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

$$2.998 \times 10^8$ \text{ m/s}

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} = 1.094 \text{ yd}$$ and 1$$ \text{ week} = 604,800 \text{ s}$$.

$$1.84 \times 10$$^{14}$$ \text{ yd/wk}

Q: Express $$0.0000529 \times 10$$^{-6}$$ m in scientific notation.

$$5.29 \times 10$$^{-11}$$ \text{ m}

Q: Which of the following is NOT a compatible group of SI units for the equation $$F = m a$$?

$$[\text{kg}] [\text{ft/s}^2]$$

Question 1

Which of the following is the correct SI unit for force?

Accepted Answer

Newton

Question 2

A student measures the mass of a box as 5 kg. What is the physical quantity and its unit in this measurement?

Accepted Answer

Physical quantity: Mass, Unit: Kilogram

Question 3

Express 6.5 hm (hectometers) in meters using metric prefixes.

Accepted Answer

$$6.5 	imes 10^2$ m

Question 4

Astronomers detect radio waves with wavelengths of $$3,000,000,000 nm. $$What is this wavelength expressed in decameters (dam)?

Accepted Answer

$$0.0003$$ dam

Question 5

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

Accepted Answer

$$2.998 	imes 10^8$ 	ext{ m/s}

Question 6

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

Accepted Answer

$$10 kg$$

Question 7

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} = 1.094 	ext{ yd}$$ and 1$$ 	ext{ week} = 604,800 	ext{ s}$$.

Accepted Answer

$$1.84 	imes 10$$^{14}$$ 	ext{ yd/wk}

Question 8

Density is defined as:

Accepted Answer

Mass divided by volume

Question 9

A wooden cylinder has a mass of $$2.64 kg $$and a volume of $$0.004 m$^3. $$What is its density?

Accepted Answer

$$660$$ $$kg/m^3$$

Question 10

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 11

Which of the following equations is dimensionally consistent for calculating distance $$d$$ when walking at a constant speed $$v$$ for time $$t$$?

Accepted Answer

$$d = v 	imes t$$

Question 12

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

Accepted Answer

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

Question 13

How many significant figures are in the number $$0.013200972000$$?

Accepted Answer

11

Question 14

Which of the following numbers has the greatest precision?

Accepted Answer

10.27 kg

Question 15

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

Accepted Answer

$$5.29 	imes 10$$^{-11}$$ 	ext{ m}

Question 16

When converting units with exponents, how many times should you multiply conversion factors?

Accepted Answer

As many times as the exponent

Question 17

A sphere has a radius of $$3 m. $$What is its volume?

Accepted Answer

$$\frac{4}{3} \pi (3)^3$ m^3$

Question 18

Which of the following is NOT a compatible group of SI units for the equation $$F = m a$$?

Accepted Answer

$$[	ext{kg}] [	ext{ft/s}^2]$$

Question 19

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

Accepted Answer

The number becomes smaller

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

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