Deck 1: Representing Motion

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 × 10⁶ mg

Answer 1

7.05 × 10⁷ mg

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

Answer 2

0.348

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

Answer 3

2.6 × 10³ μg/s

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

Question 5

What is to the proper number of significant figures?

A)0.91
B)0.911
C)0.9108
D)0.9

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 × 10⁷ words
D)2.0 × 10⁹ 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

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

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

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

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

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

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

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

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

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

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

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

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

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

Question 21

Since vectors always have positive magnitudes,the sum of two vectors must have a magnitude greater than the magnitude of either one of them.

Question 22

If the average speed of an object is zero,then its average velocity must be zero;but if its average velocity is zero,its average speed is not necessarily zero.

Question 23

The change in the position vector of a moving object is equal to the distance it has moved.

Question 24

What are some advantages of using scientific notation to express very large or very small numbers?

Question 25

If a vector pointing to the right has a positive magnitude,then one pointing to the left has a negative magnitude.

Question 26

If you needed to estimate the number of gallons of gasoline burned in the United States each year by automobiles,what quantities would you need to assume? What formula would you need to use?

Question 27

If a bird is moving at 3.5 m/s at a certain instant of time,then it will travel 3.5 m in the next second.

Question 28

If the final position vector of a moving object has a smaller magnitude than the initial position vector,then the change in the object's position vector has a positive magnitude.

Question 29

The length of a certain piece of wood is stated as 12.946 cm.Thinking in terms of accuracy and significant figures,what value would you obtain if you measured this board with a ruler whose smallest division is the millimeter?

Question 30

A possible unit for the measure of time would be the period of your own pulse.Why might this unit not be a good choice for a time standard?