Motion, Force and Energy
Motion, Force and Energy
ORG
CAIE IGCSE
PHYSICS
CAIE IGCSE PHYSICS
                                                                     1. 4000 = 4 × 10 × 10 × 10 = 4 ×   10 3
                                                                     2. 400 = 4 × 10 × 10= 4 × 10 2
  1. Motion, Forces and Energy
                                                               All answers in this IGCSE Physics syllabus can be written in 2
                                                               or 3 signi cant gures.
  1.1. Physical Quantities and
  Measurement Techniques                                       Common Length Conversions
     Time
        Clock, Digital Timers (reading to 0.1s or better) to
        measure time intervals
                                   d
  AverageSpeed =                   t
                                       
Distance-Time Graphs
                                                               Free Fall
                          Distance-Time Graphs                    The acceleration of free fall “ɡ” for an object near the
   1                            Acceleration                      surface of the Earth is constant and is approximately 9.8
   2                               At rest                        m/s².
   3                            Deceleration                      Do note! In free fall, there is No Air Resistance.
                                                                  From 2023 onwards, the instructions will tell you to use
   4                           Constant Speed
                                                                  9.8 m/s². This detail is very important for numerous
                                                                  calculations in this chapter.
Terminal Velocity
Speed-Time Graphs
                           Speed-Time Graphs
   1                     Increasing Acceleration
   2                           Constant Speed
   3                     Decreasing Acceleration
   4                      Uniform Acceleration
   5                      Uniform Deceleration
   6                    Decreasing Deceleration
   7                     Increasing Deceleration
  Acceleration
                                                                   1. As speed increases, air resistance increases.
  Acceleration: the change in velocity per unit of time.
                                                                   2. The acceleration will decrease.
            Δv
  a = v−u
       Δt = Δt            
                                                                   3. Eventually, air resistance = weight, leading to zero
                                                                      resultant force. This reaches terminal velocity.
  Where:
                                                                   4. When the parachute is deployed, the parachute
       a is acceleration                                              surface area increases, leading to increased air
       v is the nal velocity                                          resistance, decelerating the skydiver.
       u is the initial velocity                                   5. As the skydiver decelerates, air resistance will
       Δt is the change in time.                                      decrease until it equals the weight. A new terminal
                                                                      velocity is reached again.
  The di erence between the initial and nal velocity nds the       6. At last, when it touches down, the velocity quickly
  change in velocity.                                                 drops to zero.
  Gravitational eld strength g: as force per unit mass.               Forces may produce changes in an object's size, shape
  The equation for gravitational eld strength is :                    and motion.
                                                                      Solid friction is the force between two surfaces that may
  g=W
    m
              
Spring Constant
Where:
     The lesser the external forces opposing a moving body,           no resultant force
     the smaller the force needed to keep it moving with              clockwise = anticlockwise
     constant velocity
                                                                   Center of Gravity
  Newton’s Second Law
                                                                   Centre of Gravity: the position at which all the mass of the
  F = ma                                                           object is acted at
  Friction is the force that opposes one surface moving or         1.6. Momentum
  trying to move.
                                                                   Momentum: as mass x velocity (kg m/s)
     Static Friction: when the force is applied on the object at
     the start, and the friction is at its highest value
                                                                   The equation for momentum is    p = mv
     Dynamic Friction: when friction acts on the object when it    Where:
     moves, it is less than the maximum value.
                                                                      p is momentum
                                                                      m is mass
  Centripetal Force                                                   v is velocity
     The force that acts towards the curve's centre and keeps      The resultant force is de ned as the change in momentum
     a body moving in a circular path is called the centripetal    per unit of time:
     force.
     Describe the motion in a circular path due to a force         F = Δp
                                                                       Δt      
     Moment of a force as a measure of its turning e ect.          1.7. Energy, Work and Power
  The moment of a force is de ned as                                  Energy 'stores’ are kinetic, gravitational potential,
  moment = force x perpendicular distance from pivot                  chemical, elastic (strain), nuclear electrostatic and
                                                                      internal (thermal).
  Applying the Principle of Moments                                   Energy is transferred between stores during events and
                                                                      processes.
         When a body is not moving the sum of the
                                                                      Energy is transferred by forces (mechanical work done),
         clockwise moments about any point equals the
                                                                      electrical currents (electrical work done), heating,
         sum of the anticlockwise moments about the
                                                                      electromagnetic, sound, and other waves.
         same point. There is no resultant moment on
         an object in equilibrium
                                                                   The Principle of the Conservation of Energy
         clockwise = anticlockwise
                                                                      The principle of energy conservation states that energy is
     Apply the principle of moments in situations with more
                                                                      neither created nor destroyed. It may transform from one
     than one force on each side of the pivot.
                                                                      type to another.
  Conditions for No Resultant Force
CAIE IGCSE PHYSICS
                                                                      W = Work Done
                                                                      F = magnitude of the force
                                                                      d = the distance in the direction of the force
                                                                  Energy Resources
  Change in Gravitational Potential Energy
                                                                  Useful energy may be obtained, or electrical power
                                                                  generated, from:
                                                                      Non-Renewable Energy
                                                                                                     Renewable Energy Sources
                                                                            Sources
                                                                              Fossil Fuels                          Wind
                                                                                  Oils                              Tidal
                                                                                 Coal                        Hydro-electric
                                                                              Natural Gas                     Geothermal
                                                                                                        Solar (EM Waves from the
                                                                               Nuclear
                                                                                                                  sun)
                                                                                      -                         Biofuels
E ciency
Power
  Power: work done per unit of time and energy transferred per
  unit of time.
     W                                                                                   Particles that make up matter can be made of one or
  P=           
                                                                                         more atoms
     t
     ΔE                                                                                  As particles of gas strike the walls of containers, their
  P=               
                                                                                         momentum changes and a force is created, which can be
      t                                                                                  calculated using the following:
     P = power (watt)
     W = work done (J)                                                                                  ΔP
                                                                                     Fnet =
     ΔE = energy transferred (J)                                                                        Δt
                                                                                                            
     T = time (s)
                                                                                         The temperature has an Absolute Zero: -273 ℃ (Zero
                                                                                         Kinetic Energy)
  1.8. Pressure                                                                          Brownian Motion is the random motion of particles
                                                                                         suspended in a uid resulting from their collision with
  Pressure is de ned as force per unit area and measured in                              fast-moving atoms or molecules in the uid.
  N/m or Pa. 1 Pa = 1 N/m
                                                                                         V
                                                                                         k
  Pressure in Liquids                                                                P =            
                                                                                         V
                                                                                     ∴ k = PV
  Pressure beneath a liquid's surface changes with the liquid's
  depth and density. The equation gives the change in pressure
                                                                                           P1 V1 = P2 V2