@?year-2

Flashcards 2022-02-17 Metadata date: 2022-02-17 17:04 tags: - '@?public' - '@?school' - '@?further-maths' - '@?decision' - '@?year-2' title: Further Maths - Crticial Path Analysis

Flashcards 2022-02-10 Where is all radiation emitted from?? An unstable nucleus. What are the four different types of radiation?? Alpha Beta-minus Beta-plus Gamma What particle is emitted in beta-minus radiation?? An electron. What particle is emitted in beta-plus radiation?? A positron. What instrument do you use to detect radiation?? A Geiger-Muller counter. What must you subtract from every Geiger-Muller counter in order to accurately determine the radioactivity of a substance?? The background radiation.

Flashcards 2022-02-08 Where does the definition for $1 \text{au}$ come from?? The average earth-to-sun distance. What does the definition for $1 \text{ly}$ come from?? It’s the speed light travels per year in a vacuum. What’s “parsec” short for?? “parallax arcsecond” What is $1$ degree in arcminutes (READ)?? $$ 60 \text{arcminutes} $$ What is $1$ arcminutes in arcseconds (READ)?? $$ 60 \text{arcseconds} $$ What is $1$ degree in arcseconds (READ)?? $$ 3600 \text{arcseconds} $$ What is the notation for one arcminute?

Flashcards 2022-02-07 What is the first step in using the decimal search method?? Rearranging to get 0 on one side. How can you find a good estimate to start with for decimal search?? Draw a sketch. What should you say when an identifying a root using decimal search?? “Gee wiz! The function $f(x)$ is continuous in the interval $[a, b]$ and there is a change of sign, so a root lies near $x$”. How would you show that $1.

Flashcards 2022-02-07 Can you use SUVAT in two dimensions?? Yes. Backlinks [[Maths - Syllabus]]S Metadata date: 2022-02-07 12:34 tags: - '@?mechanics' - '@?maths' - '@?year-2' - '@?school' - '@?public' title: Mechanics - Further Kinematics

Flashcards 2022-01-31 What are the four fundamental forces?? Strong nuclear force Weak nuclear force Electromagnetic force Gravitational force In what context does the strong nuclear force show up?? Holding nucleons together. When does the electromagnetic force act?? When two charged objects interact. In what context does the weak nuclear force show up?? Beta decay. When does the gravitational force show?? When any particles have mass. What is the relative strength of the strong nuclear force?

Flashcards 2022-01-26 What simplifying model do we use when talking about emitters and absorbers of electromagnetic radiation?? Black bodies. What two main assumptions are made about a black body?? They are perfect emitters and absorbers of electromagnetic radiation They emit radiation at all wavelengths Why is the sun yellow if it can be modelled as a near-perfect black body?? Because it is hotter than its surroundings and so is glowing. What is special about how a black body emits radiation at all wavelengths?

Flashcards 2022-01-25 What is this?? A Hertzsprung-Russell diagram. What is on the $x$-axis of a Hertzsprung-Russell diagram?? Temperature. Which out of luminosity and temperature goes in the wrong direction on a Hertzsprung-Russell diagram?? Temperature. What is on the $y$-axis of a Hertzsprung-Russell diagram?? Luminosity. What is sometimes confusing about the temperature values on a Hertzsprung-Russell diagram?? They measure “effective temperature”, not the temperature of the core. What are the units for luminosity measured on a Hertzsprung-Russell diagram?

See Also [[Maths - Numerical Methods]]S Try out an interactive visualisation of Euler’s method here: Euler’s method. Flashcards 2021-12-08 How could you summarise Euler’s method for solving first-order differential equations?? Start with some point on the curve and then follow the direction of the curve. If a gradient is given by $\frac{\text{d}y}{\text{d}x}$, how much would you increase the $y$-coordinate for a step size of $h$?? $$ y_1 = y_0 + \frac{\text{d}y}{\text{d}x} h $$

Flashcards 2021-12-08 What is gravitational potential?? The energy transferred per unit mass to move an object from infinity to a point. What is the gravitational potential at infinity?? $$ 0\text{J}\text{kg}^{-1} $$ Why is gravitational potential always negative?? Because you’re having to do the opposite of what gravity wants you to do. What is gravitational potential energy?? The energy transferred to move an object from infinity to a point. What does the graph of $V$ against $r$ look like for gravitational potential?

Flashcards 2021-12-06 What speed must a satellite be going at to orbit a planet at radius $r$?? $$ \sqrt{\frac{GM}{r}} $$ What three things must be true for a geostationary satellite?? It must be in an orbit above the Earth’s equator. It must rotate in the same direction as the Earth’s rotation. It must have an orbital period of 24 hours. What is true about a polar orbit?? It passes over a planet’s poles.

See Also [[Further Maths - L'Hôpital's Rule]]S [[Further Maths - Taylor Series]]S Flashcards 2021-12-05 How would you rewrite $$\lim_{x \to \infty} \frac{2-3x}{1+x}$$ in order to evaluate it without L’Hôpital’s rule?? $$ \frac{\lim_{x \to \infty} 2 - 3x}{\lim_{x \to \infty} 1 + x} $$ How could you evaluate $$\lim_{x \to \pi/2} (x-\frac{\pi}{2})\tan x$$ using a Taylor series?? Approximate $\cot x$ around $\pi/2$ What must you make sure to do when evaluating a limit with a Taylor series?