Deck 1: Measurement

Question 1

1 m is equivalent to 3.281 ft. A cube with an edge of 1.5 ft has a volume of:

A) 1.2 *10² m³
B) 9.6 * 10^-2 m³
C) 10.5 m³
D) 9.5 * 10^-2 m³
E) 0.21 m³

Answer 1

9.6 * 10^-2 m³

Question 2

A cubic box with an edge of exactly 1 cm has a volume of:

A) 10^-9 m³
B) 10^-6 m³
C) 10^-3 m³
D) 10³ m³
E) 10⁶ m³

Answer 2

10^-6 m³

Question 3

Which of the following is closest to a yard in length?

A) 0.01 m
B) 0.1 m
C) 1 m
D) 100 m
E) 1000 m

Answer 3

1 m

Question 4

5.0 * 10⁵ + 3.0 *10⁶ =

A) 8.0 * 10⁵
B) 8.0 *10⁶
C) 5.3 * 10⁵
D) 3.5 *10⁵
E) 3.5 *10⁶

Question 5

(7.0 * 10⁶)/(2.0 *10^-6) =

A) 3.5 * 10^-12
B) 3.5 * 10^-6
C) 3.5
D) 3.5*10⁶
E) 3.5 *10¹²

Question 6

(5.0 * 10⁴⁾ * (3.0 *10^-6) =

A) 1.5 * 10^-3
B) 1.5 * 10^-1
C) 1.5 * 10¹
D) 1.5 * 10³
E) 1.5*10⁵

Question 7

A right circular cylinder with a radius of 2.3 cm and a height of 1.4 m has a volume of:

A) 0.20 m³
B) 0.14 m³
C) 9.3 *10^-3 m³
D) 2.3* 10^-3 m³
E) 7.4 * 10^-4 m³

Question 8

A sphere with a radius of 1.7 cm has a volume of:

A) 2.1 * 10^-5 m³
B) 9.1 *10^-4 m³
C) 3.6 * 10^-3 m³
D) 0.11 m³
E) 21 m³

Question 9

(5.0 *10⁴⁾ * (3.0 * 10⁶) =

A) 1.5 * 10⁹
B) 1.5*10¹⁰
C) 1.5 * 10¹¹
D) 1.5 * 10¹²
E) 1.5 * 10¹³

Question 10

Which of the following weighs about a pound?

A) 0.05 kg
B) 0.5 kg
C) 5 kg
D) 50 kg
E) 500 kg

Question 11

A square with an edge of exactly 1 cm has an area of:

A) 10^-6 m²
B) 10^-4 m²
C) 10² m²
D) 10⁴ m²
E) 10⁶ m²

Question 12

The SI base unit for mass is:

A) gram
B) pound
C) kilogram
D) ounce
E) kilopound

Question 13

A right circular cylinder with a radius of 2.3 cm and a height of 1.4 cm has a total surface area of:

A) 1.7 * 10^-3 m²
B) 3.2 * 10^-3 m²
C) 2.0 * 10^-3 m³
D) 5.3 * 10^-3 m²
E) 7.4 * 10^-3 m²

Question 14

A nanosecond is:

A) 10⁹ s
B) 10^-9 s
C) 10^-10 s
D) 10¹⁰ s
E) 10^-12

Question 15

In 1866, the U. S. Congress defined the U. S. yard as exactly 3600/3937 international meter. This was done primarily because:

A) length can be measured more accurately in meters than in yards
B) the meter is more stable than the yard
C) this definition relates the common U. S. length units to a more widely used system
D) there are more wavelengths in a yard than in a meter
E) the members of this Congress were exceptionally intelligent

Question 16

There is no SI base unit for area because:

A) an area has no thickness; hence no physical standard can be built
B) we live in a three (not a two) dimensional world
C) it is impossible to express square feet in terms of meters
D) area can be expressed in terms of square meters
E) area is not an important physical quantity

Question 17

The SI standard of length is based on:

A) the distance from the north pole to the equator along a meridian passing through Paris
B) wavelength of light emitted by Hg¹⁹⁸
C) wavelength of light emitted by Kr⁸⁶
D) a precision meter stick in Paris
E) the speed of light

Question 18

The SI standard of time is based on:

A) the daily rotation of the Earth
B) the frequency of light emitted by Kr⁸⁶
C) the yearly revolution of the Earth about the sun
D) a precision pendulum clock
E) none of these

Question 19

1 mi is equivalent to 1609 m so 55 mph is:

A) 15 m/s
B) 25 m/s
C) 66 m/s
D) 88 m/s
E) 1500 m/s

Question 20

A sphere with a radius of 1.7 cm has a surface area of:

A) 2.1 *10^-5 m²
B) 9.1 * 10^-4 m²
C) 3.6 * 10^-3 m²
D) 0.11 m²
E) 36 m²

Question 21

Suppose A = BC, where A has the dimensionsL/M and C has the dimensionsL/T. Then B has the dimension:

A) T/M
B) L²/TM
C) TM/L²
D) L²T/M
E) M/L²T

Question 22

A gram is:

A) 10^-6 kg
B) 10^-3 kg
C) 1 kg
D) 10³ kg
E) 10⁶ kg

Question 23

A sphere has a radius of 21 cm and a mass of 1.9 kg. Its mass density is about:

A) 2.0 * 10^-6 kg/m³
B) 2.0 * 10^-2 kg/m³
C) 1.4 kg/m³
D) 14 kg/m³
E) 49 kg/m³

Question 24

The number of significant figures in 15.0 is:

A) 1
B) 2
C) 3
D) 4
E) 5

Question 25

Suppose A = BⁿC^m, where A has dimensions LT, B has dimensions L²T^-1, and C has dimensions LT². Then the exponents n and m have the values:

A) 2/3; 1/3
B) 2; 3
C) 4/5; -1/5
D) 1/5; 3/5
E) 1/2; 1/2

Question 26

1.513 + 27.3 =

A) 29
B) 28.8
C) 28.9
D) 28.81
E) 28.813

Question 27

The number of significant figures in 0.00150 is:

A) 2
B) 3
C) 4
D) 5
E) 6

Question 28

The unit of mass density might be:

A) pound per cubic foot
B) gram per liter
C) kilogram per meter
D) cubic kilogram per meter
E) cubic meter per kilogram

Question 29

Two girders are made of the same material. Girder A is twice as long as girder B and has a cross-sectional area that is twice as great. The ratio of the mass density of girder A to the mass density of girder B is:

A) 4
B) 2
C) 1
D) 1/2
E) 1/4

Question 30

During a short interval of time the speed v in m/s of an automobile is given by v = at² + bt³, where the time t is in seconds. The units of a and b are respectively:

A) m.s²; m.s⁴
B) s³/m; s⁴/m
C) m/s²; m/s³
D) m/s³; m/s⁴
E) m/s⁴; m/s⁵

Question 31

3.2* 2.7 =

A) 9
B) 8
C) 8.6
D) 8.64
E) 8.640