Q: What is the dimension of density?

$$\text{mass} / \text{volume}$$

Q: Which of the following is an example of a 'magic one' used in unit conversion?

$$\frac{12 \text{ inches}}{1 \text{ foot}}$$

Question 1

Which of the following best describes the difference between accuracy and precision in scientific measurements?

Accepted Answer

Accuracy is how close a measurement is to the true value, while precision is how close repeated measurements are to each other.

Question 2

A ruler measures the length of a book as $$15.07 \pm 0.01 mm. $$What does the $$0.01 mm $$represent?

Accepted Answer

The estimated uncertainty in the measurement.

Question 3

Convert $$8.69 	imes 10^5$ to its full decimal value.

Accepted Answer

$$869,000$$

Question 4

Which of the following is the correct scientific notation for $$286.6 mm$$?

Accepted Answer

$$2.866 	imes 10$$^{-3}$$ m

Question 5

A light-year is the distance light travels in one year at a speed of $$2.998 	imes 10^8$ m/s. How many meters are in one light-year?

Accepted Answer

$$9.46 	imes 10$$^{15}$$ m

Question 6

What is the dimension of density?

Accepted Answer

$$	ext{mass} / 	ext{volume}$$

Question 7

If you multiply $$4.079 	imes 10^2$ m by 0.057$$ 	imes $$10^{-1} m$$, taking into account significant figures, what is the result?

Accepted Answer

$$2.3 m$^2$$

Question 8

Which of the following statements about models, theories, and laws is correct?

Accepted Answer

Models are used to help visualize phenomena, theories explain evidence, and laws describe how nature behaves.

Question 9

A typical atom has a diameter of about $$1.0 	imes 10$$^{-10}$$ m. How many atoms would fit along a 1.0$ cm line, assuming they just touch each other?

Accepted Answer

$$1.0 	imes 10^8$

Question 10

Which SI prefix corresponds to $$10^{-6}$$?

Accepted Answer

micro

Question 11

What is the difference between speed and velocity?

Accepted Answer

Speed is the magnitude of change in position, while velocity includes both magnitude and direction.

Question 12

Which of the following best describes displacement?

Accepted Answer

Displacement is the straight-line distance from the starting point to the ending point, including direction.

Question 13

If a drag racer accelerates from rest to $$100 m/s in$$ $$5$$ seconds, what is its average acceleration?

Accepted Answer

$$20 m/s$^2$$

Question 14

Which of the following is NOT a reason why units are important in physics?

Accepted Answer

Units are only needed for large quantities.

Question 15

What is the correct conversion for $$6.5$$ dozen objects to individual objects?

Accepted Answer

$$78$$ objects

Question 16

Which of the following is an example of a 'magic one' used in unit conversion?

Accepted Answer

$$\frac{12 	ext{ inches}}{1 	ext{ foot}}$$

Question 17

A hypothesis in scientific inquiry is best described as:

Accepted Answer

A tentative explanation that is tested to determine validity.

Question 18

If a measurement is reported as $$10.70 cm$$, what is the range of possible values due to uncertainty?

Accepted Answer

$$10.68 cm to$$ $$10.72 cm$$

Question 19

Which coordinate system is commonly used in physics to describe position?

Accepted Answer

Cartesian coordinates

Question 20

What is the main purpose of scientific inquiry?

Accepted Answer

To systematically investigate scientific facts or principles.

Physics Foundations: Units, Measurement, and 1D Kinematics

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