M1

Descripción

A-Level Maths Mapa Mental sobre M1, creado por antybob23 el 16/11/2013.
antybob23
Mapa Mental por antybob23, actualizado hace más de 1 año
antybob23
Creado por antybob23 hace más de 10 años
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1

Resumen del Recurso

M1
  1. Things moving in a straight line
    1. graphs
      1. velocity-time
        1. gradient = acceleration
          1. area = distance
          2. acceleration-time
            1. distance-time
            2. constant acceleration formulae

              Nota:

              • \[v = u + at\]
              • \[s=\frac{u+v}{2}t\]
              • \[v^{2}=u^{2}+2as\]
              • \[s = ut + \frac{1}{2}at^{2}\]
              • \[s = vt - \frac{1}{2}at^{2}\]
              1. horizontal movement
                1. one thing
                  1. two things
                    1. time lag
                      1. distance
                    2. gravity as acceleration / deceleration
                      1. dropping things
                        1. throwing things upwards
                          1. off something higher
                          2. throwing something up towards a falling thing
                        2. s = vt (constant speed)
                        3. Forces on straight-line things
                          1. F=ma
                            1. Forces
                              1. Normal reaction
                                1. perpendicular to surface
                                2. Weight
                                  1. always down
                                    1. w = mg
                                    2. Friction
                                      1. Fmax = mu x R
                                      2. Tension
                                        1. from strings
                                          1. goes both ways
                                          2. impulse

                                            Nota:

                                            • \[impulse = Ft\]
                                            1. change in momentum

                                              Nota:

                                              • \[mv-mu\]
                                            2. momentum

                                              Nota:

                                              • \[momentum=mv\]
                                              1. conservation of momentum

                                                Nota:

                                                • \[m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2} \]
                                            3. Resolving forces

                                              Nota:

                                              • cos through the angle
                                              1. force acts at angle
                                                1. object on slope
                                                  1. when tan(x) <= mu, it'll be at rest
                                                2. question types
                                                  1. two objects connected with string

                                                    Nota:

                                                    • remember tension goes both ways
                                                    • can consider each thing by itself
                                                    1. simple horizontal movement
                                                      1. slopes
                                                        1. simple vertical movement
                                                          1. through water
                                                          2. objects inside other objects

                                                            Nota:

                                                            • can consider whole thing together, or just the object inside
                                                            1. pulleys
                                                              1. both vertical
                                                                1. one vertical, one horizontal
                                                                  1. one or both on slopes
                                                                  2. collisions
                                                                    1. coalescions
                                                                      1. explosions
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