Q: Which of the following is the correct way to express the speed of light in SI units?

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

Question 1

Which of the following is NOT one of the three fundamental quantities in physics as defined by the SI system?

Accepted Answer

Temperature

Question 2

A student measures the width of a notebook as 21.0 cm and its length as 29.7 cm. What is the area of the notebook, expressed with the correct number of significant figures?

Accepted Answer

$$623\ \mathrm{cm}^2$$

Question 3

Which of the following best describes a vector quantity?

Accepted Answer

A quantity with both magnitude and direction

Question 4

A car travels 60 km east and then 80 km north. What is the magnitude of its displacement from the starting point?

Accepted Answer

$$100\ \mathrm{km}$$

Question 5

Which of the following equations is dimensionally consistent?

Accepted Answer

$$x = vt$$

Question 6

A measurement is recorded as $$0.00450\ \mathrm{m}. $$How many significant figures does this value have?

Accepted Answer

3

Question 7

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

Accepted Answer

$$\mathrm{N}$$

Question 8

A vector $$\vec{A}$$ has components $$A_x = 3\ \mathrm{m}$$ and $$A_y = 4\ \mathrm{m}. $$What is the magnitude $$|\vec{A}|$$?

Accepted Answer

$$5\ \mathrm{m}$$

Question 9

Which of the following is a correct statement about the cross product of two vectors $$\vec{A}$$ and $$\vec{B}$$?

Accepted Answer

It is perpendicular to both $$\vec{A}$$ and $$\vec{B}$$

Question 10

A student adds $$5.77\ \mathrm{cm}$$ and $$9.9\ \mathrm{cm}$$ and writes $$15.67\ \mathrm{cm} as $$the answer. What is the correct answer with proper significant figures?

Accepted Answer

$$15.7\ \mathrm{cm}$$

Question 11

Which of the following prefixes corresponds to $$10^{-6}$$?

Accepted Answer

micro

Question 12

If $$\vec{A} = 2\hat{i} + 3\hat{j}$$ and $$\vec{B} = -\hat{i} + 4\hat{j}$$, what is $$\vec{A} + \vec{B}$$?

Accepted Answer

$$\hat{i} + 7\hat{j}$$

Question 13

A vector $$\vec{C} is $$defined as $$\vec{C} = 5\hat{i} - 12\hat{j}. $$What is the direction of $$\vec{C}$$ with respect to the positive $$x-$$axis?

Accepted Answer

$$\arctan\left(\frac{12}{5}\right)$$ below the $$x-$$axis

Question 14

Which of the following is a correct example of dimensional analysis?

Accepted Answer

$$v = at$$ \quad $$[L/T] = [L/T^2$][T] = [L/T]$$

Question 15

A measurement is given as $$2.30 	imes 10^3$\ \mathrm{kg}. $$How many significant figures does this value have?

Accepted Answer

3

Question 16

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Question 17

A vector $$\vec{A}$$ has a magnitude of $$10\ \mathrm{m}$$ and points $$30^\circ$$ above the $$x-$$axis. What is its $$y-$$component?

Accepted Answer

$$10 \sin 30^\circ$$

Question 18

Which of the following is the correct result for the dot product $$\vec{A} \cdot \vec{B} if$$ $$\vec{A}$$ and $$\vec{B}$$ are perpendicular?

Accepted Answer

$$0$$

Question 19

A runner completes a lap around a 400 m track, ending at the starting point. What is the displacement vector for the lap?

Accepted Answer

$$0\ \mathrm{m}$$

Question 20

Which of the following is the correct way to express the speed of light in SI units?

Accepted Answer

$$2.998 	imes 10^8$\ \mathrm{m/s}$$

Chapter 1: Units, Physical Quantities, and Vectors – Study Notes

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