Q: The speed of light is approximately $$3.00 \times 10^8$ m/s. Convert this speed to yards/week ($$\mathrm{yd/wk}$$). Use 1$ m = 1.094$ yd and 1$ week = 604$$,800$$ s.

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

Question 1

Which of the following is a correct example of a physical quantity and its SI unit?

Accepted Answer

Time measured in seconds

Question 2

A scientist measures the mass of a box and records it as 15 kg. What is the correct way to express this measurement using scientific notation?

Accepted Answer

$$1.5 	imes 10^1$ kg

Question 3

Which of the following prefixes represents the largest unit?

Accepted Answer

kilo-

Question 4

Express 6.5 hm (hectometers) in meters using the correct metric prefix conversion.

Accepted Answer

$$6.5 	imes 10^2$ m

Question 5

Which of the following is the correct scientific notation for the speed of light, $$299,800,000 m/s$$?

Accepted Answer

$$2.998 	imes 10^8$ m/s

Question 6

Convert $$22$$ lbs to kilograms using the appropriate conversion factor ($$1 kg$$ $$= 2.2$$ lbs).

Accepted Answer

$$10 kg$$

Question 7

A measurement is recorded as $$0.013200972000 s. $$How many significant figures does this value have?

Accepted Answer

11

Question 8

Which of the following equations is dimensionally consistent for calculating distance $$d in $$meters, given speed $$v in$$ $$\mathrm{m/s}$$ and time $$t in$$ $$\mathrm{s}$$?

Accepted Answer

$$d = v 	imes t$$

Question 9

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

Accepted Answer

$$\mathrm{m^3$\ kg$$^{-1}$$\ s$$^{-2}$$}$$

Question 10

A block has side lengths $$0.50 m$$, $$0.875 m$$, and $$2.250 m. $$Block B has a volume of $$2.6 m$^3. $$What is the combined volume of the blocks, expressed with the correct number of significant figures?

Accepted Answer

$$3.0 m$^3$$

Question 11

Which of the following measurements is a vector quantity?

Accepted Answer

Force

Question 12

Convert $$3,000,000,000 nm to $$decameters (dam).

Accepted Answer

$$0.3$$ dam

Question 13

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

Accepted Answer

As many times as the exponent in the unit

Question 14

Which of the following numbers has the greatest precision?

Accepted Answer

10.27 kg

Question 15

Rewrite $$9.98 	imes 10^7$ in standard form.

Accepted Answer

99,800,000

Question 16

The speed of light is approximately $$3.00 	imes 10^8$ m/s. Convert this speed to yards/week ($$\mathrm{yd/wk}$$). Use 1$ m = 1.094$ yd and 1$ week = 604$$,800$$ s.

Accepted Answer

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

Question 17

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

Accepted Answer

$$\mathrm{kg}$$, $$\mathrm{ft/s^2$}$$, $$\mathrm{N}$$

Question 18

Which rule should you use to determine the number of significant figures when adding $$5.389$$, $$-4.3$$, and $$0.103$$?

Accepted Answer

Round to the same number of decimal places as the value with the least decimal places

Question 19

Which of the following statements about dimensional consistency is correct?

Accepted Answer

Equations must have the same units on both sides to be valid

Measurement, Units, and Scientific Notation: Foundations for General Chemistry

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