Question 1

Which of the following statements best describes a physical quantity in physics?

Accepted Answer

A measurement that has both a number and a unit.

Question 2

Which metric prefix represents $10^{-6}$?

Accepted Answer

micro-

Question 3

Express 0.0000529 $	imes$ $10^6$ m in scientific notation.

Accepted Answer

$5.29 	imes 10^1$ m

Question 4

Rewrite 299,800,000 m/s in scientific notation.

Accepted Answer

$2.998 	imes 10^8$ m/s

Question 5

Convert 22 lbs to kilograms using the conversion factor $1 	ext{ kg} = 2.2 	ext{ lbs}$.

Accepted Answer

$10$ kg

Question 6

The speed of light is approximately $3.00 	imes 10^8$ m/s. Convert this speed to yards/week (yd/wk). Use $1 	ext{ m} = 1.09 	ext{ yd}$ and $1 	ext{ wk} = 604,800 	ext{ s}$.

Accepted Answer

$1.84 	imes 10^{12}$ yd/wk

Question 7

A wooden cylinder has a mass of 2.5 kg and a volume of $0.0112$ m$^3$. What is its density?

Accepted Answer

$222$ kg/m^3

Question 8

An iron cube has a mass of $0.515$ kg. The density of iron is $7.87 	imes 10^3$ kg/m$^3$. What is the length of one side of the cube?

Accepted Answer

$0.050$ m

Question 9

Which equation is dimensionally consistent for calculating distance $d$ when walking at a constant speed $v$ for time $t$?

Accepted Answer

$d = v 	imes t$

Question 10

Newton's Law of Gravitation is $F = G \frac{m_1 m_2}{r^2}$. If $F$ is in Newtons ($N$), $m_1$ and $m_2$ are in kg, and $r$ is in meters, what are the units of the Universal Constant $G$?

Accepted Answer

$\frac{m^3}{kg \ s^2}$

Question 11

How many significant figures are in the number 0.013200972000?

Accepted Answer

9

Question 12

Which of the following numbers has the greatest precision?

Accepted Answer

10.27 kg

Question 13

Convert 100 ft$^2$ to m$^2$ using $1 	ext{ ft} = 0.305$ m.

Accepted Answer

$9.3$ m$^2$

Question 14

Which of the following is the correct formula for the volume of a sphere?

Accepted Answer

$V = \frac{4}{3} \pi r^3$

Question 15

If you shift a number from a smaller to a bigger metric unit, what happens to the number?

Accepted Answer

It becomes smaller.

Question 16

Which of the following is the correct scientific notation for the mass of Earth, $5,972,000,000,000,000,000,000,000$ kg?

Accepted Answer

$5.972 	imes 10^{24}$ kg

Question 17

Which of the following equations is dimensionally consistent for calculating the distance $x$ when $v$ is in m/s, $a$ in m/s$^2$, and $t$ in s?

Accepted Answer

$x = v t + \frac{1}{2} a t^2$

Fundamental Concepts in Physics: Measurement, Units, and Scientific Notation

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