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Questions and Answers
What is physics primarily concerned with?
What is physics primarily concerned with?
Measurement
Which of the following are types of measurement?
Which of the following are types of measurement?
What is a derived unit?
What is a derived unit?
A unit resulting from a mathematical combination of SI base units.
What are fundamental quantities?
What are fundamental quantities?
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Which of the following are types of error in measurement?
Which of the following are types of error in measurement?
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A scalar quantity is described by both magnitude and direction.
A scalar quantity is described by both magnitude and direction.
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What is the term for the sum of two or more vectors?
What is the term for the sum of two or more vectors?
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The head-to-tail method is associated with ______ addition.
The head-to-tail method is associated with ______ addition.
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In which quadrant are the signs of vector components both positive?
In which quadrant are the signs of vector components both positive?
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What theorem is used to find the resultant of vectors at right angles?
What theorem is used to find the resultant of vectors at right angles?
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Match the terms related to vector addition with their definitions:
Match the terms related to vector addition with their definitions:
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Study Notes
Measurement in Physics
- Physics begins with measurement, defined as a comparison with a standard.
- Measurement types include Metric and English systems, indicating different units of measure.
- Physical quantity refers to a quantifiable property of phenomena, bodies, or substances.
Units of Measurement
- Derived units result from mathematical combinations of SI base units, such as volume and energy.
- Acceleration is an example of a derived unit.
- Fundamental quantities form a subset of physical quantities, with each being irreducible to others.
Types of Errors
- Systematic errors arise from instruments or processes leading to consistent inaccuracies.
- Random errors are unusual deviations that occur unpredictably.
Scalar and Vector Quantities
- Scalars are quantities characterized only by magnitude.
- Vectors include both magnitude and direction, described with units.
Determining Vector Direction
- Vectors can be categorized based on quadrants and their corresponding signs:
- Quadrant 1: (+,+) - North of East
- Quadrant 2: (+,-) - North of West
- Quadrant 3: (-,-) - South of West
- Quadrant 4: (-,+) - South of East
Vector Addition
- The resultant of multiple vectors is obtained through graphical or analytical methods.
Graphical Method
- Uses Head to Tail and Tail to Tail methods to position vectors for summation.
Analytical Method
- Vectors in the same direction are summed arithmetically.
- Vectors in opposite directions are subtracted, considering the larger magnitude.
- Vectors at right angles utilize the Pythagorean theorem: c² = a² + b².
- Trigonometric methods:
- Tan angle calculation: Tan^-1 (fy/fx).
- Cosine Law: c² = a² + b² - 2ab cos(c).
- Sine Law: a/sinA = b/sinB = c/sinC.
Component Method for Vector Addition
- Formulas for resolving vectors:
- Vx = V cos(θ)
- Vy = V sin(θ)
- Steps to using the component method:
- Resolve the vector into horizontal (x) and vertical (y) components.
- Sum x and y components to determine resultant.
- Apply Pythagorean theorem: R² = Rx² + Ry².
- Use signs of Rx and Ry to find the quadrant.
- Compute the reference angle to clarify direction.
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Description
Explore the foundational concepts of measurement in physics, including metric and English units, as well as physical quantities and derived units. This quiz covers essential topics like acceleration, volume, and energy, helping you understand how to quantify properties of substances and phenomena.