Q: A car travels 5 kilometers. How many meters has it traveled? (Use unit conversion principles.)

$$5 \times 1000 = 5000$$ meters

Q: A vector $$\vec{B}$$ has components $$B_x = -6$$ and $$B_y = 8. $$What is the angle $$\theta it $$makes with the positive $$x-$$axis?

$$\theta = \tan$$^{-1}$$\left(\frac{8}{-6}\right) = 126.9^\circ$$

Q: A force of $$10 N is $$applied to move an object a distance of $$5 m. $$What is the work done, and what is its SI unit?

$$W = F \times d = 10 \times 5 = 50 J$$

Q: Which of the following is the correct formula for the dot product of two vectors $$\vec{A}$$ and $$\vec{B}$$ with an angle $$\theta$$ between them?

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

Question 1

Which of the following statements best describes a physical law in physics?

Accepted Answer

A physical law is a principle that describes a consistent relationship or behavior observed in the physical universe, expressed in a concise, mathematical form.

Question 2

A car travels 5 kilometers. How many meters has it traveled? (Use unit conversion principles.)

Accepted Answer

$$5 	imes 1000 = 5000$$ meters

Question 3

Which of the following is NOT a base unit in the International System of Units (SI)?

Accepted Answer

Joule

Question 4

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

Accepted Answer

$$|\vec{A}| = \sqrt{3^2$ + 4^2$} = 5$$

Question 5

Which of the following quantities is a scalar?

Accepted Answer

Mass

Question 6

A measurement is recorded as $$0.0500 kg. $$How many significant figures does this value have?

Accepted Answer

3

Question 7

Which of the following is the correct dimensional formula for force?

Accepted Answer

$$[M][L][T]^{-2}$$

Question 8

A student measures the length of a table as $$2.35 m $$and its width as $$1.2 m. $$What is the area, with the correct number of significant figures?

Accepted Answer

$$2.8 m$^2$$

Question 9

Which of the following best describes the difference between experimental and theoretical physics?

Accepted Answer

Experimental physics involves conducting experiments and collecting data, while theoretical physics develops mathematical models and explanations.

Question 10

A vector $$\vec{B}$$ has components $$B_x = -6$$ and $$B_y = 8. $$What is the angle $$	heta it $$makes with the positive $$x-$$axis?

Accepted Answer

$$	heta = 	an$$^{-1}$$\left(\frac{8}{-6}ight) = 126.9^\circ$$

Question 11

Which of the following is a derived unit in the SI system?

Accepted Answer

Newton

Question 12

A force of $$10 N is $$applied to move an object a distance of $$5 m. $$What is the work done, and what is its SI unit?

Accepted Answer

$$W = F 	imes d = 10 	imes 5 = 50 J$$

Question 13

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

Accepted Answer

Micro

Question 14

Which of the following is a correct statement about the cross product of two vectors?

Accepted Answer

The cross product of two parallel vectors is a zero vector.

Question 15

A vector $$\vec{A} is $$given by $$\vec{A} = 2\hat{i} + 3\hat{j}. $$What is the projection of $$\vec{A}$$ onto the $$x-$$axis?

Accepted Answer

2

Question 16

Which of the following best describes the principle of dimensional homogeneity?

Accepted Answer

All terms in a physical equation must have the same dimensions.

Question 17

A student adds $$2.5 m $$and $$30 cm. $$What is the correct sum in meters, with the proper number of significant figures?

Accepted Answer

$$2.5 m$$ + $$0.30 m$$ = $$2.8 m$$

Question 18

Which of the following is NOT a source of measurement uncertainty?

Accepted Answer

Perfect calibration

Question 19

If $$\vec{A} = 4\hat{i} + 3\hat{j}$$ and $$\vec{B} = -2\hat{i} + 5\hat{j}$$, what is $$\vec{A} + \vec{B}$$?

Accepted Answer

$$2\hat{i} + 8\hat{j}$$

Question 20

Which of the following is the correct formula for the dot product of two vectors $$\vec{A}$$ and $$\vec{B}$$ with an angle $$	heta$$ between them?

Accepted Answer

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

Units, Physical Quantities, and Vectors: Comprehensive Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards