvx 
C) mvt 
D) mgh 
E) mgt

Question 8

The term   occurs in Bernoulli's equation in Chapter 15, with ρ being the density of a fluid and v its speed. The dimensions of this term are

Accepted Answer

A) M−1L5T2. 
B) MLT2. 
C) ML−1T−2. 
D) M−1L9T−2. 
E) M−1L3T−2. 
A) M−1L5T2. 
B) MLT2. 
C) ML−1T−2. 
D) M−1L9T−2. 
E) M−1L3T−2.

Question 9

Which of the following products of ratios gives the conversion factor to convert miles per hour   to meters per second   ?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

The standard kilogram is a platinum-iridium cylinder 39 mm in height and 39 mm in diameter. What is the density of the material?

Accepted Answer

The answer of The standard kilogram is a platinum-iridium cylinder...

Question 11

If you drove day and night without stopping for one year without exceeding the legal highway speed limit in the United States, the maximum number of miles you could drive would be closest to

Accepted Answer

A) 8700. 
B) 300,000. 
C) 500,000. 
D) 1,000,000. 
E) 32,000,000. 
A) 8700. 
B) 300,000. 
C) 500,000. 
D) 1,000,000. 
E) 32,000,000.

Question 12

One number has three significant figures and another number has four significant figures. If these numbers are added, subtracted, multiplied, or divided, which operation can produce the greatest number of significant figures?

Accepted Answer

A) the addition 
B) the subtraction 
C) the multiplication 
D) the division 
E) All the operations result in the same number of significant figures. 
A) the addition 
B) the subtraction 
C) the multiplication 
D) the division 
E) All the operations result in the same number of significant figures.

Question 13

Spike claims that dimensional analysis shows that the correct expression for change in velocity,   , is   , where m is mass, t is time, and F is the magnitude of force. Carla says that can't be true because the dimensions of force are   . Which one, if either, is correct?

Accepted Answer

A) Spike, because   . 
B) Spike, because   . 
C) Carla, because   . 
D) Carla, because   . 
E) Spike, because the dimensions of force are   . 
A) Spike, because   . 
B) Spike, because   . 
C) Carla, because   . 
D) Carla, because   . 
E) Spike, because the dimensions of force are   .

Question 14

One mole of the carbon-12 isotope contains 6.022 × 1023 atoms. What volume in m3 would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

Accepted Answer

A) 4.8 × 1018 
B) 1.2 × 1022 
C) 6.0 × 1023 
D) 1.2 × 1024 
E) 4.8 × 1024 
A) 4.8 × 1018 
B) 1.2 × 1022 
C) 6.0 × 1023 
D) 1.2 × 1024 
E) 4.8 × 1024

Question 15

The density of an object is defined as

Accepted Answer

A) the volume occupied by each unit of mass. 
B) the amount of mass for each unit of volume. 
C) the weight of each unit of volume. 
D) the amount of the substance that has unit volume and unit mass. 
E) the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope. 
A) the volume occupied by each unit of mass. 
B) the amount of mass for each unit of volume. 
C) the weight of each unit of volume. 
D) the amount of the substance that has unit volume and unit mass. 
E) the amount of the substance that contains as many particles as 12 grams of the carbon-12 isotope.

Question 16

Which one of the quantities below has dimensions equal to   ?

Accepted Answer

A) mv 
B) mv2 
C)    
D) mrv 
E)    
A) mv 
B) mv2 
C)    
D) mrv 
E)

Question 17

What is the mass of air in a room that measures 5.0 m × 8.0 m × 3.0 m? (The density of air is 1/800 that of water).

Accepted Answer

The answer of What is the mass of air in...

Question 18

One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1 L = 103 cm3.)

Accepted Answer

A) 53 
B) 21 
C) 14 
D) 8.0 
E) 4.0 
A) 53 
B) 21 
C) 14 
D) 8.0 
E) 4.0

Question 19

The basic function of a carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion. As an example, assume that 30 cm3 of gasoline is atomized into N spherical droplets, each with a radius of 2.0 × 10−5 m. What is the total surface area of these N spherical droplets?

Accepted Answer

Question 20

The answer to a question is [[MLT−1]]. The question is "What are the dimensions of

Accepted Answer

A) mr?" 
B) mvr?" 
C) ma?" 
D) mat?" 
E)    ?" 
A) mr?" 
B) mvr?" 
C) ma?" 
D) mat?" 
E)    ?"

Exam 1: Getting Started

The quantity with the same units as force times time, Ft, with dimensions MLT−1 is

John and Linda are arguing about the definition of density. John says the density of an object is proportional to its mass. Linda says the object's mass is proportional to its density and to its volume. Which one, if either, is correct?

A rectangle has a length of 1.323 m and a width of 4.16 m. Using significant figure rules, what is the area of this rectangle?

A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg. What is the thickness of the plate? (The density of aluminum is 2.70 × 103 kg/m3.)

If each frame of a motion picture film is 35 cm high, and 24 frames go by in a second, estimate how many frames are needed to show a two-hour-long movie.

The equation for the change of position of a train starting at x = 0 m is given by . The dimensions of b are

Which of the following quantities has the same dimensions as kinetic energy, ? Note: [[a]] = [[g]] = LT−2; [[h]] = L and [[v]] = LT−1.

The term occurs in Bernoulli's equation in Chapter 15, with ρ being the density of a fluid and v its speed. The dimensions of this term are

Which of the following products of ratios gives the conversion factor to convert miles per hour to meters per second ?

The standard kilogram is a platinum-iridium cylinder 39 mm in height and 39 mm in diameter. What is the density of the material?

If you drove day and night without stopping for one year without exceeding the legal highway speed limit in the United States, the maximum number of miles you could drive would be closest to

One number has three significant figures and another number has four significant figures. If these numbers are added, subtracted, multiplied, or divided, which operation can produce the greatest number of significant figures?

Spike claims that dimensional analysis shows that the correct expression for change in velocity, , is , where m is mass, t is time, and F is the magnitude of force. Carla says that can't be true because the dimensions of force are . Which one, if either, is correct?

One mole of the carbon-12 isotope contains 6.022 × 1023 atoms. What volume in m3 would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

The density of an object is defined as

Which one of the quantities below has dimensions equal to ?

What is the mass of air in a room that measures 5.0 m × 8.0 m × 3.0 m? (The density of air is 1/800 that of water).

One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1 L = 103 cm3.)

The answer to a question is [[MLT−1]]. The question is "What are the dimensions of

One-Dimensional Motion

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Newtons Laws of Motion

Applications of Newtons Laws of Motion

Gravity

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Energy in Nonisolated Systems

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A 2.00 m by 3.00 m plate of aluminum has a mass of 324 kg. What is the thickness of the plate? (The density of aluminum is 2.70 × 10³ kg/m³.)

One mole of the carbon-12 isotope contains 6.022 × 10²³ atoms. What volume in m³ would be needed to store one mole of cube-shaped children's blocks 2.00 cm long on each side?

One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1 L = 103 cm³.)