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Classical Mechanics Formulas
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Work-Energy Theorem
W = \Delta K
Stokes' Law (Drag Force on Sphere)
F_d = 6\pi\eta rv
Centripetal Acceleration
a_c = \frac{v^2}{r}
Universal Law of Gravitation
F = G \frac{m_1 m_2}{r^2}
Gravitational Force
F = G \frac{m_1 m_2}{r^2}
Conservation of Mechanical Energy
E_{total} = K + U
Escape Velocity
v_{escape} = \sqrt{\frac{2GM}{r}}
Impulse-Momentum Theorem
\vec{J} = \Delta\vec{p}
Angular Momentum
L = I\omega
Potential Energy (Gravity)
U = mgh
Kepler's Third Law
T^2 = \frac{4\pi^2}{G(M_1 + M_2)}a^3
Elastic Potential Energy
U = \frac{1}{2}kx^2
Momentum
p = mv
Newton's Second Law
\vec{F} = m\vec{a}
Bernoulli's Equation (Ideal Fluid Flow)
P + \frac{1}{2}\rho v^2 + \rho gh = \text{constant}
Centripetal Force
F_c = m\frac{v^2}{r}
Torque
\tau = rF\sin(\theta)
Conservation of Linear Momentum
\sum \vec{p}_{initial} = \sum \vec{p}_{final}
Kinetic Energy
K = \frac{1}{2}mv^2
Hooke's Law
F = -kx
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