Q: Which equation correctly relates distance, speed, and time for dimensional analysis?

$$distance = speed \times time$$

Q: A student converts 1 inch to centimeters. What is the correct conversion factor?

$$1 \text{ inch} = 2.54 \text{ cm}$$

Q: What is the angle $$\theta$$ between two vectors $$\vec{A}$$ and $$\vec{B}$$ given by the dot product formula?

$$\cos \theta = \frac{\vec{A} \cdot \vec{B}}{|\vec{A}| |\vec{B}|}$$

Q: A paint can contains $$2.306 \times 10^3$ in^3$ of paint and can cover an area of 25$ m^2$. What is the thickness of the paint layer in meters? (1 inch = 2.54 cm)

$$t = \frac{3.78 \times 10$$^{-3}$$ \text{ m}^3}{25 \text{ m}^2} = 1.5 \times 10$$^{-4}$$ \text{ m}$$

Question 1

Which of the following best describes a scientific theory according to the study materials?

Accepted Answer

A theory is a well-substantiated explanation for facts that can grow as it expands to explain more observations.

Question 2

What is the correct definition of a meter in the SI system?

Accepted Answer

The distance light travels in 1/299,792,458 of a second in a vacuum.

Question 3

Which of the following is NOT a central component of scientific and critical thinking?

Accepted Answer

Dogmatism

Question 4

A student measures the length of an object as 0.00450 m. How many significant figures does this measurement have?

Accepted Answer

3

Question 5

Which equation correctly relates distance, speed, and time for dimensional analysis?

Accepted Answer

$$distance = speed 	imes time$$

Question 6

If you add 12.34 m and 0.56 m, how many digits should be to the right of the decimal in your answer according to significant figure rules?

Accepted Answer

2

Question 7

Which prefix represents $$10^{-15} in $$the metric system?

Accepted Answer

Femto

Question 8

A vector has a magnitude of 10 units and a direction of 30°. What are its x and y components?

Accepted Answer

$$x = 10 \cos(30^\circ), y = 10 \sin(30^\circ)$$

Question 9

Which of the following is a scalar quantity?

Accepted Answer

Mass

Question 10

What is the magnitude of the vector $$\vec{A} = 3\hat{i} + 4\hat{j}$$?

Accepted Answer

$$5$$

Question 11

If you multiply 2.1 m by 3.00 m, how many significant figures should your answer have?

Accepted Answer

2

Question 12

Which of the following best describes the difference between a law and a theory in science?

Accepted Answer

A law is a universally true observation, while a theory is an explanation for facts that can grow as it expands.

Question 13

Which of the following is NOT a major category in physics?

Accepted Answer

Biochemistry

Question 14

A student converts 1 inch to centimeters. What is the correct conversion factor?

Accepted Answer

$$1 	ext{ inch} = 2.54 	ext{ cm}$$

Question 15

Which of the following is the correct way to add two vectors $$\vec{A}$$ and $$\vec{B} in $$component form?

Accepted Answer

$$\vec{C} = (A_x + B_x)\hat{i} + (A_y + B_y)\hat{j}$$

Question 16

What is the angle $$	heta$$ between two vectors $$\vec{A}$$ and $$\vec{B}$$ given by the dot product formula?

Accepted Answer

$$\cos 	heta = \frac{\vec{A} \cdot \vec{B}}{|\vec{A}| |\vec{B}|}$$

Question 17

A paint can contains $$2.306 	imes 10^3$ in^3$ of paint and can cover an area of 25$ m^2$. What is the thickness of the paint layer in meters? (1 inch = 2.54 cm)

Accepted Answer

$$t = \frac{3.78 	imes 10$$^{-3}$$ 	ext{ m}^3}{25 	ext{ m}^2} = 1.5 	imes 10$$^{-4}$$ 	ext{ m}$$

Question 18

Which of the following best describes the role of mathematics in physics?

Accepted Answer

Mathematics is the language used to precisely describe phenomena in nature.

Question 19

Which of the following is a correct statement about significant figures when multiplying and dividing?

Accepted Answer

The answer should have the same number of significant figures as the number with the least significant figures in the calculation.

Physics 2325: Units, Physical Quantities, and Vectors – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards