Q: If the diameter of a hydrogen atom is $$1 \times 10$$^{-10}$$ m, what is the approximate volume of a single atom in cubic meters?

$$5.2 \times 10$$^{-30}$$ \text{ m}^3$

Q: If the average human body contains $$6 \times 10$$^{27}$$ water molecules, how many molecules are there in 10 people?

$$6 \times 10$$^{28}$$ molecules$

Question 1

The age of the Universe is about 14 billion years (where one billion is $$1 	imes 10^9$). Express the age of the Universe in seconds.

Accepted Answer

$$4.4 	imes 10$$^{17}$$ s$

Question 2

How many supernovae (SN) do the following numbers have: 3, 4, 2, 2?

Accepted Answer

2 SN

Question 3

The Sun is about 93 million miles from Earth. How many meters is this in scientific notation? ($$1 	ext{ mile} = 1610 	ext{ m})$$

Accepted Answer

$$1.5 	imes 10$$^{11}$$ m$

Question 4

A typical atom has a diameter of about $$1 	imes 10$$^{-10}$$ m. About how many atoms are there along a 1 cm line?

Accepted Answer

$$10^9$$ atoms$

Question 5

How much water does a human drink in a lifetime of 70 years, with a 2 liters/day average?

Accepted Answer

$$5 	imes 10^4$ Liters$

Question 6

If the diameter of a hydrogen atom is $$1 	imes 10$$^{-10}$$ m, what is the approximate volume of a single atom in cubic meters?

Accepted Answer

$$5.2 	imes 10$$^{-30}$$ 	ext{ m}^3$

Question 7

A commercial airplane cruises at an altitude of 12,300 m. Express this altitude in kilometers using scientific notation.

Accepted Answer

$$1.23 	imes 10^1$ km$

Question 8

If a person drinks 2 liters of water per day, how many milliliters do they consume in a year?

Accepted Answer

$$7.3 	imes 10^5$ 	ext{ mL}$

Question 9

The speed of light is $$3.0 	imes 10^8$ m/s. How long does it take light to travel from the Sun to Earth, a distance of 1.5$$ 	imes $$10^{11} m$$?

Accepted Answer

$$8.3$$ min$

Question 10

If the average human lifespan is 70 years, how many seconds is this?

Accepted Answer

$$2.2 	imes 10^9$ s$

Question 11

A city is 1,505 meters above sea level. Express this altitude in kilometers in scientific notation.

Accepted Answer

$$1.505 	imes 10^0$ km$

Question 12

If the diameter of a carbon atom is $$1.5 	imes 10$$^{-10}$$ m, how many carbon atoms can fit in a line 1 cm long?

Accepted Answer

$$6.7 	imes 10^7$ atoms$

Question 13

A marathon is 26.2 miles long. Convert this distance to meters using $$1 	ext{ mile} = 1610 	ext{ m}.$$

Accepted Answer

$$4.22 	imes 10^4$ m$

Question 14

If the average human heart beats 70 times per minute, how many times does it beat in a 70-year lifetime?

Accepted Answer

$$2.6 	imes 10^9$ beats$

Question 15

A scientific notation question: Which of the following is the correct way to write 150,000,000 in scientific notation?

Accepted Answer

$$1.5 	imes 10^8$

Question 16

If a person walks 5 km every day, how many meters do they walk in a year?

Accepted Answer

$$1.825 	imes 10^6$ m$

Question 17

A car travels at 60 miles per hour. How many meters does it travel in 2 hours? ($$1 	ext{ mile} = 1610 	ext{ m})$$

Accepted Answer

$$1.93 	imes 10^5$ m$

Question 18

If the average human body contains $$6 	imes 10$$^{27}$$ water molecules, how many molecules are there in 10 people?

Accepted Answer

$$6 	imes 10$$^{28}$$ molecules$

Question 19

A city has a population of $$2.5 	imes 10^6$ people. If each person drinks 2 liters of water per day, how many liters does the city consume in a year?

Accepted Answer

$$1.825 	imes 10^9$ L$

Question 20

If the mass of the Earth is $$6 	imes 10$$^{24}$$ kg and the mass of the Sun is 2$$ 	imes $$10^{30} kg$$, what is the ratio of the Sun's mass to Earth's mass?

Accepted Answer

$$3.3 	imes 10^5$

Scientific Notation and Estimation in Physics: Study Notes

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드