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What is the formula for the vertical component of a momentum $p$?? $$ p\sin\theta $$ What is the formula for the horizontal component of a momentum $p$?? $$ p\cos\theta $$ If an object with mass $m_1$ is travelling in a straight line with velocity $v_1$, what is its momentum?? $$ m_1v_1 $$ If an object with mass $m_1$ is travelling at an angle $\theta_1$ to the $x$ direction with velocity $v_2$, what is its momentum?? $$ m_1v_1\cos\theta_1 $$
2021-01-12
2 min read
See also: [[Computing - Sets]]S [[Computing - Regular Expressions]]S [[Computing - Turing Machines]]S [[Computing - Backus-Naur Form]]S [[Computing - Syntax Diagrams]]S [[Computing - Parsing]]S What is a regular language?? A language that can be described by a regular expression or a finite state machine. Backlinks [[Computing - Syllabus]]S Metadata date: 2021-01-12 10:14 tags: - '@?computing' - '@?
2021-01-12
1 min read
What two forms do you give answers to probability questions?? Decimals Fractions What does $P(\text{experiment})$ mean?? The probability of experiment. In terms of probability, what is an experiment?? A repeatable process that gives rise to a number of outcomes. In terms of probability, what is an event?? A set of one or more outcomes. What is sample space?? The set of all possible outcomes. 2021-01-21 What does it mean for two events to be mutually exclusive?
2021-01-12
2 min read
2021-01-11 What is the vector equation for a straight line?? $$ \pmb{r} =\pmb{a} + \lambda \pmb{b} $$ $$\pmb{r} =\pmb{a} + \lambda \pmb{b}$$ What is the variable $\pmb{a}$ called?? The position vector. $$\pmb{r} =\pmb{a} + \lambda \pmb{b}$$ What is the variable $\pmb{b}$ called?? The direction vector. $$\pmb{r} =\pmb{a} + \lambda \pmb{b}$$ What is the variable $\pmb{r}$ called?? The general position vector for a point on the line. $$\pmb{r} =\pmb{a} + \lambda \pmb{b}$$ What is the informal name for $\lambda$ called here?
2021-01-11
9 min read
See also: [[Further Maths - Vector Equation of a Line]]S [[Further Maths - Vector Equation of a Plane]]S [[Further Maths - Dot Product]]S What is the formula for the distance to a three dimensional point $(a,b,c)$?? $$ \sqrt{a^2 + b^2 + c^2} $$ $$ \left(\begin{matrix} a \ b \ c \end{matrix}\right) $$ What is the formula for the length of the vector?? $$ \sqrt{a^2 + b^2 + c^2} $$
2021-01-11
4 min read
What regular expression is this?? $$ ab $$ What regular expression is this?? $$ a|b $$ What regular expression is this?? $$ a+ $$ What regular expression is this?? $$ a* $$ Visualise the finite state machine for $ab$?? Visualise the finite state machine for $a|b$?? Visualise the finite state machine for $a+$?? Visualise the finite state machine for $a*$?? What is the precedence for regular expressions?? () * + ? | Backlinks [[Computing - Syllabus]]S [[Computing - Regular Languages]]S Metadata date: 2021-01-11 08:41 tags: - '@?
2021-01-11
1 min read
Man tries writing Christian book about Hiroshima bombing. Man ends up on an island to do an interview but ends up destroying most life on Earth so he switches religion. This book was a bit weird. It was really short but there were about 120 chapters, all a couple pages long. I liked it, but I wasn’t itching to keep on reading it if that makes sense. I enjoyed [[Slaughterhouse 5]]?? more but I might just be biased because that’s the one my Dad suggested.
2021-01-08
1 min read
Questions for Teacher If there’s no potential difference in a wire, what happens to the electrons?? They will drift randomly. What happens to the randomly drifting electrons in a wire when a potential difference is applied?? They start to drift in the same direction. What is meant by electron drift velocity?? The average displacement of the electrons along the a wire per second. Why do electrons move slowly through a metal?? Because the electrons are colliding with the lattice of atoms.
2021-01-08
3 min read
2021-01-07 What is a set?? A well-defined collection of objects. What are the two terms for objects in a set?? Members Elements What’s the difference between a set and a list?? Sets are unordered. What’s the symbol for an empty set?? $$ \varnothing $$ What does $$x \in S$$ mean?? $x$ is a member of the set $S$. What does $$x \notin S$$ mean?? $x$ is not a member of the set $S$.
2021-01-07
3 min read
What is the transformation as a vector for $y = f(x) + a$?? $$ \left(\begin{matrix} 0 \\ a \end{matrix}\right) $$ What does the transformation $y = f(x) + a$ mean in simple terms?? Move the graph up by $a$. What is the transformation as a vector for $y = f(x + a)$?? $$ \left(\begin{matrix} -a \\ 0 \end{matrix}\right) $$ What does the transformation $y = f(x + a)$ mean in simple terms?? Move the graph back horizontally by $a$.
2021-01-06
2 min read
What is the symbol for a wire in a circuit?? What is the symbol for a resistor in a circuit?? What is the symbol for a light bulb in a circuit?? What is the symbol for a cell in a circuit?? What is the symbol for a battery in a circuit?? What is the symbol for a switch in a circuit?? Which is the positive terminal?? The one on the left. What is the technique for remembering the positive and negative terminals on a cell?
2021-01-06
2 min read
See also: [[Physics - Circuits]]S [[Physics - Voltage and Potential Difference]]S What is electric current?? The rate of flow of charged paticles. What symbol is used to represent current?? $$ I $$ What are some examples of charged particles?? Electrons, $e^{-}$ Positrons, $e^{+}$ Protons, $p$ Ions, $Na^{+}$, $Cu^{++}$ Why is $I$ used to represent current?? Because it comes from the french “Intensity of Current”. What are the units for current?
2021-01-06
3 min read