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SI unit - time
seconds(s)
SI unit - length
metre(m)
SI unit - current
ampere(A)
SI unit - amount of substance
mole(mol)
SI unit - mass
kilogram(kg)
SI unit - temperature
Kelvin(K)
giga
G, 10^9
mega
M 10^6
kilo
k, 10^3
centi
c, 10^-2
milli
m 10^-3
micro
μ 10^-6
nano
n 10^-9
How to convert celsius to Kelvin
C + 273.15 = K
how to convert from N/cm² to pascals
pascals is N/m² so multiply by 10000 (100×100)
systematic error
All data points are affected by the same amount. E.g. Scale has not been zeroed before use.
random error
Only some data points are affected, or all data points are affects by a different amount. E.g. taking measurement from a fluctuating scale or multimeter.
how can you improve accuracy in time measurements
Using a longer time to reduce percentage uncertainty due to human reaction time. E.g. time over longer distance or for multiple rotations.
Give ways in which measurements can be taken accurately.
Measure at eye level to reduce parallax error
Repeat and average
Use an instrument with a higher resolution
Increase time so that human reaction time is a smaller percentage of the measurement
Record with a slow motion camera with ruler and timer in shot.
Energy Store - Kinetic
the energy of a moving object
Energy Store - Gravitational
The energy an object has due to its height in a gravitational field
Energy Store - Elastic
the energy stored when an object is stretched, squashed or bent
Energy Store - Magnetic
the energy stored when repelling poles have been pushed closer together or when attracting poles have been pulled further apart
Energy Store - Electrostatic
the energy stored when repelling charges have been moved closer or when attracting charges have been pulled further apart
Energy Store - Chemical
the energy stored in chemical bonds, such as those between molecules
Energy Store - Nuclear
the energy stored in atomic nuclei when they release energy from their nuclear store during nuclear reactions
Energy Store - Thermal
the total kinetic and potential energy of the particles in an object, in most cases this is the vibrations - also known as the KE - of particles. in hotter objects, the particles have more thermal energy and vibrate faster
Energy transfer pathways
Mechanically
Electrically
By heating
By radiation
energy transfer - mechanical
When a force acts on an object (e.g. pulling, pushing, stretching, squashing)
energy transfer - electrical
A charge moving through a potential difference e.g charge flowing through an object
energy transfer - heating by particles
energy transfers from a hotter object to a cooler one e.g a fire burning an object
energy transfer - heating by radiation
Energy transferred by electromagnetic waves (e.g. visible light)
How do energy flow diagrams work?
Different labels represent the energy store at that point.
The arrows represent the energy transfer from one type of store to another.
How do Sankey diagrams work?
Arrows represent the types of energy transferred.
The ones that are straight are useful energy.
The ones that curve to the bottom are wasted energy.
The thickness of all the arrows correspond to a numerical value of the energy type in question.
The thickness of each arrow should be in proportion to each other.
system
an object or a group of objects
What happens when a system is in equilibrium?
Nothing changes, so overall nothing happens
3 states of a thermodynamic system
Closed
Open
Isolated
Open thermodynamic system
allows the exchange of energy and matter to or from its surroundings
Closed thermodynamic system
can exchange energy but not matter to or from its surroundings
Isolated thermodynamic system
does not allow the transfer of matter or energy to or from its surroundings
principle of energy conservation
energy cannot be created or destroyed, it can only be transferred from one store to another
useful energy transfers when a bat hits a ball
transfer from kinetic store of bat to kinetic store of ball
wasted energy transfers when a bat hits a ball
kinetic store of bat to:
thermal store of bat
thermal store of ball
thermal store of surroundings
useful energy transfers when boiling water in a kettle
energy transferred from the mains supply to the thermal store of the heating element in the kettle as as that gets hotter, energy is transferred to the thermal store of the water
wasted energy transfers when boiling water in a kettle
Some of the energy is transferred to the thermal store of the plastic kettle
And some energy is dissipated to the thermal store of the surroundings due to the air around the kettle being heated
How is energy transferred by heating in terms of particles
increase the energy in the kinetic store of the particles that make up that system, which increases the energy in the thermal store of the object
When is energy transferred by force
When mechanical work is done - when a force acts over a distance
How is energy transferred when a current flows?
Current is the flow of charge.
A current flows when there is a potential difference, supplied by a cell or power supply.
The power supply transfers energy electrically to components (electrical work is done).
Energy from the cell’s chemical store is transferred to the lamp’s thermal store, heating the filament.
The lamp transfers energy to the surroundings by heating and radiation (light).
Some energy is also transferred by heating to the wires due to resistance.
How is work done?
When an object is moved over a distance by a force acting in the direction of its displacement
work done equation
W = F x d
W = work done in joules
F = force in newtons
d = distance in metres
How do changes in height affect the GPE of an object?
If the object is lifted up then energy is transferred to its GP store
If the object falls then energy is transferred away from its GP store
gravitational potential energy equation
ΔGPE = mgΔh
ΔGPE = change in gravitational potential energy, in joules (J)
m = mass, in kilograms (kg)
g = gravitational field strength in newtons per kilogram (N/kg)
Δh = change in vertical height in metres (m)
kinetic energy equation
KE = ½ mv²
KE = kinetic energy in joules (J)
m = mass of the object in kilograms (kg)
v = speed of the object in metres per second (m/s)
What is a perfect energy transfer and when can it assumed to be so?
a transfer such that there is no wasted energy
it can be assumed to be perfect if the wasted energy transfer is able to be excluded
What is an example of a ‘perfect energy transfer‘
a pendulum constantly switching between KE and GPE
What is wasted energy
Energy that cannot be ‘gathered’ for any specific use
ways energy is dissipated
Heat loss to the surroundings
Work done against air resistance
Work done against friction
How does friction act as a means of wasted energy transfers?
Heats up working parts, causing energy to transfer from the kinetic store to the thermal store of the surroundings
How can energy transfer waste by friction be reduced?
Lubrication of the parts that rub together
ways to reduce energy loss
lubrication
Insulation
how does lubrication reduce energy loss
Reduces the amount of friction between working parts
how does insulation reduce energy loss
Reduces energy transfer via conduction by reducing the passing of vibration of particles which is how energy is conducted
three factors of quality of insulation
thermal conductivity
density
thickness
How does thermal conductivity affect the insulation of a material?
The lower it is, the less energy is transferred
Lower the better
How does density affect the insulation of a material?
The more dense an insulator the more conduction can occur as the particles would be closer together allowing for energy transfer between them to be more easier
Lower the better
How does thickness affect the insulation of a material?
Increasing the thickness of an insulation material improves its thermal resistance
thicker the better
How are house lofts often insulated
Glass fibre as there is air trapped between woven fibres which reduces density
Glass can’t conduct heat that well as well, thus it is suitable for insulation
How are gaps between external walls insulated?
Cavity wall insulation
This is often done by drilling a hole through the external wall to reach the cavity and filling it with a special type of foam which is made from blown mineral fibre filled with gas
This lowers the conduction of heat through the walls from the inside to the outside
power
the rate of energy transfer or the rate of work done
power equation
P = E/t
P = power, measured in watts (W)
E = energy transferred or work done, measured in joules (J)
t = time, measured in seconds (s)
1 watt is equal to…
1 joule per second
1 J/s
efficiency
The ratio of the useful energy output from a system to its total energy output
efficiency equation
useful energy output / total energy input
(can be power instead of energy)
force
a push/pull that acts on an object due to the interaction with another object
3 impacts of forces on another objects
They can change their speed
They can change their direction
They can change their shape
weight force
a gravitational force experienced by any mass in a gravitational field
electrostatic force
the force experienced by any charged object in an electric field
thrust
the force causing an object to move such as the force from a rocket engine
air resistance/drag
an object moving through the air experiences air resistance due to collisions between the object and the air particles
upthrust
the force of a fluid (such as water) pushing an object upwards (making it float)
compression
forces that act inward on an object squeezing it
magnetic force
a force experienced between magnetic poles that can be attractive/repulsive
friction
a force that opposes motion
Occurs when objects rub against eachother
tension
an object that is being stretched experiences a tension force
reaction force/normal force
an object at rest on a surface experiences reaction force. this is at right angle to the surface hence the ‘normal’ reaction. anytime 2 objects are in contact there is a reaction force
contact force
a force which acts between objects that are physically touching
examples of contact forces
friction
air resistance
tension
reaction/normal force
non contact force
a force which acts at a distance without any contact between bodies due to the action of a field
examples of non contact forces
gravitational
electrostatic
magnetic
scalars
quantities with only a magnitude
examples of scalar quantities
distance, speed, mass, energy, volume, density, temperature, power
vectors
quantities with both magnitudes and directions
examples of vector quantities
displacement, velocity, weight, force, acceleration, momentum
Newton’s Third Law
if object A exerts a force on object B, object B will exert an equal and opposite force on object A. (Every action has an equal and opposite reaction)
How to draw scale diagrams
Step 1: Link the vectors head-to-tail if they aren’t already
Step 2: Draw the resultant vector using the triangle or parallelogram method
Step 3: Measure the length of the resultant vector using a ruler
Step 4: Measure the angle of the resultant vector (from North if it is a bearing) using a protractor
When is an object in equilibrium?
When there is no resultant force acting on it
What happens to an object as a result of it being in equilibrium?
Remains at rest or at constant velocity (Newton’s first law)
How to draw free body diagrams?
Each force is represented as a vector arrow, where each arrow:
Is scaled to the magnitude of the force it represents
Points in the direction that the force acts
Is labelled with the name of the force it represents
What is the resultant force of an object with balanced forces acting on it?
0N
moment
the turning effect of a force about a pivot