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Questions and Answers
What is the result of multiplying two identical numbers that yield a?
What is the result of multiplying two identical numbers that yield a?
What is the value of a raised to the power of 0.5?
What is the value of a raised to the power of 0.5?
Which of the following represents three identical numbers multiplied together to give a?
Which of the following represents three identical numbers multiplied together to give a?
What does the expression a^(-2) represent?
What does the expression a^(-2) represent?
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If you multiply a^3 by itself three times, what expression do you obtain?
If you multiply a^3 by itself three times, what expression do you obtain?
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What is the formula to find the diameter of a circle from its circumference?
What is the formula to find the diameter of a circle from its circumference?
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Given that the initial velocity (u) is 2, the acceleration (a) is 4, and the time taken (t) is 3, what is the velocity (v)?
Given that the initial velocity (u) is 2, the acceleration (a) is 4, and the time taken (t) is 3, what is the velocity (v)?
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What happens to the diameter when the circumference is doubled?
What happens to the diameter when the circumference is doubled?
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If the diameter of a circle is known, what is the next step to find its circumference?
If the diameter of a circle is known, what is the next step to find its circumference?
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If the final velocity (v) is 14, and the initial velocity (u) is 2, what can be determined about acceleration (a) if time (t) is 3?
If the final velocity (v) is 14, and the initial velocity (u) is 2, what can be determined about acceleration (a) if time (t) is 3?
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How many decimal places are represented in the number 17925.205?
How many decimal places are represented in the number 17925.205?
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What is the result when rounding 17925.2054 to 2 decimal places?
What is the result when rounding 17925.2054 to 2 decimal places?
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Which of the following is NOT a key focus in the Foundation Physics course?
Which of the following is NOT a key focus in the Foundation Physics course?
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Why is maths considered essential in Physics and Engineering?
Why is maths considered essential in Physics and Engineering?
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What does s.f. stand for in the context of the course?
What does s.f. stand for in the context of the course?
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Which of the following is an example of a derived unit?
Which of the following is an example of a derived unit?
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Which mathematical concept is essential for creating and manipulating formulas in physics?
Which mathematical concept is essential for creating and manipulating formulas in physics?
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When rounding 17925.2054 to 1 decimal place, what is the result?
When rounding 17925.2054 to 1 decimal place, what is the result?
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What happens when the base 'a' is a positive number in the equation $\frac{1}{a^2}$?
What happens when the base 'a' is a positive number in the equation $\frac{1}{a^2}$?
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Why is it important to use correct units in scientific measurements?
Why is it important to use correct units in scientific measurements?
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What could be the consequence of mistakenly using 13 inches instead of the correct unit for blade height in an industrial mixer?
What could be the consequence of mistakenly using 13 inches instead of the correct unit for blade height in an industrial mixer?
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How many base units are there from which all other physical properties are derived?
How many base units are there from which all other physical properties are derived?
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What is the significance of the base units in the context of physical quantities?
What is the significance of the base units in the context of physical quantities?
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In what way is the expression $\frac{1}{100^{(\frac{1}{2})}}$ simplified?
In what way is the expression $\frac{1}{100^{(\frac{1}{2})}}$ simplified?
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What is the effect of using a negative base 'a' in the equation $\frac{1}{a^2}$?
What is the effect of using a negative base 'a' in the equation $\frac{1}{a^2}$?
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What units are mentioned in relation to the measurement changes in engineering designs?
What units are mentioned in relation to the measurement changes in engineering designs?
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How many significant figures are in the number 0.005089?
How many significant figures are in the number 0.005089?
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What is the correct representation of 53,879 to 2 significant figures?
What is the correct representation of 53,879 to 2 significant figures?
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What is the result of multiplying $10^3$ by $10^2$ using the laws of indices?
What is the result of multiplying $10^3$ by $10^2$ using the laws of indices?
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How is the number 0.001 expressed in terms of a power of ten?
How is the number 0.001 expressed in terms of a power of ten?
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What is the first step to isolate t in the formula $v = u + at$?
What is the first step to isolate t in the formula $v = u + at$?
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What does $a^0$ equal according to the laws of indices?
What does $a^0$ equal according to the laws of indices?
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Which of the following expressions represents $a^{-n}$?
Which of the following expressions represents $a^{-n}$?
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After subtracting u from both sides in the equation $v = u + at$, what does the equation become?
After subtracting u from both sides in the equation $v = u + at$, what does the equation become?
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What operation is performed to both sides to isolate t after reaching the equation $v - u = at$?
What operation is performed to both sides to isolate t after reaching the equation $v - u = at$?
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When $10^5$ is divided by $10^3$, what is the result?
When $10^5$ is divided by $10^3$, what is the result?
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What does the final equation for t look like after isolating it from $v = u + at$?
What does the final equation for t look like after isolating it from $v = u + at$?
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What is the representation of the product $(10^2)^3$ using the laws of indices?
What is the representation of the product $(10^2)^3$ using the laws of indices?
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Which of the following statements is true about the isolated variable t in the formula $v = u + at$?
Which of the following statements is true about the isolated variable t in the formula $v = u + at$?
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Which of these numbers represents 791.25 to 1 significant figure?
Which of these numbers represents 791.25 to 1 significant figure?
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What does $10^{-2}$ represent numerically?
What does $10^{-2}$ represent numerically?
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What happens to the u’s on the right side when you perform Step 3 of the derivation?
What happens to the u’s on the right side when you perform Step 3 of the derivation?
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Which step confirms that t is isolated in the equation derived from $v = u + at$?
Which step confirms that t is isolated in the equation derived from $v = u + at$?
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How is the formula $t = \frac{v - u}{a}$ useful in physics?
How is the formula $t = \frac{v - u}{a}$ useful in physics?
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Study Notes
Foundation Physics 1 (6E3Z1009)
- Course taught by Dr Rasool Erfani
- Assessments include:
- 1EXAM20: Multiple choice exam, 30 minutes
- 2EXAM80: Standard questions, 120 minutes
Lecture 1: Maths for Engineering & Physics
- Core subject for physics and engineering.
- Topics include:
- Decimal places (d.p.) and significant figures (s.f.)
- Base units, derived units, prefixes
- Transposition of formulas
Lecture 1 Outline
- Fundamental concepts of math in engineering and physics
- Includes decimal places, significant figures
- Also includes base units, derived units and prefixes
- Covers transposing formula
Decimal Places (d.p.)
- Example: 17925.2054
- 3 d.p.: 17925.205
- 2 d.p.: 17925.21
- 1 d.p.: 17925.2
Significant Figures (s.f.)
- Example: 53,879, to 1 significant figure is 50,000
- Example: 0.005089 to 1 significant figure is 0.005
Indices or Powers
- A log is an index, an index is a log
- Example: 4³ = 4 x 4 x 4 (4 to the power of 3)
- Examples of indices:
- 10⁴ = Base 10, Index 4
- 2⁵ = Base 2, Index 5
- 6³ = Base 6, Index 3
Positive and Negative Indices and Inverses
- Illustrates how numbers can be represented as powers of 10
- Also discusses how to convert positive numbers to negative indices and viceversa
Formula Transposition
- Example 1: Circumference of a circle
- Formula: C = πd
- Transposition to find diameter (d): d = C/π.
- Example 2: Velocity formula
- Formula: v = u + at
- Transposition to find time (t): t = (v - u)/a
Further Reading
- Recommended resources for further study
- Textbook: "Foundation mathematics for non-mathematicians" by Shott, Milo (1989) – available through MMU library.
- Online resource: Mathscentre.ac.uk
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Test your knowledge on the principles of algebra and geometry with this quiz. It covers topics such as exponentiation, circle properties, and basic velocity calculations. Perfect for students looking to reinforce their understanding in these areas.
