HUGE PACK: IGCSE Flashcards
speed:
-> the distance travelled per unit time
-if the speed of something is changing, it is accelerating
-acceleration of free fall near to the earth is constant
distance-time graphs:
-the gradient is the velocity
-negative gradient = object is returning back to the starting point
-horizontal line = means object is stationary
-if distance is 0 = object is at the starting point
-curved line = means that the velocity is chaniging, and it is accelerating
formula linking average speed, time and distance:
average speed = distance moved/ time taken
practical: investigate the motion of everday objects such as toy cars or tennis balls
- Set up aparatus
- Mark a line on the ramp-this is going to make sure the car starts at the same point each time
- Measure the distance between each light gate-you’ll need this to find the car’s average speed
- Let go of the car just before the light gate so that it start to roll down the slope
- The light gates should be connected to a computer. When the car passes through each gate, a beam of light is broken and a time is recorded by data-logging software
- repeat this experiment several times and get an average time it takes for the car to reach each light gate
- using these times and the distances between gates you can find the average speed of the car on the ramp and the average speed of the car on the runway-just divide the distance between the light gate by the average time taken for the car to travel between gates
velocity and acceleration:
-velocity: is the speed in a given direction
-acceleration: is the change in velocity per unit time
formula linking acceleration, change in velocity and time taken
acceleration = change in velocity/time taken
a = (v-u)/t
velocity-time graphs:
-the gradient is acceleration
-negative gradient (i.e. negative acceleration) = deceleration
-if speed is zero = it is at rest
-horizontal line = means constant speed
-the area under the line = distance travelled
-curved line = means that the acceleration is changing
formula linking final speed, initial speed, acceleration and distance moved:
(final speed)² = (initial speed)² + (2 x acceleration x distance moved)
v² = u² + (2 x a x s)
effects of forces:
-forces can change the speed, shape or direction of a body and they are measure in Newtons (N)
-there are various types of forces (e.g. gravitational, electrostatic)
vectors and scalars:
-vector: have magnitude and direction
examples: displacement, velocity, acceleration & force
-scalar: has just magnitude
examples: distance, speed, time & energy
finding the resultant force:
-to find the resultant of two or more forces acting along the same line, they should be added together if in the same direction and subtracted if in the opposite direction
friction:
-> is a force between two surfaces which impedes motion and results in heating
-air resistance is a form of friction
Newton’s first law:
-Newton’s first law states that an object has a constant velocity unless acted on by a resultant force
Newton’s second law:
-states that:
force = mass x acceleration
f = ma
mass and weight:
-mass: is a measure of how much matter is in an object, measured in kilograms (kg)
-weight: is a gravitational force (the effect of a gravitational field on a mass)
weight = mass x gravitational field strength
w =mg
-the gravitational field strength on earth is 10N/kg
motion of a body falling in a uniform gravitational field: terminal velocity
-initially, there is no air resistance and the only force acting on it is weight
-as it falls, it accelerates which increases its speed and hence air resistance
-this causes the resultant force downwards to decrease
-therefore, the acceleration decreases, so it is not speeding up as quickly
-eventually they are equal and opposite and balance so there is no resultant force
-so, there is no acceleration and the terminal velocity is reached
factors affecting vehicle stopping:
-the distance travelled in the time between the driver realising he needs to brake and actually pressing the brakes is called the thinking distance
-factors which increase the thinking distance include:
-greater speed
-slower reaction time due to alcohol, tiredness or distractions. Reaction time can also be increased by caffeine, which reduced the thinking distance
-the distance travelled in the time between pressing the brakes and the vehicle coming to a stop is called the braking distance
-factors which increase the the braking distance include:
-greater speed or mass
-poor road conditions (icy, wet) or car conditions (worn tires, worn brake pads)
-the stopping distance is the sum of the thinking distance and braking distance
practical: investigate how extension varies with applied force for helical springs, metal wires and rubber bands
- using the ruler, measure the initial length of the first spring when no force is applied
- set up the spring so it is hanging securely from the clamp stand
-you can also secure the ruler to the clamp to ensure it does not move at all during the experiment - add one of the masses and record the extension of the spring
-the extension is the difference between the new length and the initial length - continue adding masses and recording the extension each time
- plot a graph of force applied against the extension of the spring
-force can be calculated from mass x gfs (i.e. 10 x the mass hanging on the spring)
-the gradient of the line of best fit will be the spring constant as k = F/x
Hooke’s Law:
-states that for a spring, F = kx where F is the force applied to the spring, k is the spring constant, and x is the extension
Hooke’s Law: graphs
Linear (straight line) force (y-axis) -extension (x-axis) graph:
-elastic deformation following Hooke’s law
-the point it stops being linear is called the limit of proportionality, from the on, it does not obey Hooke’s law
-gradient is the spring constant, k
Non-linear (curved line) force-extension graph:
-deformation not following Hooke’s Law
-after this region, it will fracture
the properties of a circuit:
-current is the flow of charge round the circuit, electrons carry the charge (-) and will only flow through a component if there is voltage across that component (unit: ampere- A)
-voltage (potential difference) is what drives the current round the circuit (unit: volts- V)
-resistance is anything in the circuit which slows the flow. If you add more components to the circuit there will be a higher overall resistance (unit: ohm)
-if you increase the voltage-then more current will flow
-if you increase the resistance-then less current will flow
the ammeter + voltmeter:
the ammeter:
-measures the current flowing through the component
-must be placed in series anywhere in the main circuit, but never in parallel like the voltmeter
the voltmeter:
-measures the voltage across the component
-must be placed in parallel around the component under test-NOT around the variable resistor or the battery!
ac & dc:
-the Uk mains electricity supply is approximately 230 volts
-it is an a.c supply (alternating current), which means the current is constantly changing direction
-cells and batteries supply d.c (direct current), which means that the current keeps flowing in the same direction
Ohm’s Law: formula linking voltage, current and resistance
voltage = current x resistance
V = IR
- steeper line = lower the resistance
-a straight-line = constant + resistance
-graph curves = resistance is changing
current-voltage graphs:
1) Wire: the current through a wire (at constant temperature) is proportional to voltage
2) Different (fixed) Resistors: the current through a resistor (at constant temperature) is proportional to voltage. Different resistors have different resistances, hence the different slopes
3) Metal Filament Lamp: as the temperature of the metal filament increases, the resistance increases, hence the curve
4) Diode: current will only flow through a diode in one direction
Light-Emitting Diodes: LEDs
-LEDs emit light when a current flows through them in the forward direction. They have lots of practical applications
-they are used for the numbers on digital clocks, in traffic lights and in remote controls
-unlike a light bulb, they don’t have a filament that can burn out
-LEDs, like lamps, indicate the presence of current in circuit. They are often used in appliances to show that they are switched on
Light-Dependent Resistors: LDRs
-LDRs are a special type of resistor that changes its resistance depending on how much light falls on it
-in bright lights, the resistance falls and in darkness, the resistance is highest
-this makes it a useful device for various electronic circuits, e.g: burglar detectors
-in graphs the same + a non-ohmic resistor
thermistors:
-a thermistor is a temperature-dependent resistor
-in hot conditions, the resistance drops and in cool conditions, the resistance goes up
-thermistors make useful temperature detectors, e.g: car engine temperature sensors, thermostats and fire alarms
fixed resistors + wires: graph
-current through a fixed resistor or a wire increases as the p.d across it increases
-current is directly proportional to p.d for a fixed resistor (or a wire)
-this is because the resistance of the fixed resistor (or wire) stays constant
-current on y-axis and p.d on x-axis
-ohmic resistor
filament lamps: graph
-current + voltage is not directly proportional because the resistance of the filament lamp increases as the temperature of the filament increases
-the higher temperature causes the atoms in the metal lattice of the filament to vibrate more
-this causes an increase in resistance as it becomes more difficult for free electrons (the current) to pass through
-resistance opposes the current, causing the current to increase at a slower rate
-non-ohmic resistor
diodes:
-allows current in one direction only called: forward bias
-in the reverse direction, the diode has a very high resistance, and therefore no current flows called: reverse bias
diodes: IV graphs
-when the current is in the direction of the arrowhead current symbol, this is forward bias
-shown by a sharp increase in p.d and current on the right side of the graph
-when the diode is switched around, this is reverse bias
-shown by a zero reading of current or p.d on the left side of the graph
-non-ohmic resistor
resistors:
-two types: fixed resistors, variable resistors
-fixed resistors have a resistance that remains constant
-variable resistors can change the resistance by changing the length of wire that makes up the circuit
-a longer length of wire has more resistance than a shorter length of wire
thermistors: graph
-the resistance changes a lot for small changes in temperature
-resistance decreases with increasing temperature
-non-ohmic resistor
series circuits: properties
-in series circuits, the different components are connected in a line, end to end, between the +ve and -ve of the power supply (except for voltmeters, which are always connected in parallel, but they don’t count as part of the circuit)
-if you remove or disconnect one component, the circuit is broken and they all stop working. This is generally not very handy, and in practice only a few things are connected in series, e.g: fairy lights
series circuits: actual circuit
-the current is the same everywhere. I1 = I2 = I3 = … The size of the current depends on the total potential difference and the total resistance of the circuit (I = Vtotal divided by Rtotal)
-the total resistance is the sum of the resistance of each component in the circuit- Rtotal = R1 + R2 + R3 + ….
parallel circuits: properties
-in parallel circuits, each component is seperately connected to the +ve and -ve of the supply (except ammeters, which are always in series)
-if you remove or disconnect one component, it will hardly affect the others at all
-this is obviously how most things must be connected, for example in cars and in household electrics
parallel circuits: actual circuit
-the potential difference is the same across all branches. V1 = V2 = V3 = etc
-current is shared between branches. Itotal = I1 + I2 + I3 + etc.
-there are junctions where the current either splits or rejoins. The total current going into a junction equal the total current leaving it, as charge can’t just dissapear or appear
-if two identical components are connected in parallel then the same current will flow through each component
formula linking charge, current and time
charge = current x time
Q = It
formula linking energy transferred, charge & voltage:
energy transferred = charge x voltage
E (in joules) = Q x V
formula linking energy transferred, charge, current & resistance:
energy transferred = charge x current x resistance
E = Q x I x R
wires in a plug:
-there are three wires in a plug-live,neutral and earth
-only the live and neutral wires are usually needed, but if something goes wrong, the earth wire stops you getting hurt
-live wire (brown): provides a path along ehich the electrical energy from the power station travels
-neutral wire (blue): completes the circuit by carrying the current back to the original power source
-earth wire (green + yellow): to protect the user by providing a path for the current to escape without passing you/user
appliances being earthed and insulated:
-all apliances with metal cases must be “earthed” to reduce the danger of electric shock, “earthing” just means that the case must be attached to an earth wire, an earthed conductor can never become live
-if the appliance has a plastic casing and no metal parts showing then it’s said to be double insulated
-the plastic is an insulator, so it stops a current flowing-which means you can’t get a shock, anything with double insulation doesn’t need an earth wire-just a live and neutral
circuit breakers:
-circuit breakers are an electrical safety device used in some circuits, like fuses, they protect the circuit from damage if too much current flows
-when circuit breakers detect a surge in current in a circuit, they break the circuit by opening a switch
-a circuit breaker can easily be reset by flicking a switch on the device, this make them more convenient than fuese-which have to be replaced once they’ve melted
electrical power
-> electrical power is the rate at which an appliance transfers energy
-an appliance with a high power rating transfers a lot of energy in a short time
-this energy comes from the current flowing through it. This means that an appliance with a high power rating will draw a large current from the supply
electrical power (measured in Watts) = current x voltage
P=IV
formula linking energy transferred, current, voltage and time
Energy transferred = Current x voltage x time
E = I x V x t
waves:
-gaves transfer energy and information without transferring matter; the particles oscillate about a fixed point
-transverse waves
-longitudinal waves
transverse waves:
-have peaks and troughs
-vibrations are at right angles (perpendicular) to the direction of travel
-e.g. light