Question 1

A standard exam page is 8.5 inches by 11 inches. An exam that is 2.0 mm thick has a volume of A) 1.9 × 10⁴ mm³. B) 4.7 × 10⁴ mm³. C) 1.2 × 10⁵ mm³. D) 3.1 × 10⁵ mm³. E) 3.1 × 10³ mm³.

Accepted Answer

To find the volume, convert the dimensions from inches to millimeters (1 inch = 25.4 mm). The dimensions are 8.5 inches (215.9 mm) by 11 inches (279.4 mm) by 2.0 mm. The volume is 215.9 mm × 279.4 mm × 2.0 mm = 1.2 × 10^5 mm^3.

Question 2

The quantity with the same units as force times time, Ft, with dimensions MLT−¹ is A) mv B) mvr C) mv²r D) ma E)

Accepted Answer

A

Question 3

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) 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.

Accepted Answer

Density is defined as mass per unit volume, which means it is proportional to mass (as John says) and also that mass is proportional to density and volume (as Linda says), making both of their statements correct.

Question 4

Which one of the quantities below has dimensions equal to ? A) mv B) mv² C) D) mrv E)

Accepted Answer

The answer of Which one of the quantities below has...

Question 5

The standard exam page is 8.50 inches by 11.0 inches. Its area in cm² is A) 19.5 B) 36.8 C) 93.5 D) 237. E) 603.

Accepted Answer

To convert the area from square inches to square centimeters, first convert the dimensions of the page from inches to centimeters (1 inch = 2.54 cm). The dimensions in centimeters are 8.50 inches * 2.54 cm/inch = 21.59 cm by 11.0 inches * 2.54 cm/inch = 27.94 cm. The area in square centimeters is 21.59 cm * 27.94 cm = 603.46 cm^2, which rounds to 603.

Question 6

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

Accepted Answer

Starting with Bernoulli's equation: P + 0.5ρv^2 + ρgy = constant We can isolate the term in question (11eb6adc_ee6a_867c_b0cf_1beea53d326c_TB8245_11) as follows: 11eb6adc_ee6a_867c_b0cf_1beea53d326c_TB8245_11 = ρv^2 Looking at the units: [ρ] = M/L^3 [v] = L/T Substituting in the units, we get: [M/L^3] * [L^2/T^2] = [M/LT^2] Simplifying the units, we get: ML^-1T^-2 Which matches to option C, ML−¹T−².

Question 7

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

B)

C)

D)

E)

Accepted Answer

The answer of Which of the following products of ratios...

Question 8

The equation for the change of position of a train starting at x = 0 m is given by . The dimensions of b are A) T−³ B) LT−³ C) LT−² D) LT−¹ E) L−¹T−¹

Accepted Answer

The answer of The equation for the change of position...

Question 9

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

B)

C)

D)

E)

Accepted Answer

The answer of Which of the following products of ratios...

Question 10

Which of the following quantities has the same dimensions as kinetic energy, ? Note: [a] = [g] = LT−²; [h] = L and [v] = LT−¹. A) ma B) mvx C) mvt D) mgh E) mgt

Accepted Answer

The answer of Which of the following quantities has the...

Question 11

Which quantity can be converted from the English system to the metric system by the conversion factor  ?
A) feet per second
B) feet per hour
C) miles per second
D) miles per hour
E) miles per minute

Accepted Answer

The conversion factor 11eb6adc_ee6c_a972_b0cf_9fcfdbc425ef_TB8245_11 corresponds to a factor of 0.44704 when converting from miles per hour to meters per second in the metric system. Therefore, the quantity that can be converted using this conversion factor is miles per hour.

Question 12

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) 8700.
B) 300000.
C) 500000.
D) 1000000.
E) 32000000.

Accepted Answer

Assuming you never stop, you would be driving 24 hours a day, 7 days a week.

In the United States, the maximum speed limit is typically 70 miles per hour on highways.

Therefore, in one day you could drive a maximum of:

24 hours/day * 70 miles/hour = 1680 miles/day

In one year (365 days), you could drive a maximum of:

365 days * 1680 miles/day = 613,200 miles

However, this assumes that you never have to slow down or stop, which is not realistic. You may encounter traffic, road work, or other obstacles that require you to slow down or even stop.

Therefore, a more realistic estimate would be to assume an average speed of 60 miles per hour, which includes time spent slowing down and stopping.

In one day, you would then drive a maximum of:

24 hours/day * 60 miles/hour = 1440 miles/day

In one year, you could drive a maximum of:

365 days * 1440 miles/day = 525,600 miles

This is closest to option C) 500000.

Question 13

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

Accepted Answer

Sales will never actually reach zero through successive percentage decreases because each decrease is applied to a smaller base number than the one before.

Question 14

The density of an object is defined as:
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.

Accepted Answer

Density is defined as mass divided by volume, so it is the amount of mass for each unit of volume.

Question 15

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

Accepted Answer

The answer of One number has three significant figures and...

Question 16

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

Accepted Answer

The answer of One mole of the carbon-12 isotope contains...

Question 17

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.
A) 1400
B) 25000
C) 50000
D) 170000
E) This cannot be determined without knowing how many reels were used.

Accepted Answer

To show a two-hour long movie, we first need to convert two hours to seconds.

1 hour = 60 minutes 
2 hours = 120 minutes

1 minute = 60 seconds 
120 minutes = 7200 seconds

Now we know that the movie is 7200 seconds long, and there are 24 frames per second.

Therefore, the total number of frames in the movie = 7200 x 24 = 172800

However, the question is asking for an estimate, so we can round this to the nearest ten thousand to get 170000. Therefore, option D is the best choice.

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: 1L = 10⁺³ cm³.) A) 53 B) 21 C) 14 D) 8.0 E) 4.0

Accepted Answer

First, calculate the total volume in cubic inches for a 14-gallon tank: 14 gallons * 231 cubic inches/gallon = 3234 cubic inches. Convert cubic inches to liters knowing 1 liter = 1000 cubic centimeters (cm^3) and 1 inch = 2.54 cm. So, 3234 cubic inches * (2.54 cm/inch)^3 = 3234 * 16.387064 cm^3/inch^3 = 52996.5 cm^3 = 53 liters (approximately).

Question 19

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

Accepted Answer

Dimensional analysis tells us that the dimension of force is M L T^-2 (mass times length divided by time squared). In the expression for change in velocity that Spike proposes, there is a term (F/m) which has dimensions of L T^-2. This means that the entire expression has dimensions of L T, which is indeed the dimensions of change in velocity. Therefore, Spike is correct and choice C is incorrect.

Question 20

The answer to a question is [MLT−¹]. The question is "What are the dimensions of A) mr?" B) mvr?" C) ma?" D) mat?" E) ?"

Accepted Answer

The answer of The answer to a question is [MLT−¹]....

Quiz 1: Physics and Measurement

A standard exam page is 8.5 inches by 11 inches. An exam that is 2.0 mm thick has a volume of

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?

Which one of the quantities below has dimensions equal to ?

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

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 factors to convert meters per second to miles per hour ?

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

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

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

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:

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?

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?

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.

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.)

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

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

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

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?

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