SITEEE flashcards
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32 cards. Read the term and the definition here. The deck at the top of this page is optional.
- Newton's second law
- The net force on a body equals its mass times acceleration, F_net = ma; this vector equation holds in inertial frames and reduces to equilibrium when net force is zero.
- Projectile range formula
- For launch speed u and angle θ on level ground, range R = u² sin(2θ)/g; range is maximum at 45° when air resistance is neglected.
- Work-energy theorem
- The net work done on an object equals its change in kinetic energy, W_net = ΔKE; this applies even when forces vary, using work as the integral of force over displacement.
- Escape velocity
- The minimum launch speed needed to escape a planet's gravity without further propulsion, v_esc = √(2GM/R), where M is planet mass and R is radius.
- Ohm's law
- For an ohmic conductor at constant temperature, current is directly proportional to potential difference: V = IR, where R is resistance in ohms.
- Snell's law
- When light crosses an interface, n1 sin θ1 = n2 sin θ2, where n is refractive index and angles are measured from the normal.
- Simple pendulum period
- For small angular swings, the period is T = 2π√(L/g), depending on length L and gravitational acceleration g but not on bob mass.
- Coulomb's law
- The electrostatic force between two point charges is F = kq1q2/r², directed along the line joining them; like charges repel and opposite charges attract.
- Mole concept
- One mole contains Avogadro's number 6.022×10²³ particles; mass in grams divided by molar mass gives amount in moles, n = m/M.
- Ideal gas equation
- PV = nRT relates pressure, volume, amount, and absolute temperature of an ideal gas; R = 8.314 J mol⁻¹ K⁻¹.
- Le Chatelier's principle
- When a system at equilibrium is disturbed by concentration, pressure, or temperature change, it shifts in the direction that partially opposes the disturbance.
- pH definition
- pH = −log10[H⁺] for dilute aqueous solutions; at 25°C, pH + pOH = 14 and neutral water has pH 7.
- Hess's law
- The enthalpy change of a reaction is independent of pathway; it equals the sum of enthalpy changes for any set of steps adding to the overall reaction.
- Markovnikov's rule
- When HX adds to an unsymmetrical alkene, the hydrogen attaches to the carbon with more hydrogens, giving the more substituted carbocation intermediate and major product.
- Nernst equation
- At 25°C, E = E° − (0.0592/n) log Q for a cell reaction; E° is standard potential, n electrons transferred, and Q reaction quotient.
- Hückel aromatic rule
- A planar cyclic conjugated system is aromatic if it has 4n + 2 π electrons in a continuous overlapping p-orbital ring, where n is a nonnegative integer.
- Quadratic roots sum
- For ax² + bx + c = 0, the roots satisfy sum = −b/a and product = c/a; the discriminant b² − 4ac determines real, equal, or complex roots.
- Binomial general term
- In (a + b)^n, the term containing b^r is C(n,r) a^(n−r) b^r; r ranges from 0 to n and C(n,r) is the binomial coefficient.
- Sum of infinite GP
- For a geometric progression with first term a and common ratio r where |r| < 1, the infinite sum is S = a/(1 − r).
- Sine rule
- In any triangle with sides a, b, c opposite angles A, B, C, a/sin A = b/sin B = c/sin C = 2R, where R is circumradius.
- Product rule
- The derivative of a product uv is u′v + uv′; this rule applies when both factors are differentiable functions of the same variable.
- Integration by parts
- ∫u dv = uv − ∫v du; choose u using LIATE preference and dv as the remaining integrable factor to simplify the integral.
- Circle equation
- A circle with center (h,k) and radius r has equation (x−h)² + (y−k)² = r²; expanded form is x²+y²+Dx+Ey+F=0.
- Bayes theorem
- P(A|B) = P(B|A)P(A)/P(B), where P(B) > 0; it updates a prior probability using evidence and the law of total probability.
- Fluid mosaic model
- The plasma membrane is a phospholipid bilayer with embedded proteins, cholesterol, and carbohydrates; components move laterally, making the membrane dynamic and selectively permeable.
- Enzyme active site
- The active site is the region where substrate binds by shape and charge complementarity; binding lowers activation energy and forms an enzyme–substrate complex.
- Mendel's law of segregation
- During gamete formation, the two alleles of a gene separate so each gamete receives one allele; random fertilization then restores pairs in offspring.
- Semiconservative replication
- DNA replication produces two double helices, each containing one original parental strand and one newly synthesized strand, as shown by Meselson and Stahl.
- Calvin cycle
- In chloroplast stroma, ATP and NADPH drive carbon fixation by rubisco, reduction of 3-phosphoglycerate, and regeneration of RuBP to make sugar.
- Nephron function
- The nephron filters blood at the glomerulus, reabsorbs useful solutes and water along the tubule, and secretes wastes to form urine.
- Binomial nomenclature
- Each species has a two-part Latin name: capitalized genus followed by lowercase specific epithet, both italicized; for example, Homo sapiens.
- Ten percent energy rule
- In a food chain, roughly 10% of energy at one trophic level is transferred to the next; most is lost as heat, limiting chain length.