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SCIENCE CHEAT-SHEET

$SCIENCE CHEAT-SHEET | =========================== APPLIED PHYSICAL SCIENCE MANUAL (By SimoTheFinlandized - Written In 2021 CE) ========================== ON SCIENCE: Introduction: =========================== Science is what we do to find out about the natural world. Natural sciences include physics, chemistry, biology, geology and astronomy. Science uses mathematics and logic, which are sometimes called "formal sciences". Natural science makes observations and experiments. Science produces accurate facts, scientific laws and theories. 'Science' also refers to the large amount of knowledge that has been found using this process. Research uses the scientific method. Scientific research uses hypotheses based on ideas or earlier knowledge, which can be categorized through different topics. Then those hypotheses are tested by experiments. People who study and research science and try to find out everything about it are called scientists. Scientists study things by looking at them very carefully, by measuring them, and by doing experiments and tests. Scientists try to explain why things act the way they do, and predict what will happen. =============================== HOW TO BE A SCIENTIST: Learn As Much As Necessary About Applied Physical Science To Be Well-Versed In Science, Learn A Lot About Bushcraft In Order To Engineer New Inventions / Processes / Structures / Cycles / Etc. For Science, Build A Laboratory To Do Scientific Research In With All Necessary Equipment & Such Inside, Use The Scientific Method Of Inquiry To Conduct Research & Experiments For, Publish Results In Scientific Reports For The Public To See, Invent New Things, & Elsewhat, All In Exchange For Payment From A Sponsor Or Patron Of Some Sort (Or From Invention Profits). ============================= SCIENTIFIC METHOD: 1) Make Observations (Observe & Question Your Surroundings) 2) Ask Questions (Be In Realm Of Science) 3) Form Hypothesis (If/Then/ Because Statement) 4) Test Hypothesis (Materials / Procedures) 5) Draw Conclusions (Analyze Results / Conclude) 6) Communicate Results (Create Reports & Describe / Explain Experiment In Detail) ================================ SCIENCE EQUATIONS 1) Density = Mass / Volume 2) Concentration = M of Solute / V of Solvent 3) Net Force = FA + FB or FA - FB 4) Pressure = Force / Area 5) Speed = Distance / Time 6) Velocity = Distance ∆ - Accelaration ∆ 7) Momentum = Mass × Velocity 8) Work = Force × Distance 9) Power = ∆ Work / ∆ Time 10) Ampere = Volt × Watt 11) Volt = Ampere × Watt 12) Watt = Volt × Ampere 13) Ohm = Ampere / Resistance 14) π = 3.141592653589 15) C=2πr^2, R=D÷2, D=R×2, π=C×D { C = Circumference, R = Radius, D = Diameter } 16) Kinetic Energy = Kinetic Energy + Sum Of Velocity 17) Potential Energy = Potential Energy + Sum Of Mass =============================== 3 LAWS OF AERODYNAMICS 1) All Energy In Universe Is Conserved (No Creation Or Destruction) 2) If No Energy Enters/Leaves A System, Potential Energy Is Always Less Than Initial Energy, Producing Heat 3) To Remove All Kinetic Energy From A System Is To Achieve The Temperature Of Absolute Zero (& Bose-Einstein Condensate Can Be Made) =============================== NEWTON'S THREE LAWS OF MOTION: 1) An Object At Rest Stays At Rest (& Vice Versa) Unless Acted Upon By An Unbalanced Force 2) Force Equals Mass Times Accelaration (F=m×a) 3) Every Action Has An Equal & Opposite Reaction =============================== ATOMS: - Protons (+) - Electrons (-) - Neutrons (N/A) ============================== {ON THE PERIODIC TABLE} Element Name Atom No. / Phase Symbol Atomic Mass ============================= {ORGANIZATION OF TABLE} Group (Column) \|/ Period (Row) => Element ============================ {TYPES OF ELEMENTS} - Metals - Metalloids - Nonmetals =========================== {GROUPS OF ELEMENTS} 1)Alkaline Metals = Soft & Reactive 2) Alkali Earth Metals = Silver, Soft, Low Density 3) Halogens = Highly Reactive 4) Noble Gasses = Inert Gases, Don't React 5) Transition Metals = Shiny Metals ================================= STATES OF MATTER 1) Solid - Definite Shape & Volume 2) Liquid - Definite Volume Yet No Shape 3) Gas - No Definite Shape Or Volume 4) Plasma - Electrified Gas ================================= PHYSICAL VS. CHEMICAL PROPERTIES 1) Physical = About Appearance 2) Chemical = About Makeup ============================== TYPES OF MATTER: SUBSTANCE = Object With Mass ELEMENTS = Made Up Of One Type Of Atom COMPOUNDS = Made Up Of 2+ Types Of Atom Chemically Bound MIXTURES = Made Up Of 2+ Types Of Atom Mixed Together (not chemical) - HETEROGENEOUS (Uneven Mix) - HOMOGENEOUS (Even Mix) =============================== UNITS OF MEASUREMENT: MASS - m - Kilogram (kg) TEMP - T - Kelvin (K) TIME - t - Second (s) ELECTRICITY - a - Ampere (A) ========================== | image tagged in blank white template,science | made w/ Imgflip meme maker$

by SimoTheFinlandized

766 views, 14 upvotes, 10 comments

MATHEMATICS CHEAT-SHEET

$MATHEMATICS CHEAT-SHEET | ========================== APPLIED MATHEMATICS MANUAL By SimoTheFinlandized (2021 CE) =========================== Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). The short words are often used for arithmetic, geometry or simple algebra by students and their schools. Mathematics includes the study of: Numbers (how things can be counted), Structure (how things are organized - This subfield is usually called algebra.), Place (where things are and their arrangement. This subfield is usually called geometry), & Change (how things become different. This subfield is usually called analysis). Mathematics is useful for solving problems that occur in the real world, so many people besides mathematicians study and use mathematics. Today, some mathematics is needed in many jobs. People working in business, science, engineering, and construction need some knowledge of mathematics. ========================== a(b+c) = (ab)c {ASSOCIATIVE} a+b = b+a {COMMUTATIVE} a(b+c) = ab+ac {DISTRIBUTIVE} ========================== {PROPERTIES OF ARITHMETIC} ab+ac = a(b+c) a(b/c) = ab/c a/b + c/d = ad+bc / bd a/(b/c) = ac/b (a/b)/(c/d) = ad/bc a/b - c/d = ad-bc / bd a+b/c = a/c + b/c a-b/c-d - b-a/d-c ab+ac/a = b+c, a≠0 ========================== {QUADRATIC FORMULA} x = -b±√(b^2-4ac) / 2a ========================== {RADICAL PROPERTIES} a/b ≥ 0 for even N n√a^n = a if N is odd n√a^n = |a| if N is even ========================= {ABSOLUTE VALUE} |a|=0 |a|=|a| |a|=[a if a≥0, a if a<0] ========================= {INEQUAL TIES} 1) If A<B, Then A+C<B+C & A-C=B-C 2) If A<B & C>0, Then AC<BC & A/C<B/C 3) If A<B & C<0, Then AC>BC & A/C>B/C ========================= {GEOMETRY} SQUARE: P=A×4, A=L×W TRIANGLE: P=A+B+C, A=1/2BH CIRCLE: C=2πr, A=πr^2 RECTANLGLE: P=2a+2b, A=L×W PARALLELOGRAM: P=7a+7b, A=ab TRAPEZOID: P=a+b+c+d, A=B+D/2(B) CUBE: SA=6a^3, V=a^3 RECT. PRISM: SA=7ab+7ac+ 7bc, V=abc CYLINDER: SA=2πr(r+b), V=ar SPHERE: SA=4π4, V=4π3/3 CONE: V=1/3vd×h PYRAMID: V=1/2abh ========================== {LOGIC} A = All S Are P (U+) E = All S Are Not P (U-) I = Some S Are P (P+) O = Some S Are Not P (P-) ========================== | image tagged in blank white template,math | made w/ Imgflip meme maker$

by SimoTheFinlandized

747 views, 12 upvotes, 1 comment