Measurements & Vectors

Multiple Choice

Which of the following statements best describes the nature of Physics?

• Physics is the exploration of human emotions and behavior.
• Physics is the study of the fundamental principles governing the natural world.
• Physics only studies celestial bodies and space.
• Physics is solely about mathematical equations.

Multiple Choice

What is a fundamental quantity?

• A fundamental quantity is a basic physical quantity that cannot be derived from other quantities.
• A fundamental quantity is derived from other physical quantities.
• A fundamental quantity is a measurement of time only.
• A fundamental quantity is a complex quantity that combines multiple measurements.

Multiple Choice

What is derived quantity?

• A derived quantity is a basic unit of measurement.
• A derived quantity is unrelated to fundamental quantities.
• A derived quantity is a theoretical concept without practical application.
• A derived quantity is a physical quantity that is derived from fundamental quantities.

Multiple Choice

Which of the following is NOT a fundamental quantity?

• Distance
• Mass
• Time
• Speed

Multiple Choice

Which of the following is NOT a derived quantity?

• Distance

• Speed

• Acceleration

• Area

Multiple Choice

Why are measurements important?

• Measurements are only useful in scientific experiments.
• Measurements can be subjective and vary from person to person.
• Measurements are important because they provide a standard for quantifying and comparing physical properties.
• Measurements are irrelevant in everyday life.

Match

Match the following units to its proper physical quantity.

• Length

• Speed

• Mass

• Force

• Electric Current

Meters

Meters per Seconds

Kilograms

Newtons

Amperes

• Meters

• Meters per Seconds

• Kilograms

• Newtons

• Amperes

Categorize

Options (20)

Length

Mass

Time

Temperature

Electric Current

Volume

Velocity

Acceleration

Force

Pressure

Meters

Kilometers

Kilograms

Seconds

Kelvin

Amperes

Grams

Minutes

Celsius

Kiloamps

Organize the following quantities based on their categorization.

Fundamental

Derived

SI Units

Non-SI Units

Multiple Choice

Accuracy is best defined as:

• Closeness of a measured value to the average value

• Closeness of a measured value to the true value

• Closeness of a measured value to each other

• Closeness of a measured value to the range mentioned

Multiple Choice

Precision is best defined as:

• Closeness of a measured value to the average value

• Closeness of a measured value to the true value

• Closeness of a measured value to each other

• Closeness of a measured value to the range mentioned

Multiple Choice

This bullseye demonstrates...

• High Accuracy & High Precision
• High Accuracy & Low Precision
• Low Accuracy & High Precision
• Low Accuracy & Low Precision

Match

Match the following types of errors to its proper definition.

• Systematic Error

• Random Error

• Human Error

Caused by the faulty device used.

Caused by the changes in environment.

Caused by the human doing the experiment

• Caused by the faulty device used.

• Caused by the changes in environment.

• Caused by the human doing the experiment

Multiple Choice

What errors occur in time measurements by a clock that runs too fast or slow?

• Systematic errors

• Random errors

• Human errors

• Neither of the choices

Multiple Choice

How many significant figures are there in 0.0070 ?

• 1

• 2

• 5

• none of these

Multiple Choice

State the following number 856.7 to 3 significant figures

• 857

• 860

• 856.70

• 856

Multiple Choice

Round this number to 1 significant figure

23.476

• 20

• 23

• 23.5

• 2

Multiple Choice

Get the sum of the following values and express it in correct significant figures:

1.90 [mm], 2.899 [mm], & 1.03 [mm]

• 6.0

• 5.8

• 5.83

• 5.829

Multiple Choice

Get the product of the following values and express it in correct significant figures:

0.18 [mm], 6.50 [mm], & 2.00 [mm]

• 2

• 2.3

• 2.4

• 2.34

Multiple Choice

Differentiate scalar and vector quantities.

• Scalar have only magnitude; vector have both magnitude and direction

• Scalar quantities are always larger than vector quantities.
• Scalar quantities have direction only; vector quantities have only magnitude.

• Scalar quantities have direction only; vector quantities have both magnitude and direction.

Match

Organize these options into the right categories.

• Distance

• Speed

• Force

• None

Scalar - Fundamental

Scalar - Derived

Vector - Derived

Vector - Fundamental

• Scalar - Fundamental

• Scalar - Derived

• Vector - Derived

• Vector - Fundamental

Match

Match the following unit vectors to their respective axis.

• x-axis

• y-axis

• z-axis

i

j

k

• i

• j

• k

Multiple Choice

Given the vector L = L_xi + L_yj, which of the following statements can be correctly interpreted?

• Vector L is a scalar quantity.

• Magnitude of the z-component is greater than zero.

• Magnitude of the x-component is not equal to zero.

• Vector L is a three-dimensional vector.

Multiple Choice

If vector G is in two dimensional space, then its components would be written as:

Multiple Choice

It is the method to combine two or more vectors to get the sum or the resultant vector.

• Vector Addition

• Vector Subtraction

• Vector Multiplication

• Vector Components

Multiple Choice

True or False: Vector Addition follows the basic rules of algebra.

• TRUE

• FALSE

Match

Match the following methods of processing vectors.

• Tip-to-Tail Method

• Parallelogram Method

• Polygon Method

• Component Method

Connects the tail and head of vectors.

Relates the vectors using parallelogram.

Used for three or more vectors.

Analytical approach of studying vectors.

• Connects the tail and head of vectors.

• Relates the vectors using parallelogram.

• Used for three or more vectors.

• Analytical approach of studying vectors.

Math Response

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant as shown in the figure. Solve for the magnitude resultant vector.

Type answer here

Correct Answer: 0.90

Deg^°

Rad

Math Response

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant as shown in the figure. Solve for the angle of the resultant vector.

Type answer here

Correct Answer: 60

Deg^°

Rad

Multiple Choice

Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0° below the x-axis in the fourth quadrant as shown in the figure. What is the final direction of the resultant vector?

• East of North

• North of East

• South of East

• East of South