Question 1

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

2.00 cm

Question 2

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

45000 cm<sup>2</sup>

Question 3

The standard exam page is 8.50 inches by 11.0 inches. Its area in cm2 is

Accepted Answer

A)   19.5
B)   36.8
C)   93.5
D)   237.
E)   603. E

Question 4

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: 1L = 10+3 cm3.)

Accepted Answer

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

Question 5

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 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

Question 7

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)   25000
C)   50000
D)   170000
E)   This cannot be determined without knowing how many reels were used.

Question 8

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

Question 9

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

Question 10

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 .

Question 11

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.

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.

Question 13

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

Question 14

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)

Question 15

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

Accepted Answer

A)  
B)  
C)  
D)  
E)

Question 16

Which one of the quantities below has dimensions equal to  ?

Accepted Answer

A)   mv
B)   mv2
C)  2 
C)     
D)   mrv 
E)    " class="answers-bank-image d-inline" rel="preload" >
D)   mrv
E)  2 
C)     
D)   mrv 
E)    " class="answers-bank-image d-inline" rel="preload" >

Question 17

Which quantity can be converted from the English system to the metric system by the conversion factor  ?

Accepted Answer

A)   feet per second
B)   feet per hour
C)   miles per second
D)   miles per hour
E)   miles per minute

Question 18

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 19

At the end of a year, a motor car company announces that sales of a pickup are down 43% for the year. If sales continue to decrease by 43% in each succeeding year, how long will it take for sales to decrease to zero?

Accepted Answer

A)   1 year
B)   2 years
C)   3 years
D)   4 years
E)   More than four years

Question 20

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)   300000.
C)   500000.
D)   1000000.
E)   32000000.

Exam 1: Physics and Measurement

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.)

The standard exam page is 8.50 inches by 11.0 inches. Its area in cm² is

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: 1L = 10⁺³ cm³.)

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

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

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.

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

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?

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?

The density of an object is defined as:

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?

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?

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

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

Which one of the quantities below has dimensions equal to ?

Which quantity can be converted from the English system to the metric system by the conversion factor ?

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).

At the end of a year, a motor car company announces that sales of a pickup are down 43% for the year. If sales continue to decrease by 43% in each succeeding year, how long will it take for sales to decrease to zero?

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:

Exam 1: Physics and Measurement

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.)

The standard exam page is 8.50 inches by 11.0 inches. Its area in cm2 is

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: 1L = 10+3 cm3.)

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

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

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.

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

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?

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?

The density of an object is defined as:

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?

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?

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

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

Which one of the quantities below has dimensions equal to ?

Which quantity can be converted from the English system to the metric system by the conversion factor ?

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).

At the end of a year, a motor car company announces that sales of a pickup are down 43% for the year. If sales continue to decrease by 43% in each succeeding year, how long will it take for sales to decrease to zero?

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:

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.)

The standard exam page is 8.50 inches by 11.0 inches. Its area in cm² is

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: 1L = 10⁺³ cm³.)

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

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?