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

$$1.84 \times 10$$^{12}$$ yd/wk

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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