Question 1

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (?g/s)are lost? A)2.6 × 10³ ?g/s B)1.6 × 10⁵ ?g/s C)44 ?g/s D)6.4 × 10⁴ ?g/s

Accepted Answer

1.6 kg = 1.6 x 10^6 ?g1 week = 7 x 24 x 60 x 60 s = 6.048 x 10^5 s1.6 x 10^6 ?g / 6.048 x 10^5 s = 2.6 x 10^3 ?g/s

Question 2

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \mathrm { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} .$ What is this wavelength in nanometers? (1 nm = 10^-9m) A)6.6 × 10² nm B)6.6 × 10³ nm C)6.6 × 10¹ nm D)6.6 × 10⁴ nm

Accepted Answer

The answer of The wavelength of the light from a...

Question 3

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.) A)2.3 × 10⁴ m² B)7.1 × 10³ m² C)7.0 × 10⁴ m² D)5.0 × 10⁴ m²

Accepted Answer

The answer of A plot of land contains \(5.8 \text...

Question 4

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd? A)6.40 m B)36.3 m C)640 m D)1.78 × 10³ m

Accepted Answer

First, convert yards to inches: 7.00 yd * 36.0 in./yd = 252.0 in. Then, convert inches to centimeters: 252.0 in * 2.54 cm/in = 640.08 cm. Finally, convert centimeters to meters: 640.08 cm * 1 m/100 cm = 6.40 m.

Question 5

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

Accepted Answer

The answer of Hydraulicists often express rainfall in acre-feet. This...

Question 6

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.
A)0.329 dekadollars; 0.329 decidollars
B)32.9 dekadollars; 0.329 decidollars
C)329 dekadollars; 32.9 decidollars
D)0.329 dekadollars; 32.9 decidollars
E)32.9 dekadollars; 329 decidollars

Accepted Answer

To convert a dollar amount to dekadollars, we need to divide by 10. Thus, $3.29 = 0.329 dekadollars. 
To convert a dollar amount to decidollars, we need to multiply by 10. Thus, $3.29 = 32.9 decidollars. Therefore, option D is the correct answer.

Question 7

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?
A)1.59
B)2.54
C)5.08
D)6.45

Accepted Answer

To find the area of 1.00 square inch in square centimeters, we need to square the conversion factor of 2.54 cm/in:
(2.54 cm/in)^2 = 6.45 cm^2/in^2
Therefore, there are 6.45 square centimeters in 1.00 square inch.

Question 8

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)
A)60 m/s
B)20 m/s
C)30 km/h
D)120 m/s
E)30 m/s

Accepted Answer

The answer of A speed of 60 mi/h is closest...

Question 9

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to A)0.21 ft³/s. B)0.19 ft³/s. C)0.17 ft³/s. D)0.15 ft³/s. E)0.14 ft³/s.

Accepted Answer

95 gal/min * (231 in³/gal) * (1 ft/12 in)³ * (1 min/60 s) = 0.21 ft³/s

Question 10

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)
A)10 km/h
B)10 m/s
C)10 ft/s
D)10 mi/h
E)10 yd/s

Accepted Answer

We need to convert all units to a common unit for comparison. Converting all units to meters per second gives us:
A) 10 km/h = 2.78 m/s
B) 10 m/s = 10 m/s
C) 10 ft/s = 3.05 m/s
D) 10 mi/h = 4.47 m/s
E) 10 yd/s = 9.14 m/s
Therefore, the greatest speed is 10 m/s.

Question 11

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to A)35 ft³ B)41 ft³ C)47 ft³ D)53 ft³ E)59 ft³

Accepted Answer

The answer of The following conversion equivalents are given: 1.0...

Question 12

The density of water is 1.00 g/cm³. What is its density in kg/m³?

Accepted Answer

The answer of The density of water is 1.00 g/cm³....

Question 13

The following conversion equivalents are given: 1.0 mile = 5280 ft 1.0 ft = 12 in 1 m = 39.37 in
1.0 hour = 60 min 1.0 min = 60 s
If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to
A)2.1 m/s.
B)1.7 m/s.
C)1.9 m/s.
D)2.3 m/s.
E)2.5 m/s.

Accepted Answer

First, convert the speed from miles per hour to meters per second. $4.7 \, \text{mi/h} = 4.7 \times 5280 \, \text{ft/h} = 24816 \, \text{ft/h}$. Convert feet to meters: $24816 \, \text{ft} \times \frac{1 \, \text{m}}{39.37 \, \text{in}} \times \frac{12 \, \text{in}}{1 \, \text{ft}} = 7534.8 \, \text{m/h}$. Convert hours to seconds: $7534.8 \, \text{m/h} \times \frac{1 \, \text{h}}{3600 \, \text{s}} \approx 2.1 \, \text{m/s}$.

Question 14

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm).
A)80 mm; 800 µm
B)80 mm; 80,000 µm
C)800 mm; 0.008 µm
D)800 mm; 0.8 µm
E)0.8 mm; 8000 µm

Accepted Answer

1 cm equals 10 mm, so 8 cm equals 80 mm. 1 mm equals 1000 µm, so 80 mm equals 80,000 µm.

Question 15

A light-year (ly)is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.) A)2.87 × 10¹³ mi B)9.46 × 10¹⁵ mi C)5.88 × 10¹⁵ mi D)9.46 × 10¹² mi E)5.88 × 10¹² mi

Accepted Answer

The answer of A light-year (ly)is the distance that light...

Question 16

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)
A)49 m/s
B)2.2 m/s
C)22 m/s
D)45 m/s

Accepted Answer

We first convert miles to meters:

50 mi/h * 1609 m/mi = 80,467 m/h

We then convert hours to seconds:

80,467 m/h * 1 h/3600 s = 22.35 m/s

Rounding to the nearest meter per second gives us choice C, 22 m/s.

Question 17

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

Accepted Answer

The answer of There are 640 acres in a square...

Question 18

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg). A)50,000 g; 5 ×10⁶ µg B)500,000 g; 500 × 10⁶ µg C)500,000 g; 5000 µg D)50,000 g; 5 × 10¹⁰ µg E)50,000 g; 50,000 µg

Accepted Answer

The answer of A jogger has a mass of 50...

Question 19

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

Accepted Answer

The answer of There are 2.00 dry pints to 1.00...

Question 20

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)
A)1.5 m
B)1.6 m
C)1.7 m
D)1.8 m

Accepted Answer

The answer of If you are 5'10'' tall, what is...

Quiz 1: Representing Motion

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (?g/s) are lost?

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \mathrm { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} .$ What is this wavelength in nanometers? (1 nm = 10^-9m)

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.)

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to

The density of water is 1.00 g/cm³. What is its density in kg/m³?

The following conversion equivalents are given: 1.0 mile = 5280 ft 1.0 ft = 12 in 1 m = 39.37 in 1.0 hour = 60 min 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm) .

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg) .

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)

Quiz 1: Representing Motion

A person on a diet loses 1.6 kg1.6 \mathrm {~kg}1.6 kg in a week. How many micrograms per second (?g/s) are lost?

The wavelength of the light from a certain laser is 0.66 microns, 0.66 \text { microns, }0.66 microns, where 1micron=1.0×10−6 m.1 \mathrm { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} .1micron=1.0×10−6 m. What is this wavelength in nanometers? (1 nm = 10-9m)

A plot of land contains 5.8 acres. 5.8 \text { acres. }5.8 acres. How many square meters does it contain? (1.0 acre = 43,560 ft2 and 2.54 cm = 1.00 in.)

Given that 1.00 in. = 2.54 cm and 1.00 yd = 36.0 in., how many meters are in 7.00 yd?

Hydraulicists often express rainfall in acre-feet. This is the amount of water required to cover an area of one acre to a depth of one foot. There are 640.0 acres in a square mile, and 5280 feet in one mile. How many cubic feet are there in one acre-foot?

A jar of peanut butter costs $3.29. Express its price in dekadollars and decidollars.

Given that 1.00 in. = 2.54 cm, how many square centimeters are in 1.00 square inch?

A speed of 60 mi/h is closest to which of the following? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.00 gal = 231 in3i n ^ { 3 }in3 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft3/s is closest to

Which of the following speeds is greatest? (2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to

The density of water is 1.00 g/cm3. What is its density in kg/m3?

The following conversion equivalents are given: 1.0 mile = 5280 ft 1.0 ft = 12 in 1 m = 39.37 in 1.0 hour = 60 min 1.0 min = 60 s If a deer runs at 4.7 mi/h, its speed, in meters per second, is closest to

A typical ruby-throated hummingbird is 8 cm long. Express its length in millimeters and micrometers (µm) .

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 108 m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)

Express 50 mi/h in units of meters per second. (1 mi = 1609 m)

There are 640 acres in a square mile, 5280 ft in one mile, and 3.28 ft in one meter. How many acres are there in a hectare, which is a square one hundred meters on each side?

A jogger has a mass of 50 kg. Express her mass in grams and micrograms (µg) .

There are 2.00 dry pints to 1.00 dry quart, 8.00 dry quarts to 1.00 peck, 4.00 pecks to 1.00 bushel. An organic farmer wants to pick enough berries to fill 40,000 pint containers. How many bushels of berries does the farmer need?

If you are 5'10'' tall, what is your height in meters? (2.54 cm = 1.00 in.)

A person on a diet loses $1.6 \mathrm {~kg}$ in a week. How many micrograms per second (?g/s) are lost?

The wavelength of the light from a certain laser is $0.66 \text { microns, }$ where $1 \mathrm { micron } = 1.0 \times 10 ^ { - 6 } \mathrm {~m} .$ What is this wavelength in nanometers? (1 nm = 10^-9m)

A plot of land contains $5.8 \text { acres. }$ How many square meters does it contain? (1.0 acre = 43,560 ft² and 2.54 cm = 1.00 in.)

The following conversion equivalents are given: 1.00 gal = 231 $i n ^ { 3 }$ 1.0 ft = 12 in 1.0 min = 60 s If a pipe delivers water at the rate of 95 gal/min, its rate of flow in ft³/s is closest to

The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in If a bin has a volume of 1.5 m³, the volume of the bin, in ft³, is closest to

The density of water is 1.00 g/cm³. What is its density in kg/m³?

A light-year (ly) is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in 1.00 ly? (1.00 mi = 1.609 km and one year is 365.25 days.)