In this worksheet, we will practice converting from a unit with a given SI prefix to the same unit with a different SI prefix.

**Q1: **

A person in good physical condition can provide W of useful electrical power by doing mechanical work, neglecting any problems of generator efficiency and practical considerations such as resting time.

How many people would it take to run a 4.00-kW electric clothes dryer?

How many people would it take to replace a large electric power plant that generates 800 MW?

- A
- B
- C
- D
- E

**Q3: **

The density of gold is 19.3 g/cm^{3}. What is the
density in kilograms per cubic meter?

**Q4: **

The density of nuclear matter is about kg/m^{3}. Given that 1 mL
is equal in volume to 1 cm^{3}, what is the density of nuclear matter in Mg/µL?

Prefix | Symbol | Meaning | Prefix | Symbol | Meaning |
---|---|---|---|---|---|

yotta- | Y | 10^{24} |
yocto- | y | 10^{−24} |

zetta- | Z | 10^{21} |
zepto- | z | 10^{−21} |

exa- | E | 10^{18} |
atto- | a | 10^{−18} |

peta- | P | 10^{15} |
femto- | f | 10^{−15} |

tera- | T | 10^{12} |
pico- | p | 10^{−12} |

giga- | G | 10^{9} |
nano- | n | 10^{−9} |

mega- | M | 10^{6} |
micro- | μ | 10^{−6} |

kilo- | k | 10^{3} |
milli- | m | 10^{−3} |

hecto- | h | 10^{2} |
centi- | c | 10^{−2} |

deka- | da | 10^{1} |
deci- | d | 10^{−1} |

- A Mg/µL
- B Mg/µL
- C Mg/µL
- D Mg/µL
- E Mg/µL

**Q5: **

Intensities to which the ear can respond, from the threshold of hearing to the intensity which causes damage after even brief exposure, differ by a factor of . If you could measure distances over the same range of values with a single instrument and the smallest distance that the instrument could measure was 1 mm, what would be the largest distance that the instrument could measure?

- A 1 km
- B 10 m
- C km
- D km
- E km

**Q6: **

What is the volume of Jupiter in cubic
km^{3}?
Use a value of
m^{3}
for the volume of Jupiter.

- A
km
^{3} - B
km
^{3} - C
km
^{3} - D
km
^{3} - E
km
^{3}

**Q7: **

Mars has a mass of kg
and has a volume of km^{3}.

Calculate the density of Mars in kg/m^{3}.

- A
kg/m
^{3} - B
kg/m
^{3} - C
kg/m
^{3} - D
kg/m
^{3} - E
kg/m
^{3}

Calculate the diameter of Mars in km.

**Q8: **

For an series circuit, , , and .

If an ac source of variable frequency is connected to the circuit, at what frequency is maximum power dissipated in the resistor?

What is the quality factor of the circuit?

**Q9: **

What is the area of a circle 3.102 cm in diameter?

**Q10: **

Restate the mass kg using a metric prefix such that the resulting numerical value is greater than one but less than 1 000.