Formulas for Physics, Chemistry, Mathematics, and Finance

Physics Formulas

Formula: F = ma

Where: F = Force, m = Mass, a = Acceleration

Formula: KE = ½mv²

Where: KE = Kinetic Energy, m = Mass, v = Velocity

Formula: PE = mgh

Where: PE = Potential Energy, m = Mass, g = Gravitational acceleration, h = Height

Formula: V = IR

Where: V = Voltage, I = Current, R = Resistance

Formula: f = μN

Where: f = Frictional force, μ = Coefficient of friction, N = Normal force

Formula: W = F × d

Where: W = Work done, F = Force, d = Distance

Formula: P = W/t

Where: P = Power, W = Work, t = Time

Formula: E_initial = E_final

Energy cannot be created or destroyed, it can only change forms.

Formula: J = Δp

Where: J = Impulse, Δp = Change in momentum

Formula: F = k(q1q2)/r²

Where: F = Electrostatic force, q1 and q2 = Charges, r = Distance, k = Coulomb's constant

Chemistry Formulas

Formula: PV = nRT

Where: P = Pressure, V = Volume, n = Number of moles, R = Ideal gas constant, T = Temperature

Formula: M = n/V

Where: M = Molarity, n = Number of moles, V = Volume of solution

Formula: pH = -log[H⁺]

Where: pH = pH level, [H⁺] = Concentration of hydrogen ions

Formula: P₁V₁ = P₂V₂

Where: P = Pressure, V = Volume

Formula: V₁/n₁ = V₂/n₂

Where: V = Volume, n = Number of moles

Formula: C₁V₁ = C₂V₂

Where: C = Concentration, V = Volume

Formula: Rate = k[A]^m[B]^n

Where: Rate = Reaction rate, k = Rate constant, [A] and [B] = Concentrations of reactants

Formula: T₁/₂ = (ln2)/k

Where: T₁/₂ = Half-life, k = Decay constant

Formula: E = E° - (RT/nF) * lnQ

Where: E = Electrode potential, E° = Standard electrode potential, Q = Reaction quotient

Formula: ΔH = ΣΔHf(products) - ΣΔHf(reactants)

Where: ΔH = Change in enthalpy, ΔHf = Enthalpy of formation

Mathematics Formulas

Formula: A = πr²

Where: A = Area, r = Radius of the circle

Formula: A = ½ × b × h

Where: A = Area, b = Base, h = Height

Formula: (a + b)ⁿ = Σ (nCk a^(n-k) b^k)

Where: nCk = Binomial coefficient, a, b = Terms, n = Power

Formula: x = (-b ± √(b² - 4ac)) / 2a

Where: a, b, c = Coefficients of the quadratic equation

Formula: a² + b² = c²

Where: a, b = Lengths of the two legs of a right triangle, c = Hypotenuse

Formula: m = (y₂ - y₁) / (x₂ - x₁)

Where: m = Slope, (x₁, y₁) and (x₂, y₂) = Coordinates of two points on the line

Formula: SI = (P × r × t) / 100

Where: SI = Simple Interest, P = Principal, r = Rate of interest, t = Time period

Formula: V = 4/3 πr³

Where: V = Volume, r = Radius of the sphere

Formula: A = P e^(rt)

Where: A = Amount, P = Principal, r = Rate, t = Time, e = Euler's constant

Formula: A = P(1 + r/n)^(nt)

Where: A = Amount, P = Principal, r = Rate, t = Time, n = Number of times interest is compounded per year

Finance Formulas

Formula: A = P(1 + r/n)^(nt)

Where: A = Amount, P = Principal, r = Rate of interest, n = Number of times interest is compounded, t = Time period

Formula: DCF = C / (1 + r)^t

Where: C = Cash flow, r = Discount rate, t = Time period

Formula: P = D / (r - g)

Where: P = Price of stock, D = Dividend, r = Discount rate, g = Growth rate

Formula: EPS = (Net Income - Dividends on Preferred Stock) / Outstanding Shares

Where: Net Income = Total profit, Outstanding Shares = Total shares in circulation

Formula: NPV = Σ [C / (1 + r)^t]

Where: C = Cash flow, r = Discount rate, t = Time period

Formula: P/E = Price per share / Earnings per share

Where: Price per share = Stock price, Earnings per share = Profit allocated to each share

Formula: ROI = (Net Profit / Cost of Investment) × 100

Where: Net Profit = Final amount after costs, Cost of Investment = Initial investment amount

Formula: SI = (P × r × t) / 100

Where: SI = Simple Interest, P = Principal, r = Rate of interest, t = Time period

Formula: Debt to Equity Ratio = Total Debt / Total Equity

Where: Total Debt = Liabilities, Total Equity = Shareholders' equity

Formula: Working Capital = Current Assets - Current Liabilities

Where: Current Assets = Short-term assets, Current Liabilities = Short-term debts