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Existing (knowing things (science # (chemistry (materials science, light…

- - - - materials science
      - light chemistry
    - - Classical Physics
        
        Mechanics
        
        Kinematics
        
        Kinematic Formulas
        
        acceleration
        
        velocity
        
        initial velocity + definite integral of acceleration over the interval
        
        distance
        
        initial distance + definite integral of velocity over the interval
        
        average
        
        is the change in acceleration/velocity/distance over the change in time.
        
        instantaneous
        
        is the limit as time -> 0
        
        Projectile Motion
        
        Projectile Motion Equations
        
        [on paper]
        
        Coordinates
        
        Velocities
        
        Accelerations
        
        ax = const, 0
        
        ay = g
        
        Forces
        
        Friction
        
        Kinetic
        
        Static
        
        Rolling
        
        Fluid Resistance
        
        For slow Speeds in a fluid, the friction on the object is
        
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        at higher speeds, the friction becomes proportional to the square of velocity, so the friction becomes
        
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        Terminal Speeds
        
        For slow moving objects, the terminal speed is (when Fg = fluid resistance; when mg = kv)
        
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        For quicker objects, mg = Dv^2
        
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        Newtons Laws
        
        net force = 0; acceleration = 0
        
        Fa on b = -Fb on a
        
        net force = mass x acceleration
        
        Springs
        
        Fx = -Kx
        
        the restoration force, has the neg because its opposite its direction of pull, the applied force.
        
        normal
        
        tension
        
        gravitational
        
        Work/Energy
        
        Work
        
        W = Scalar product: F * s
        
        W = Fs (force x displacement)
        
        W = Fscos(theta)
        
        Negative Work
        
        ex: pushing against the direction of motion for a moving object
        
        Variable Work
        
        Integral of the Force function over a definite distance
        
        Power
        
        P = W/t
        
        P = dot product: F*v (force times dot product velocity)
        
        Energy
        
        Kinetic
        
        K = 1/2mv^2
        
        Potential
        
        on paper
        
        Conservation of Energy
        
        on paper
        
        Work - Energy Theorem:
        
        Wtot = K2 - K1 = deltaK
        
        Momentum
        
        Impulse
        
        J = Net force x change in time
        
        J = change in momentum
        
        J = definite integral of net force over time
        
        usually very short times, in milliseconds, with massive net force.
        
        p=mv - p and v are vectors
        
        Collisions
        
        collision classes
        
        Some elasticity
        
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        Completely Inelastic
        
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        Completely Elastic
        
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        Lost Energy in Collisions:
        
        Lost kinetic energy = initial KE - final KE
        
        KE = 1/2m(p/m)^2
        
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        Center of Mass
        
        the center of mass for a collection of masses is the sum of the bodies respective position times mass, over the sum of the masses
        
        CM is the mass-weighted position of particles
        
        a spinning object, like a tennis racket, will spin around its CM, with the CM following the projectile trajectory
        
        when an object breaks apart in a projectile motion system, the cm will follow the original course, but the split objects will diverge
        
        Total mass x velocity of center of mass = total momentum #
        
        net external force = total mass x acceleration of cm #
        
        Rotational Dynamics
        
        Circular Forces
        
        Centripetal Force
        
        just the apparent force you feel, there isn't actually a force, just inertia of the rotation redirecting your velocity under the radial acceleration.
        
        Centrifugal (false/fake/non-existant)
        
        Ciruclar Accelerations
        
        tangential acceleration
        
        radial acceleration
        
        rotating bodies / tangential x, v, and a
        
        Rotational dynamics equations (basically the kinematics but rotating with angles
        
        energy
        
        kinetic
        
        KE = 1/2 x I x w^2 (half times moment of inertia at pivot point times angular velocity squared)
        
        Ip = Icm + md^2
        
        inertia
        
        parallel axis theorem #
        
        Ip = Icm x md^2
        
        parallel axis theorem
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