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Questions and Answers
What is the multiplicative value represented by the prefix 'giga'?
Which prefix corresponds to the multiplicative value of 0.001?
If a unit is expressed as 10^12, which prefix is used?
What is the wavelength of light emitted by a laser at 600nm in meters?
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Which of these prefixes indicates a factor of 10^-6?
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What is the multiplicative value represented by the prefix 'kilo'?
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Which of the following correctly identifies the prefix for 0.01?
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What is the scientific notation for the prefix 'pico'?
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Which of the following is a scalar quantity?
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What is the unit for measuring electric current in the International System of Units (SI)?
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Which of the following quantities is expressed in derived SI units?
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A physical quantity that has both magnitude and direction is known as a:
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In the SI system, which of the following is the base unit for measuring time?
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What prefix would be used to denote one billionth of a unit in the SI system?
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Which of the following is NOT one of the base SI units?
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What is the dimension of pressure in the SI system?
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What does dimensional analysis help to determine?
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How does Newton's law of universal gravitation express the relationship between force, mass, and distance?
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Which of the following is a scalar quantity?
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What characterizes vector quantities?
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What are the dimensions of force?
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What does G represent in the equation for universal gravitation?
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What can a vector field describe?
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Which of the following statements about the dimensions of G is correct?
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How is the magnitude of the x-component of a vector represented mathematically?
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What does the length of an arrow in vector representation indicate?
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What is the relationship between the angle θ and the vector components Ax and Ay?
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In a right triangle formed by vector components, what does the hypotenuse represent?
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Which trigonometric ratio is used to derive the y-component (Ay) of a vector?
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What does the notation A = (Ax, Ay) signify?
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Which statement accurately describes the direction of a vector?
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How do the components of a vector traditionally align in a two-dimensional coordinate system?
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What method can be used to add two vectors graphically?
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How are the x and y components of two vectors A and B combined?
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What theorem is used to determine the magnitude of a vector from its components?
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What is the resulting vector when vector A = (0 m, 1 m) and vector E = (0 m, 20 m) are subtracted?
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What does the resultant vector represent in vector addition?
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Which of the following best describes the relationship between the components and the magnitude of a vector?
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What is the correct expression for the sum of two vectors A and B in terms of their individual components?
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If vector A has a magnitude of $|A|$ and an angle of $ heta$ with the x-axis, what are the x and y components of vector A?
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Study Notes
Units and Dimensions
- Physical quantities have dimensions (mass, temperature, length, time) and units.
- SI (International System of Units) is a common system of units.
- SI base units include meter (m), kilogram (kg), second (s), Kelvin (K), ampere (A), mole (mol).
- Derived SI units are combinations of base SI units (e.g., force, energy, pressure).
- Prefixes can be added to SI units to represent large or small values (e.g., kilometer (km), nanometer (nm)).
Dimensional Analysis
- Dimensions are the units of a variable and are expressed in square brackets (e.g., [X]).
- In an equation, the dimensions of the left side must equal the dimensions of the right side.
- Dimensional analysis can be used to determine the dimensions of unknown variables in an equation.
Scalars and Vectors
- Scalars have only magnitude (e.g., mass, time, temperature).
- Vectors have both magnitude and direction (e.g., displacement, velocity, acceleration, force, momentum).
- Vectors can be represented graphically as arrows: the length represents magnitude, and the direction of the arrow indicates the direction.
- Vectors can be represented component-wise: A = (Ax, Ay), where Ax and Ay are the x- and y-components of the vector, respectively.
- The magnitude of a vector A can be found using the Pythagorean theorem: |A| = √(Ax² + Ay²).
Vector Addition
- Vectors can be added graphically using the tip-to-tail method.
- Vectors can be added component-wise: A + B = (Ax + Bx, Ay + By).
- The difference of two vectors can be determined using vector subtraction, where the negative of one vector is added to the other.
- Vector subtraction is equivalent to adding the opposite vector.
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Description
Explore the fundamental concepts of units and dimensions in physics. This quiz covers the International System of Units (SI), dimensional analysis, and the distinction between scalars and vectors. Test your understanding through various questions related to these essential topics.
