Physics

Comprehensive physics reference with formulas and explanations

Projectile Range (level ground)

\(R = \frac{v_0^2 \sin(2\theta)}{g}\)

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First Law of Thermodynamics

\(\displaystyle \Delta U = Q - W\)

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Coulomb's Law

\(F = k\,\frac{q_1 q_2}{r^2}\)

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Gives the electrostatic force between two charges. The force is attractive if charges are opposite, repulsive if like-signed. It is an inverse-square law similar in form to gravity.

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Snell's Law (Refraction)

\(n_1 \sin \theta_1 = n_2 \sin \theta_2\)

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Wave Speed

\(v = f \,\lambda\)

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Planck-Einstein Relation

\(E = h\,f\)

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Indicates that electromagnetic radiation is quantized into photons, each with energy proportional to frequency. Higher frequency (e.g., X-rays) means higher energy per photon than lower frequency (e.g., radio waves).

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