Physics Chapter: Adding Vectors Quiz

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Questions and Answers

What is the total distance Lucky drives after exiting her driveway?

4.63 miles (correct)

3.63 miles

4.55 miles

5.03 miles

What is the resultant force acting on a body with a force of 200 N East and another force of 150 N at 30 degrees North of West?

190 N

250 N

220 N

280 N (correct)

If a jogger runs 30 km North and then 20 km West, how far is she from her starting point?

45 km

50 km

25 km

36 km (correct)

Why is measurement considered important according to the content?

It allows for the accurate assessment of distances, time, and conditions. Signup and view all the answers

What direction is the resultant displacement of Lucky's drive when considering her movements?

Southeast Signup and view all the answers

What defines a vector quantity?

It has both magnitude and direction. Signup and view all the answers

Which of the following is an example of a scalar quantity?

Distance Signup and view all the answers

Which unit is NOT a derived unit?

Meter (m) Signup and view all the answers

In which case is a vector quantity correctly represented?

50 m to the left Signup and view all the answers

Which of these quantities is classified as a vector?

Acceleration Signup and view all the answers

Which type of zero is always considered significant?

Zeroes between nonzero digits Signup and view all the answers

How many significant figures are in the measurement 440.0 m?

4 Signup and view all the answers

What determines the last digit retained in a sum or difference?

The first doubtful digit Signup and view all the answers

In multiplication, how many significant figures should be in the final answer?

No more than the least number of significant figures used in the operation Signup and view all the answers

How many significant figures are in the number 24,300 km if no decimal point is shown?

3 Signup and view all the answers

What is the reported result of 37.24 mL + 10.3 mL?

45.5 mL Signup and view all the answers

Given the exact quantity of 1 yard = 3 feet, how many significant figures does this conversion have?

infinite Signup and view all the answers

When performing subtraction, what is the maximum number of significant figures retained?

The digits up to the first doubtful digit from the smallest value Signup and view all the answers

What is the first step in converting a number to scientific notation?

Move the decimal point until there is a single digit to the left Signup and view all the answers

If the decimal is moved 7 places to convert 12,000,234.00 to scientific notation, what is the correct exponent of 10?

7 Signup and view all the answers

Which of the following is the correct scientific notation for 10,042,017?

1.0042017 x 10^7 Signup and view all the answers

In terms of accuracy and precision, what does accuracy refer to?

The closeness of measured values to the actual value Signup and view all the answers

What type of error occurs due to uncalibrated equipment?

Systematic error Signup and view all the answers

How is precision defined in the context of measurements?

Variability of repeated measurements Signup and view all the answers

Which of the following is NOT a common conversion factor?

125.50 km to miles Signup and view all the answers

What does moving the decimal point in a number signify when converting to scientific notation?

It affects the exponent in the scientific notation Signup and view all the answers

What is the total displacement when a man walks 54.5 meters east and then 30 meters east?

84.5 meters east Signup and view all the answers

How is displacement calculated when a man walks 54.5 meters east and then 30 meters west?

54.5 - 30 Signup and view all the answers

What is the resultant displacement when a man walks 95 km east and then 55 km north?

100 km at a specific angle Signup and view all the answers

To find the horizontal component of a vector that is 21 m at an angle of 45 degrees north of east, what formula is used?

Ax = A cos 45 Signup and view all the answers

If a person walks 65 m at an angle of 25 degrees north of east, what is the vertical component of his displacement?

65 sin 25 Signup and view all the answers

What does the term 'collinear vectors' refer to?

Vectors that are parallel to the same line with the same or opposite directions Signup and view all the answers

For the multiple vectors A = 4 m at 40° N of E and B = 2 m E, how is the resultant's x-component calculated?

Rx = Ax + Bx Signup and view all the answers

If Siam walks 26 yards to the north and then returns 12 yards to the south, what is his net displacement?

14 yards north Signup and view all the answers

Study Notes

Adding Vectors

Collinear vectors are parallel to the same line; addition occurs if in the same direction and subtraction if in opposite directions.
Non-collinear vectors intersect and require the use of trigonometry to calculate resultant displacement.

Component of Vectors

Horizontal component: ( Ax = A \cos \theta )
Vertical component: ( Ay = A \sin \theta )
For multiple vectors, sum horizontal and vertical components separately:
- ( Rx = \Sigma Ax + Bx )
- ( Ry = \Sigma Ay + By )

Problem Solving Scenarios

Resultant displacement calculations can be done for various paths, using vector addition principles.
Example: If a jogger runs 30 km North and then 20 km West, the resultant displacement can be calculated using the Pythagorean theorem.

Measurement and Accuracy

The importance of accurately measuring distance, time, and other quantities influences understanding of the physical world.
Different types of errors in measurement include systematic errors (due to uncalibrated instruments) and random errors (due to unpredictable changes).

Significant Figures

Zeroes in measurements can be significant depending on their position:
- Between nonzero digits: always significant.
- At end of a number with a decimal: always significant.
- At end of a whole number without a decimal: may or may not be significant.
Exact numbers have an unlimited number of significant figures (e.g., defined quantities).

Rules for Operations

In addition and subtraction, the last digit retained is determined by the first doubtful digit.
In multiplication and division, the answer contains no more significant figures than the least in the calculation.

Scalar vs Vector

Scalars possess magnitude only (e.g., distance, speed), while vectors have both magnitude and direction (e.g., displacement, velocity).
Understanding the difference is crucial for solving physics problems.

Scientific Notation

Scientific notation is used for expressing large or small numbers for clarity.
Steps: Move the decimal until one non-zero digit is on the left, count the moves as the exponent, and write in the form of ( a \times 10^n ).

Common Conversion Factors

Knowledge of common conversions (e.g., miles to kilometers) is essential in measurement calculations.

Units of Measurement

Derived and fundamental quantities are foundational in physics, aiding in clarity and precision in calculations and communicative contexts.

Students' Expectations

At the lesson's end, students should be able to add vectors, rewrite vectors in component forms, understand the role of physics in life, and distinguish between derived and base units.

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Description

Test your understanding of vector addition in this quiz focused on collinear vectors and their properties. The questions will challenge your knowledge on quantities such as displacement, velocity, and energy. Sharpen your skills and apply the rules in practical scenarios!