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Physics
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Physics: explore STEM content (page 9 of 27) · openstem
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List the four steps of the Carnot cycle in order.1 / 10
1) Isothermal expansion at T_h, absorbing Q_h. 2) Adiabatic expansion, T falls from T_h to T_c (Q = 0). 3) Isothermal compression at T_c, rejecting Q_c. 4) Adiabatic compression, T rises back from T_c to T_h (Q = 0), returning the gas to its starting state.
What is a Poincaré section, and why is it a useful tool for analyzing chaotic flows?1 / 8
A Poincaré section reduces a continuous flow in an n-dimensional phase space to a discrete map on an (n−1)-dimensional surface, by recording the state each time the trajectory crosses a chosen surface transversally (e.g. z = z₀ with ż > 0). A periodic orbit becomes a single fixed point (or finite set of points) on the section; a strange attractor appears as a self-similar fractal pattern of points. It converts an intractable continuous problem into a discrete map that is far easier to visualize and analyze.
The whole particle content Two families of spin-½ matter fermions, three generations each, plus the bosons that carry the forces. Only the first generation makes up anything you'll ever hold. Quarks and confinement Pull two quarks apart and
Physics
Physics · L5 · The Standard Model: Fermions, Bosons, and Hadrons
What is the wave equation relating speed, frequency, and wavelength?1 / 10
v = fλ. Speed v is a property of the medium (not frequency). In vacuum, electromagnetic waves travel at c = 3 × 10⁸ m/s. Angular frequency ω = 2πf; wave number k = 2π/λ; then v = ω/k.
Two shapes, two behaviours A lens is curved transparent material that bends light on purpose. The curvature means rays hitting different parts get bent by different amounts, and that's what forms an image instead of just letting light throu
Motion that repeats Periodic motion is any motion that repeats the same pattern over and over. A swinging pendulum is the classic, but a bouncing ball, a rocking chair and a heartbeat all qualify. Note the cycle isn't over at the far side.
Write the wave equation Maxwell's equations produce for the electric field in vacuum.1 / 8
∂²E/∂x² = μ₀ε₀ ∂²E/∂t², a standard 1D wave equation with solution speed v = 1/√(μ₀ε₀) = c. An identical equation holds for B. Any function of the form f(x − ct) or f(x + ct) satisfies it.
Physics
Physics · L4 · Maxwell's Equations — EM Wave Properties
What defines a plasma as a distinct state of matter, beyond simply being an ionised gas?1 / 7
A plasma is a quasi-neutral ionised gas exhibiting collective behaviour — charged particles interact with the self-consistent electromagnetic fields generated by the whole ensemble, not just via individual nearby collisions. This collective, long-range electromagnetic coupling is what distinguishes plasma dynamics from an ordinary neutral gas.
Four equations, one prediction nobody asked for Maxwell gathered everything known about electricity and magnetism into four statements, fixed an inconsistency in one of them, and out fell a wave travelling at the speed of light. 1. Gauss's
Define binding energy per nucleon and what it measures.1 / 10
BE/A = [Zmₚ + Nmₙ − M(nucleus)]c² / A — the average energy needed to remove one nucleon from the nucleus. Higher BE/A means a more tightly bound, more stable nucleus.
Torque is a twist A force applied off-centre from a pivot doesn't just push, it turns. Doors, wrenches and see-saws all run on this. Three dials, all of them matter Worked: 150 N on a wrench 0.25 m from the bolt. Rotational equilibrium Work