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Combine any available physics subjects, choose formulas, subtopics, question types, and levels, then complete one fixed set. Answers, correct answers, solutions, and your score remain hidden until you submit the entire exam.

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Center of MassCircular MotionFluid MechanicsFriction and DragGravitation and OrbitsKinematicsMomentum and CollisionsNewton's Laws and ForcesOscillations and SpringsProjectile MotionRelative MotionRotational MotionStatics and TorqueWork, Energy and Power

Angular momentum — L = r × p = IωAngular speed — ω = dθ/dt = 2πfAngular-momentum conservation — Lᵢ = L𝒇Archimedes’ principle — Fᵦ = ρVgAverage acceleration — a = Δv / ΔtAverage speed — v̄ = total distance / total timeAverage velocity — v̄ = Δx / ΔtBernoulli’s equation — p + ½ρv² + ρgh = constantCentripetal acceleration — aᶜ = v²/r = ω²rCentripetal force — Fᶜ = mv²/rCircular-orbit speed — v = Constant-acceleration displacement — s = ut + ½at²Constant-acceleration velocity — v = u + atConstant-speed motion — s = vtContinuity equation — A₁v₁ = A₂v₂Efficiency — η = useful output / total inputElastic potential energy — Uₛ = ½kx²Escape speed — vₑ = Friction — f = μNGravitational field strength — g = ²Gravitational potential energy — Uᵍ = mghHooke’s law — F = −kxImpulse–momentum theorem — J = Δp = FΔtInstantaneous acceleration — a = Instantaneous velocity — v = Kepler’s third law — T² = 4π²r³/(GM)Kinematics without time — v² = u² + 2asKinetic energy — K = ½mv²Laplace pressure for a soap bubble — Δp = 4γ/RLinear momentum — p = mvMass–spring angular frequency — ω = Mass–spring period — T = 2πMechanical power — P = FvMechanical-energy conservation — Kᵢ + Uᵢ = K𝒇 + U𝒇Momentum conservation — Σpᵢ = Σp𝒇Newton’s law of gravitation — F = Gm₁m₂/r²Newton’s second law — F = maOrbital energy — E = −GMm/(2a)Parallel-axis theorem — I = I꜀ₘ + Md²Power — P = = Projectile flight time — t = 2v₀ sin θ / gProjectile range — R = v₀² sin(2θ) / gPythagorean theorem — c² = a² + b²Quadratic drag — Fᴅ = ½ρCᴅAv²Rotational equation of motion — τ = IαRotational kinetic energy — Kᵣₒₜ = ½Iω²Static-friction limit — fₛ ≤ μₛNStokes’ law — Fᴅ = 6πηrvTangential acceleration — aₜ = αrTangential speed — v = ωrTorque — τ = rF sin θTsiolkovsky rocket equation — Δv = u lnVector components — Aₓ = A cos θ, Aᵧ = A sin θVector magnitude — A = Vis-viva equation — v² = GMWeight — Fᵍ = mgWork — W = Fd cos θWork by a variable force — W = ∫F · drWork–energy theorem — Wₙₑₜ = ΔK

Alternating CurrentCapacitanceCircuitsCurrent and ResistanceElectric Charge and FieldsElectric PotentialElectromagnetic InductionElectromagnetic WavesGauss's LawInductanceMagnetic Field Sources and Ampere's LawMagnetic Forces and Fields

Ampère’s law — ∮B · dℓ = μ₀Iₑₙ꜀Capacitance — C = Capacitive reactance — X꜀ = 1/(ωC)Capacitors in parallel — Cₑq = ΣCᵢCapacitors in series — ₑq = ΣᵢCharging capacitor — V꜀ = VConstant-speed motion — s = vtCoulomb’s law — F = k|q₁q₂|/r²Discharging capacitor — I = I₀e⁻ᵗ/ᴿᶜElectric current — I = Electric flux — Φᴇ = EA cos θElectric force — F = qEElectric potential energy — ΔU = qΔVElectric power — P = VI = I²R = V²/RElectric-field definition — E = Electromagnetic wave fields — E₀ = cB₀Electromagnetic-wave intensity — I = ½cε₀E₀²Energy stored in a capacitor — U = ½CV² = Q²/(2C)Energy stored in an inductor — U = ½LI²Faraday’s law — ε = −N dΦᵦ/dtField around a straight wire — B = μ₀I/(2πr)Field inside a solenoid — B = μ₀nIField inside a toroid — B = μ₀NI/(2πr)Gauss’s law — ∮E · dA = Qₑₙ꜀/ε₀Ideal transformer — Vₛ/Vₚ = Nₛ/NₚInductive reactance — Xʟ = ωLKinetic energy — K = ½mv²LC resonance — f₀ = 1/(2π√LC)Magnetic flux — Φᵦ = BA cos θMagnetic force on a charge — F = qvB sin θMagnetic force on a wire — F = BIL sin θMechanical power — P = FvMotional emf — ε = BLvOhm’s law — V = IRParallel-plate capacitance — C = ε₀Point-charge electric field — E = ²Point-charge potential — V = Potential difference — ΔV = −∫E · dℓPower — P = = Poynting vector — S = E × BRC time constant — τ = RCResistance and resistivity — R = ρResistors in parallel — ₑq = ΣᵢResistors in series — Rₑq = ΣRᵢRL time constant — τ = Self-induced emf — ε = −L dI/dt

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