Chapter 1, Problem 1.133QP

(a)

Interpretation Introduction

Interpretation:

The mass in kilogram has to be converted to micrograms.

Concept Introduction:

Conversion-factor method is the one which can be used to convert one metric unit into another.  With this, any unit can be converted to another unit by means of ratio.  The ratio that is used to convert unit is known as conversion-factor.  For example, one kilogram can be converted into gram by multiplying with 1000.

Answer to Problem 1.133QP

The given mass in kilogram is converted to micrograms as $\text{8}\text{.45 }\text{×}{\text{10}}^{\text{9}}\text{μg}$.

Explanation of Solution

Given mass in problem statement is $\text{8}\text{.45 kg}$.

Since, $\text{1}\text{kg}\text{=}{\text{10}}^{\text{3}}\text{g}$ and $\text{1}\text{μg}\text{=}{\text{10}}^{\text{-6}}\text{g}$, we can use this to convert the above unit in micrograms,

$\text{8}\text{.45 kg × }\frac{{\text{10}}^{\text{3}}\text{ g}}{\text{1 kg}}\text{ × }\frac{\text{1 μg}}{{\text{10}}^{\text{-6}}\text{ g}}\text{=}8.45\text{×}{\text{10}}^{\text{9}}\text{μg}$

The given mass was converted into micrograms as shown above.

(b)

Interpretation Introduction

Interpretation:

The time in microseconds has to be converted to milliseconds.

Concept Introduction:

Conversion-factor method is the one which can be used to convert one metric unit into another.  With this, any unit can be converted to another unit by means of ratio.  The ratio that is used to convert unit is known as conversion-factor.  For example, one kilogram can be converted into gram by multiplying with 1000.

Answer to Problem 1.133QP

The given microseconds is converted to milliseconds as $\text{3}\text{.18 }\text{×}{\text{10}}^{\text{-1}}\text{ms}$.

Explanation of Solution

Given time in problem statement is $\text{318 μs}$.

Since, $\text{1}\text{μs}\text{=}{\text{10}}^{\text{-6}}\text{s}$ and $\text{1}\text{ms}\text{=}{\text{10}}^{\text{-3}}\text{s}$, we can use this to convert the above unit in milliseconds,

$\text{318 μs × }\frac{{\text{10}}^{\text{-6}}\text{ s}}{\text{1 μs}}\text{ × }\frac{\text{1 ms}}{{\text{10}}^{\text{-3}}\text{ s}}\text{=}\text{3}\text{.18}\text{×}{\text{10}}^{\text{-1}}\text{ms}$

The given time was converted into milliseconds as shown above.

(c)

Interpretation Introduction

Interpretation:

The distance in kilometers has to be converted to nanometers.

Concept Introduction:

Conversion-factor method is the one which can be used to convert one metric unit into another.  With this, any unit can be converted to another unit by means of ratio.  The ratio that is used to convert unit is known as conversion-factor.  For example, one kilogram can be converted into gram by multiplying with 1000.

Answer to Problem 1.133QP

The given kilometers is converted to nanometers as $\text{9}\text{.3 }\text{×}{\text{10}}^{\text{13}}\text{nm}$.

Explanation of Solution

Given distance in problem statement is $\text{93 km}$.

Since, $\text{1}\text{km}\text{=}{\text{10}}^{\text{3}}\text{m}$ and $\text{1}\text{nm}\text{=}{\text{10}}^{\text{-9}}\text{m}$, we can use this to convert the above unit in nanometers,

$\text{93 km × }\frac{{\text{10}}^{\text{3}}\text{ m}}{\text{1 km}}\text{ × }\frac{\text{1 nm}}{{\text{10}}^{\text{-9}}\text{ m}}\text{=}\text{9}\text{.3}\text{×}{\text{10}}^{\text{13}}\text{nm}$

The given distance was converted into nanometers as shown above.

(d)

Interpretation Introduction

Interpretation:

The distance in millimeters has to be converted to centimeters.

Concept Introduction:

Conversion-factor method is the one which can be used to convert one metric unit into another.  With this, any unit can be converted to another unit by means of ratio.  The ratio that is used to convert unit is known as conversion-factor.  For example, one kilogram can be converted into gram by multiplying with 1000.

Answer to Problem 1.133QP

The given millimeters is converted to centimeters as $\text{3}\text{.71 cm}$.

Explanation of Solution

Given distance in problem statement is $\text{37}\text{.1 mm}$.

Since, $\text{1}\text{mm}\text{=}{\text{10}}^{\text{-3}}\text{m}$ and $\text{1}\text{cm}\text{=}{\text{10}}^{\text{-2}}\text{m}$, we can use this to convert the above unit in centimeters,

$\text{37}\text{.1 mm × }\frac{{\text{10}}^{\text{-3}}\text{ m}}{\text{1 mm}}\text{ × }\frac{\text{1 cm}}{{\text{10}}^{\text{-2}}\text{ m}}\text{=}\text{3}\text{.71 cm}$

The given distance was converted into centimeters as shown above.