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

$$[\mathrm{lb}] \times [\mathrm{ft/s^2$}] = [\mathrm{ft\cdot lb}]$$

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

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

Question 1

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

Accepted Answer

Newton ($$\mathrm{N})$$

Question 2

A car travels 5.0 km. Express this distance in meters using the correct metric prefix conversion.

Accepted Answer

$$5.0 	imes 10^3$ m

Question 3

Which of the following numbers is correctly written in scientific notation?

Accepted Answer

$$3.0450627 	imes 10^2$

Question 4

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

Accepted Answer

$$10 kg$$

Question 5

The density of a wooden cylinder is calculated as $$\rho = \frac{m}{V}. If $$the mass is $$567 g $$and the volume is $$0.85 L$$, what is the density in $$\mathrm{kg/m^3$}$$? (1 L = $$10^{-3} m$^3)$$

Accepted Answer

$$667 kg/m$^3$$

Question 6

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

Accepted Answer

$$4.8 	imes 10$$^{-2}$$ m

Question 7

Which equation is dimensionally consistent for calculating distance $$d if $$speed $$v is in$$ $$\mathrm{m/s}$$ and time $$t is in$$ $$\mathrm{s}$$?

Accepted Answer

$$d = v 	imes t$$

Question 8

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 $$m_2 in kg$$, and $$r in m$$, what are the units of the universal constant $$G$$?

Accepted Answer

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

Question 9

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

Accepted Answer

9

Question 10

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

Accepted Answer

$$2.998 	imes 10^8$ m/s

Question 11

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

Accepted Answer

$$3 	imes 10$$^{-4}$$ dam

Question 12

A sphere has a radius of $$3960 mi. If $$the average density of Earth is $$5500 kg/m$^3$$, what is the mass of Earth? (1 mi = $$1609 m)$$

Accepted Answer

$$5.97 	imes 10$$^{24}$$ kg

Question 13

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

Accepted Answer

$$[\mathrm{lb}] 	imes [\mathrm{ft/s^2$}] = [\mathrm{ft\cdot lb}]$$

Question 14

Convert $$100 ft$^2 to m$^2$$ using the conversion $$1 ft$$ = $$0.305 m.$$

Accepted Answer

$$9.3 m$^2$$

Question 15

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

Accepted Answer

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

Question 16

Which of the following statements about significant figures is TRUE?

Accepted Answer

Trailing zeros in a decimal number are significant.

Question 17

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

Accepted Answer

$$99,800,000$$

Question 18

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

Accepted Answer

As many times as the value of the exponent

Question 19

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

Accepted Answer

$$V = \pi r^2$ h$$

Physics Study Guide: Measurement, Units, Scientific Notation, and Dimensional Analysis

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