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Classical Mechanics Concepts

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Conservation of Momentum

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The total momentum of a closed system is conserved unless acted upon by external forces.

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Impulse

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J=FΔt=Δp J = F\Delta t = \Delta p

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Newton's First Law

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An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

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Newton's Second Law

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F=ma F = ma

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Work

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W=Fdcos(θ) W = Fd \cos(\theta)

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Potential Energy

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PE=mgh PE = mgh

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Angular Momentum

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L=Iω L = I\omega

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Mechanical Advantage

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The ratio of the output force to the input force in a system.

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Centripetal Force

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Fc=mv2r F_c = \frac{mv^2}{r}

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Gravitational Force

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Fg=Gm1m2r2 F_g = G\frac{m_1m_2}{r^2}

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Power

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P=Wt P = \frac{W}{t}

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Kinetic Energy

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KE=12mv2 KE = \frac{1}{2}mv^2

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Torque

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τ=Frsin(θ) \tau = Fr\sin(\theta)

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Hooke's Law

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F=kx F = -kx

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Newton's Third Law

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For every action, there is an equal and opposite reaction.

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