JCE Physics study plan

Define and state SI units, dimensions, and prefixes for every quantity on the exam formula reference sheet, writing each from memory.

Derive the three kinematic equations from the definition of acceleration and apply them to free-fall and projectile problems without looking at notes.

Resolve vectors into components and add them graphically and algebraically, checking each resultant against an order-of-magnitude estimate.

Set up and solve 15 multi-step mechanics word problems, writing the free-body diagram before any algebra.

Apply Newton's three laws to connected bodies, inclines, and pulley systems, and identify action-reaction pairs in each setup.

Solve static and kinetic friction problems, determining whether friction is limiting before choosing coefficients.

Compute work done by constant and variable forces, including the work-energy theorem and power.

Analyze conservation of mechanical energy in systems with and without non-conservative forces.

Solve conservation-of-momentum problems in one and two dimensions, distinguishing elastic from inelastic collisions.

Derive and apply rotational kinematics and the moment-of-inertia formulas for rods, disks, spheres, and hoops about common axes.

Solve torque and static-equilibrium problems, including ladders, beams, and hanging signs.

Apply conservation of angular momentum to changing-radius and collision problems.

Relate simple harmonic motion to restoring forces, writing the equation of motion and extracting amplitude, period, and phase.

State and apply the defining equations of fluid statics: pressure, Pascal's principle, buoyancy, and continuity.

Apply Bernoulli's equation to at least five pipe-and-orifice scenarios and state the assumptions each time.

Solve calorimetry and latent-heat problems, tracking signs and phase changes explicitly.

Apply the first law of thermodynamics to isothermal, adiabatic, isobaric, and isochoric processes and compute efficiency of a heat engine.

Apply Coulomb's law and superposition to compute the electric field and potential of discrete and continuous charge distributions.

Use Gauss's law to find the field of spheres, cylinders, and planes, justifying the symmetry argument each time.

Compute capacitance for parallel-plate and series/parallel combinations and track energy stored.

Solve DC circuits with Kirchhoff's rules, including multi-loop networks and internal resistance.

Compute the magnetic force on moving charges and current-carrying wires and the field of simple configurations.

Apply Faraday's and Lenz's laws to changing-flux problems, stating the direction of induced current before computing magnitude.

Analyze RL and RC circuits qualitatively and quantitatively, including time constants.

Solve wave problems involving superposition, standing waves, resonance, and the Doppler effect.

Apply geometric optics rules to mirrors and thin lenses, drawing ray diagrams and using the lens equation with correct sign conventions.

Solve single- and double-slit interference and diffraction-grating problems.

Apply the photoelectric equation, photon energy relations, and de Broglie wavelength to numerical problems.

Solve nuclear decay and binding-energy problems, balancing reactions and computing half-life quantities.

Interpret relativity consequences qualitatively and compute time dilation and length contraction for given speeds.

Identify your three weakest sub-topics from prior error logs and rebuild each from first principles with worked examples.

Complete two full-length timed practice exams under exam conditions, pacing at roughly one minute per question.

Classify every error as conceptual, algebraic, or misread, and rank causes by frequency.

Re-solve every missed problem from scratch without notes until each is correct twice.

Memorize the constants, unit conversions, and formula sheet layout so no time is lost looking things up.