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Advanced Mechanics - Coggle Diagram

- - - - s=ut+1/2at^2
      - v^2 = u^2 + 2as
      - v=u+at
    - - At max height Vy=0
      - Time of flight = 2 x first half of flight
      - Horizontal range = time x ux when y= 0 but t >0
      - Initial angle changes how Vy acts over times
- - - - Gravitational acceleration
        
        Gm/r^2
      - F=G x (m1m2)/r^2
        
        G= 6.67x10^-11
        
        Law of universal gravitational attraction
      - The fundamental force of attraction that an object has that acts on other bodies due to its mass
        
        Gravitaional field
        
        Anywhere a body willl experience a gravitational field
    - - v=2pir/T
        
        Root GM/r
  - - - The orbiting bodies sweeps equal area from between itself and the orbited bodies in equal times
    - - The planets period is proportional to its radius
        
        r^3/T^2 = GM/4Pi^2
    - - All orbiting bodies move in an elipitical motion with one one of two focal points for the centre ody
  - - - Due to atmospheric drag satellites can experience orbital decay that brings them to the surface of the orbited body
  - - - m(Gm/r^2)r=
        
        -GMm/r=
        
        Negative as the potentiol energy should be getting more positive as the radius increases
    - - Gmm/2r
    - - 1/2mv^2 =Gmm/r
        
        v escape = Root 2Gm/r
- - - - Assumed no friction
      - Fc =Force down bank
        
        = FnsinO
        
        = mg/cosO x sinO
        
        =mg tanO
        
        Fn= mg/cos0
      - v=Root grtanO
    - - Friction is the Fc acting inwards
        
        Ff=uN
    - - Tension is Fc but can act at an angle inward so use Tsin0
      - The horizontal component of Tension also equal to mg
  - - - F
        
        Force centripetal is acting perpidcular to tangential velocity
        
        The force that causes the body to stay in to the circular motion
      - v
        
        Tangential velocity is the velocity immediately straight outwards from out circle at a tangent
      - a
        
        Acceleration magnitude is 0 but direction is also perpendicular to motion
  - - - Force is perpindicular to displacement thus 0