Question 1

Add 3685 g and 66.8 kg and express your answer in milligrams (mg). A)7.05 × 10⁷ mg B)7.05 × 10⁴ mg C)7.05 × 10⁵ mg D)7.05 × 10⁶mg

Accepted Answer

A

Question 2

What is 0.205^2/3,to the proper number of significant figures? A)0.348 B)0.35 C)0.3 D)0.3477

Accepted Answer

The number 0.205 has three significant figures, so the result should also be expressed with three significant figures. 0.205^(2/3) is approximately 0.348, which is rounded to three significant figures.

Question 3

A person on a diet loses 1.6 kg in a week.How many micrograms/second (µg/s)are lost? A)2.6 × 10³ μg/s B)1.6 × 10⁵ μg/s C)44 μg/s D)6.4 × 10⁴ μg/s

Accepted Answer

A

Question 4

A marathon is 26 mi and 385 yd long.Estimate how many strides would be required to run a marathon.Assume a reasonable value for the average number of feet/stride. A)4.5 × 10⁴ strides B)4.5 × 10³ strides C)4.5 × 10⁵ strides D)4.5 × 10⁶ strides

Accepted Answer

The answer of A marathon is 26 mi and 385...

Question 5

What is  to the proper number of significant figures?
A)0.91
B)0.911
C)0.9108
D)0.9

Accepted Answer

The answer of What is  to the proper number...

Question 6

A CD-ROM disk can store approximately 600.0 megabytes of information.If an average word requires 9.0 bytes of storage,how many words can be stored on one disk? A)6.7 × 10⁷ words B)5.4 × 10⁹ words C)2.1 × 10⁷words D)2.0 × 10⁹ words

Accepted Answer

600.0 MB = 600.0 × 10⁶ bytesNumber of words = (600.0 × 10⁶ bytes) / (9.0 bytes/word) = 6.7 × 10⁷ words

Question 7

A plot of land contains 5.8 acres.How many square meters does it contain? [1 acre = 43,560 ft².] 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 acres.How...

Question 8

The following conversion equivalents are given: 1 gal = 231 in³ 1 ft = 12 in 1 min = 60 s A pipe delivers water at the rate of 95 gal/min.The rate,in in3/s,is closest to: A)0.21 B)0.19 C)0.17 D)0.15 E)0.14

Accepted Answer

95 gal/min * (231 in^3/gal) * (1 min/60 s) = 365.25 in^3/s

Question 9

The following conversion equivalents are given: 1 kg = 1000g 1 l = 1000 cm³ 11 = 0.0353 ft³ The density of a liquid is 0.83 g/cm³.The density of the liquid,in kg/ft³,is closest to: A)24 B)19 C)21 D)26 E)28

Accepted Answer

To convert the density from g/cm³ to kg/ft³, first convert g/cm³ to kg/cm³ by dividing by 1000 (0.83 g/cm³ = 0.00083 kg/cm³). Then convert cm³ to ft³ using the given conversion (1 cm³ = 0.0353 ft³). So, 0.00083 kg/cm³ * (1/0.0353) ft³/cm³ = 23.51 kg/ft³, which is closest to 24.

Question 10

Which of the following is a reasonable estimate of the number of characters (typed letters or numbers) in a 609 page book? Assume an average of 194 words/page and a reasonable average number of letters/word. A) 5 × 10⁵ char B) 5 × 10⁷ char C) 5 × 10⁶ char D) 5 × 10⁴ char

Accepted Answer

The answer of Which of the following is a reasonable...

Question 11

An equation that you will use later is x = at²,where a has units of acceleration,t has units of time,and x has units of distance.If t = 61.9 s,find the difference between the values of x obtained when a = 9.81 m/s² and when a = 10.0 m/s². A)4 × 10² m B)3 × 10² m C)6 × 10² m D)1 × 10³ m

Accepted Answer

The answer of An equation that you will use later...

Question 12

The following conversion equivalents are given: 
1 mile = 5280 ft 1 ft = 12 in 1 m = 39.37 in 1 hour = 60 min 1 min = 60 s
A particle has a velocity of 4.7 miles per hour.The velocity,in m/s,is closest to:
A)2.1
B)1.7
C)1.9
D)2.3
E)2.5

Accepted Answer

To convert 4.7 miles per hour to meters per second, first convert miles to feet, then feet to inches, inches to meters, and finally hours to seconds. The calculation is:  4.7 miles/hour * 5280 ft/mile * 12 in/ft * 1 m/39.37 in * 1 hour/3600 s ≈ 2.1 m/s.

Question 13

A weight lifter can bench press 171 kg.How many milligrams (mg)is this? A)1.71 × 10⁸ mg B)1.71 × 10⁹ mg C)1.71 × 10⁷ mg D)1.71 × 10⁶ mg

Accepted Answer

The answer of A weight lifter can bench press 171...

Question 14

Estimate the number of times an average person's heart beats in a lifetime.Assume the average heart rate is 69 beats/min and a life span of 75 yr. A)3 × 10⁹ beats B)3 × 10⁸ beats C)3 × 10¹⁰ beats D)3 × 10⁷ beats

Accepted Answer

To estimate the total number of heartbeats in a lifetime, multiply the average heart rate by the number of minutes in a year and then by the number of years in a lifetime: 69 beats/min × 60 min/hr × 24 hr/day × 365 days/yr × 75 yr ≈ 2.7 × 10^9 beats, which is closest to 3 × 10^9 beats.

Question 15

An oak tree was planted 22 years ago.How many seconds does this correspond to? (Do not take leap days into account. ) A)6.9 × 10⁸ B)1.2 × 10⁷ C)2.9 × 10⁷ D)2.8 × 10⁸

Accepted Answer

22 years = 22 * 365 * 24 * 60 * 60 = 6.9 * 10^8 seconds

Question 16

The following conversion equivalents are given: 1 m = 100 cm 1 in = 2.54 cm 1 ft = 12 in A bin has a volume of 1.5 m³.The volume of the bin,in ft³,is closest to: A)35 B)41 C)47 D)53 E)59

Accepted Answer

The answer of The following conversion equivalents are given: 
1...

Question 17

Express [ 2.2 × 10⁶]^-1/2 in scientific notation. A)6.7 × 10^-4 B)1.5 × 10³ C)1.5 × 10^-5 D)1.5 × 10⁴

Accepted Answer

[ 2.2 × 10⁶]^-1/2 = 10^{-1/2 * 6} * 2.2^-1/2 = 10^-3 * 2.2^-1/2 = 10^-3 * 0.67 = 6.7 × 10^-4

Question 18

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107  ?
A)15 ns
B)67 ns
C)11 ns
D)65 ns

Accepted Answer

The answer of How many nanoseconds does it take for...

Question 19

Your car gets 34.7 mi/gal on a trip.How many kilometers/liter did it get? (3.79 = 1 gal;1 mi = 1.61 km)
A)14.7 km/l
B)9.16 km/l
C)55.9 km/l
D)32.4 km/l

Accepted Answer

34.7 mi/gal * (1 gal/3.79 L) * (1.61 km/1 mi) = 14.7 km/L

Question 20

The wavelength of a certain laser is 0.66 microns,where 1 micron = 1 x 10-⁶ 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

0.66 microns = 0.66 x 10^-6 m = 6.6 x 10² nm

Quiz 1: Representing Motion

Add 3685 g and 66.8 kg and express your answer in milligrams (mg) .

What is 0.205^2/3,to the proper number of significant figures?

A person on a diet loses 1.6 kg in a week.How many micrograms/second (µg/s) are lost?

A marathon is 26 mi and 385 yd long.Estimate how many strides would be required to run a marathon.Assume a reasonable value for the average number of feet/stride.

What is to the proper number of significant figures?

A CD-ROM disk can store approximately 600.0 megabytes of information.If an average word requires 9.0 bytes of storage,how many words can be stored on one disk?

A plot of land contains 5.8 acres.How many square meters does it contain? [1 acre = 43,560 ft².]

The following conversion equivalents are given: 1 gal = 231 in³ 1 ft = 12 in 1 min = 60 s A pipe delivers water at the rate of 95 gal/min.The rate,in in3/s,is closest to:

The following conversion equivalents are given: 1 kg = 1000g 1 l = 1000 cm³ 11 = 0.0353 ft³ The density of a liquid is 0.83 g/cm³.The density of the liquid,in kg/ft³,is closest to:

Which of the following is a reasonable estimate of the number of characters (typed letters or numbers) in a 609 page book? Assume an average of 194 words/page and a reasonable average number of letters/word.

An equation that you will use later is x = at²,where a has units of acceleration,t has units of time,and x has units of distance.If t = 61.9 s,find the difference between the values of x obtained when a = 9.81 m/s² and when a = 10.0 m/s².

The following conversion equivalents are given: 1 mile = 5280 ft 1 ft = 12 in 1 m = 39.37 in 1 hour = 60 min 1 min = 60 s A particle has a velocity of 4.7 miles per hour.The velocity,in m/s,is closest to:

A weight lifter can bench press 171 kg.How many milligrams (mg) is this?

Estimate the number of times an average person's heart beats in a lifetime.Assume the average heart rate is 69 beats/min and a life span of 75 yr.

An oak tree was planted 22 years ago.How many seconds does this correspond to? (Do not take leap days into account. )

The following conversion equivalents are given: 1 m = 100 cm 1 in = 2.54 cm 1 ft = 12 in A bin has a volume of 1.5 m³.The volume of the bin,in ft³,is closest to:

Express [ 2.2 × 10⁶]^-1/2 in scientific notation.

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 107 ?

Your car gets 34.7 mi/gal on a trip.How many kilometers/liter did it get? (3.79 = 1 gal;1 mi = 1.61 km)

The wavelength of a certain laser is 0.66 microns,where 1 micron = 1 x 10-⁶ m.What is this wavelength in nanometers? (1 nm = 10^-9m)