physics

Physics

Classical Mechanics

• Newton's Second Law: $$ F = ma $$
• Conservation of Momentum: $$ p = mv $$
• Conservation of Energy: $$ E = K + U $$

Electromagnetism

• Coulomb's Law: $$ F = \frac{kq_1q_2}{r^2} $$
• Gauss's Law: $$ \oint \vec{E} \cdot d\vec{A} = \frac{Q_{enc}}{\epsilon_0} $$
• Faraday's Law of Induction: $$ \mathcal{E} = -\frac{d\Phi_B}{dt} $$

Thermodynamics

• First Law of Thermodynamics: $$ \Delta U = Q - W $$
• Second Law of Thermodynamics: $$ \Delta S \geq \frac{Q}{T} $$

Quantum Mechanics

• Schrödinger Equation: $$ i\hbar \frac{\partial \psi}{\partial t} = \hat{H} \psi $$
• Heisenberg Uncertainty Principle: $$ \Delta x \Delta p \geq \frac{\hbar}{2} $$

Relativity

• Mass-Energy Equivalence: $$ E = mc^2 $$
• Time Dilation: $$ t' = \frac{t}{\sqrt{1 - \frac{v^2}{c2}}} $$
• Length Contraction: $$ L' = L\sqrt{1 - \frac{v^2}{c2}} $$