Q: A bird flies 2.3 km in a direction 30° west of north. What is the northward (y-axis) component of its displacement?

$$2.3 \times \cos(30^\circ) km$$

Q: If a vector $$\vec{F}$$ makes an angle $$\theta$$ with the x-axis, what is its correct representation in unit vector notation?

$$\vec{F} = F \cos \theta \hat{i} + F \sin \theta \hat{j}$$

Q: A student needs to convert $$5$$ kilometers to meters. Which equation should they use?

$$5 \times 1000 = 5000$$ \text{ meters}$

Question 1

Which of the following best describes the role of physics in understanding biological processes such as muscle movement or neural signaling?

Accepted Answer

Physics is essential for understanding the forces, energy transfer, and motion involved in biological systems.

Question 2

A bird flies 2.3 km in a direction 30° west of north. What is the northward (y-axis) component of its displacement?

Accepted Answer

$$2.3 	imes \cos(30^\circ) km$$

Question 3

Which equation correctly expresses the relationship between three vectors $$\vec{A}$$, $$\vec{B}$$, and $$\vec{C} if$$ $$\vec{A} is $$the sum of $$\vec{B}$$ and $$\vec{C}$$?

Accepted Answer

$$\vec{A} = \vec{B} + \vec{C}$$

Question 4

If a vector $$\vec{F}$$ makes an angle $$	heta$$ with the x-axis, what is its correct representation in unit vector notation?

Accepted Answer

$$\vec{F} = F \cos 	heta \hat{i} + F \sin 	heta \hat{j}$$

Question 5

How many seconds are there in one week?

Accepted Answer

$$604800$$ seconds

Question 6

Which of the following is NOT a skill emphasized in this physics course?

Accepted Answer

Memorizing historical dates

Question 7

A student estimates the mass of a car as $$1 	imes 10^3$ kg. This is an example of:

Accepted Answer

An approximation

Question 8

Which of the following is a correct statement about vector components in two dimensions?

Accepted Answer

The vector forms the hypotenuse of a right triangle, and its components are the legs.

Question 9

Which of the following is a real-world application of vector arithmetic?

Accepted Answer

Calculating the net force on a bridge due to wind and gravity.

Question 10

If $$\vec{A}$$ has components $$A_x = 3$$ and $$A_y = 4$$, what is the magnitude of $$\vec{A}$$?

Accepted Answer

$$5$$

Question 11

Which of the following best explains why scientific notation is important in physics?

Accepted Answer

It makes calculations with very large or small numbers more manageable.

Question 12

A force vector $$\vec{F}$$ has a magnitude of $$10 N $$and points $$60^\circ$$ above the x-axis. What is the y-component of $$\vec{F}$$?

Accepted Answer

$$10 	imes \sin(60^\circ) N$$

Question 13

Which of the following is a correct approach to learning physics skills according to the course materials?

Accepted Answer

Practice solving many problems actively.

Question 14

A student needs to convert $$5$$ kilometers to meters. Which equation should they use?

Accepted Answer

$$5 	imes 1000 = 5000$$ 	ext{ meters}$

Question 15

Which of the following is a plausible misconception about vector addition?

Accepted Answer

Vectors can be added by simply adding their magnitudes.

Question 16

If a vector $$\vec{A}$$ points $$40^\circ$$ above the x-axis, what are its components?

Accepted Answer

$$A_x = A \cos 40^\circ$$, $$A_y = A \sin 40^\circ$$

Question 17

Which of the following is a reason why the universe appears so uniform over very large distances?

Accepted Answer

The laws of physics are the same everywhere.

Question 18

Which of the following is a correct statement about approximations in physics?

Accepted Answer

Approximations are used to simplify complex problems and make calculations feasible.

Question 19

A student is asked to find the resultant of two perpendicular vectors $$\vec{A}$$ and $$\vec{B}$$ with magnitudes $$3$$ and $$4$$ respectively. What is the magnitude of the resultant vector?

Accepted Answer

$$5$$

Question 20

Which of the following is a correct example of a unit conversion?

Accepted Answer

Converting $$100 cm to$$ $$1 m $$using $$1 m$$ $$= 100 cm.$$

Introduction to Physics: Approximations, Estimates, and Vector Arithmetic

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