📚 Final Review & Comprehensive Exam

Weeks 16 — You've made it! Let's review everything.

🎯 Review Topics

Here's a quick-reference summary of all key concepts:

📖 Section 1: Kinematics

v = v₀ + at
x = x₀ + v₀t + ½at²
v² = v₀² + 2a(x − x₀)
Projectile: x = v₀ₓt,   y = v₀ᵧt − ½gt²

📖 Section 2: Newton's Laws

ΣF = ma
f = μN
F = Gm₁m₂/r²
Fcentripetal = mv²/r

📖 Section 3: Energy

W = Fd·cos(θ)
KE = ½mv²,   PE = mgh,   PEs = ½kx²
Wnc = ΔKE + ΔPE
P = W/t = F·v

📖 Section 4: Momentum

p = mv
FΔt = Δp
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

📖 Section 5: Rotation

τ = rF·sin(θ)
τ = Iα
KE = ½Iω²
L = Iω (conserved)

📖 Section 6: Gravitation

F = GMm/r²
vorbit = √(GM/r)
vescape = √(2GM/R)

📖 Section 7: SHM

F = −kx
T = 2π√(m/k)   (spring)
T = 2π√(L/g)   (pendulum)

📖 Section 8: Fluids

P = F/A
P = ρgh + P₀
Fb = ρfluidVdisplacedg
P + ½ρv² + ρgh = constant

📖 Section 9: Waves & Sound

v = fλ
fn = nv/2L   (string)
fobs = fs(v ± vobs)/(v ∓ vs)
β = 10 log₁₀(I/I₀)

📖 Section 10: Thermodynamics

Q = mcΔT
Q = mL
PV = nRT
ΔU = Q − W
η = W/Qh = 1 − Qc/Qh

📝 Comprehensive Exam

30 questions covering all topics. Aim for 80%+ to pass!

Q1 (Kinematics): A car accelerates from rest at 3 m/s² for 8 seconds. What is its final speed?

Q2 (Newton's Laws): A 10-kg box is pushed with 40 N on a frictionless surface. What is its acceleration?

Q3 (Energy): A 2-kg ball is dropped from 20 m. Ignoring air resistance, what is its speed at impact?

Q4 (Momentum): A 0.15-kg baseball moving at 40 m/s is hit back at 50 m/s. What is the impulse?

Q5 (Rotation): A solid disk (I = ½MR², M = 4 kg, R = 0.3 m) spins at 20 rad/s. What is its rotational KE?

Q6 (SHM): A mass-spring system has k = 50 N/m and m = 2 kg. What is the period?

Q7 (Fluids): Water pressure at a depth of 10 m (gauge) is approximately:

Q8 (Waves): A wave has frequency 100 Hz and wavelength 2 m. What is its speed?

Q9 (Thermo): How much energy to melt 0.5 kg of ice at 0°C? (Lf = 334,000 J/kg)

Q10 (Thermo): A heat engine absorbs 1000 J and rejects 600 J. What is its efficiency?

📝 Comprehensive Exam (Part 2)

Q11 (Gravitation): If you double the distance between two masses, the gravitational force becomes:

Q12 (Energy + Friction): A 5-kg block slides at 8 m/s. μk = 0.3. How far does it slide before stopping?

Q13 (Doppler): A 500 Hz source moves toward you at 34 m/s. (vs = 340 m/s) What frequency do you hear?

Q14 (Work): You push a 10-kg box 5 m with a force at 60° to the displacement. If F = 20 N, how much work is done?

Q15 (Ideal Gas): 2 moles of gas at 300 K in a 0.01 m³ container. What is the pressure? (R = 8.314)

📊 Your Score