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Newton's First Law of Motion
an object at rest or in motion will stay at rest or in motion unless acted upon by an external unbalanced net force
Transitional Equilibrium
When the net force on an object is zero in all directions (i.e no linear acceleration)
Newton's Second Law of Motion
The net (or resultant) force acting on a body is equal to the product of its mass and its acceleration.
F=ma
Linear Momentum
The product of mass and velocity. A vector
units: kgms⁻¹
Impulse (2)
The change in momentum. A vector
unit: kgms⁻²
also product of Force and time
unit: Ns
Law of Conservation of Linear Momentum
The momentum of an isolated system remains constant. (i.e no external force acting)
Newton's Third Law of Motion
For every action on one object there is an equal but opposite reaction
Work
when a force moves an object in the direction of the force
unit: Joules (J)
Power
The rate of doing work (rate at which work is being performed
unit: Watt or Joule/second (W or Js⁻¹)
Kinetic Energy
energy an object has as a result of its motion
unit: Joules (J)
Gravitational Potential Energy
energy that is stored in an object by its height
unit: Joules (J)
Principle of Conservation of Energy
Energy is never created nor destroyed. It changes from one form to another.
Elastic Collision
KE and momentum conserved - no mechanical energy lost
ex: pool balls, ideal gas particles
Inelastic Collision
KE is not conserved, but momentum is.
Concept of Efficiency
the ratio of the useful energy to the total energy transferred
unit: none (%)
Centripetal motion (concepts)
direction is always changing therefore, so is acceleration and velocity
Centripetal Acceleration
The acceleration, directed toward the centre of a circle, which causes uniform circular motion
Centripetal Force
The force, directed toward the centre of a circle, which causes uniform circular acceleration.
Temperature
the average KE of the particle of a substance, which determines the direction of thermal energy transfer
unit: Kelvin (K)
Absolute Zero
The lowest temperature possible. -273˚C or 0K
Thermal Energy (+equations)
The non-mechanical transfer of energy between a system and its surroundings (naturally flows from hot to cold)
equations:
Q = mL
Q = mc(Tf-Ti)
unit: Joules (J)
Internal Energy
The energy contained in an object due to the random KE and PE of the molecules
unit: Joules (J)
Thermal Equilibrium
the state in which all parts of a system have reached the same temperature
Mole
The amount of a substance that contains the same number of particles as there are atoms in 12g of Carbon-12
units: mol
Avogadro constant
The number of particles in a mole. A=6.02x10^23
Molar Mass
The mass of 1mole of a substance
units: g/mol
Thermal Capacity
The amount of thermal energy (heat) required to raise the temperature of an object by 1K
equation: C= Q / (Tf - Ti)
unit: JK⁻¹
Specific Heat Capacity
The amount of thermal energy required to raise the temperature of 1Kg or a substance by 1K
equation: c = Q / m(Tf-Ti)
unit: Jkg⁻¹K⁻¹
Difference between Thermal and Specific Heat Capacity
specific heat is per unit mass, so thermal is the same as specific heat, multiplied by mass
Melting
Solid-liquid
Fusion
Liquid-solid
Vaporization
Liquid-gas
Difference between boiling and evaporating
boiling takes place throughout the liquid and always at the same temperature, evaporation takes place only at the surface of the liquid and can happen at all temperatures
Condensation
Gas-liquid
Sublimation
Solid-gas
Why does temp. not change during phase change?
Because the energy is being used to break or make bonds and so the energy is not turned into kinetic energy.
Specific Latent Heat (+formula)
the amount of energy required to change the state of 1kg of a substance
formula:
Q = mLf
Q = mLv
unit: Jkg⁻¹
Pressure
The force exerted per unit area
unit: Pascals (Pa)
Pressure and Temperature relationship
as Temperature increases, Pressure increases
directly proportional so P/T = constant
Pressure and Volume relationship
as Volume decreases, Pressure increase (as particles hit the container wall more frequently)
inversely proportional so P x V = constant
Volume and Temperature Relationship
as Volume increases, Temperature increases
directly proportional so V/T = constant
Combined Gas Laws (not Molecular)
P1V1T2 = P2V2T1 (# of molecules kept constant)
or (P1V1)/T1 = (P2V2)/T2
Molecular Gas Law
PV = kNT (N = number of molecules, T temp in K)
Ideal Gas
a gas that obeys all gas laws at any pressure, volume or temperature
formula: PV = nRT (n=number of moles)
Ideal Gas Law
PV = nRT (n = number of moles, T in K)
Kinetic Molecular Theory (FPICS)
F) no Forces act between the particles (stay in continous random motion) - Internal Energy = KE (no PE)
P) there is not loss in KE between particles and the container so all collisions are Perfectly elastic
I) all particles are Identical
C) all particles remain in Continuous random motion
S) there are many particles and they are extremely Small compared to the distance between each other
Simple harmonic motion (SHM) factors and equation
1) force or acceleration is always directed towards the centre
2) the force or acceleration is proportional to the distance from the centre
defining equation: a = -w²x
Displacement (Topic 4)
Distance from the equillibrium
unit: m
Amplitude
The maximum value for displacement from the mid point.
unit: m
Wavelength
the length of a full wave (the distance between two consecutive crests or any two consecutive points that are in phase); the distance traveled in one period
unit: m
Frequency
The number of oscillations per second
unit: hertz (Hz)
formula: 1 Hz = 1 oscillation per second.
Wave speed
the speed at which energy is transferred by the wave
unit: meters / second
Wave Intensity
the rate of energy transfer per unit area (for a wave, intensity is proportional to the square of the amplitude)
unit: Wm⁻²
Period (+formula)
The time taken for one oscillation
unit: seconds.
equation: T=1/frequency
Phase Difference
A way of comparing two oscillations by finding the difference between their phases.
Damping (Light & Critical)
Damping is a force that is always in the opposite direction to the direction of motion of the oscillating particle, the force is a dissipate force (it will eventually stop).
Light: gradual loss of total energy (ex: air resistance, water)
Critical: resistive forces so big that system returns to equilibrium without passing it (ex: in honey)
Natural Frequency of Vibration
The frequency that an object will oscillate at if it is moved from its equilibrium point and released.
Forced Oscillation
when an object is made to oscillate at another frequency than the natural frequency, by an external force
Resonance
when an oscillating system vibrates at the natural frequency (resonant frequency) of another system, causing it to vibrate and be amplified
Superposition
When two waves pass the same point at the same time, their displacements are added together to calculate the resultant displacement.
Transverse vs. Longitudinal Waves (Motion of Particles)
Transverse - particles of wave travel perpendicular to the direction of energy, Longitudinal - travel in parallel direction
Crest & Trough
Highest and lowest points of a transverse wave
Mechanical vs. Electromagnetic Waves (Medium required to travel?)
Mechanical waves need a medium to travel as they cannot travel through a vacuum and Electromagnetic waves can
Traveling vs. Standing Waves
Traveling waves carry energy as they move and have a constant amplitude, Standing waves neither move nor carry energy and have changing amplitudes
How are standing waves produced?
produced whenever two waves of identical frequency interfere with one another while traveling in opposite directions along the same medium.
Compression & Rarefaction
Highest and lowest pressure points (points bunched up vs. spread apart)
Anti-nodes
points at which crest meets crest (trough & trough)
Nodes
points at which there is no displacement (crest & trough)
Reflection (+formula)
when a wave hits a barrier and bounces off
formula: angle of incidence = angle of reflection
Refraction (+formula)
the bending of waves due to changing velocity, as a wave is travelling through different mediums
formula: index of refraction = c/v (velocity of light in a vacuum / velocity of light in that medium)
Angle of deviation
the difference between the angle of refraction and angle of incidence
Diffraction
takes place when a wave moves through a smaller opening (causes diffraction)
Constructive interference
in phase
Destructive interference
out of phase
Electric Potential Difference (+ formula)
The work done per unit charge moving a positive charge between two points in a circuit.
formula e.p.d = Work Done / Electric Charge
unit: Volts
Electron-Volt
The energy an electron gains by passing through a potential difference of 1 Volt, 1 eV = 1.6 x 10^-19 J
unit: Joules (J)
Electric Current
a flow of charge within a conductor
unit: Amperes
Ammeter (3)
the device that measures current
1) placed in series
2) very low resistance
3) in Amperes
Ampere (defined in terms of)
the force between two long current carrying wires
Resistance (+ relative to wire thickness & length)
the the ratio between the p.d. across the material to the current that flows through it
unit: Ohms
decreases when wire thicker
increases when wire longer
Voltmeter
the device that measures voltage
1) placed in parallel
2) very high resistance
3) in Volts
Work (Topic 5)
the amount of power supplied in a given time
units: kWh⁻¹
Ohm's Law
The potential difference is directly proportional to the current (provided that resistance stays constant)
Ohmic vs. non-ohmic behaviour
Non-ohmic does not behave Ohm's law as temperature increases, thus there is a loss in heat and resistance is not constant (ex: filament lamp)
Electromotive Force (EMF)
the work available (from an electrical source) per unit of charge
unit: Volts (V)
Difference between emf and (terminal) potential difference
emf is the energy available per unit charge, p.d. is the difference in energy dissipate per unit of charge
Internal Resistance
The resistance of the battery
Electrical Powers (3)
1) total power supplied by the cell : EI
2) the power dissipated in the cell : EI - VI = I^2 r
3) the power dissipate in the external circuit: VI
The 3 types of Sensors
1) LDR (Light Dependent Resistor)
Light increases, Current increases, Resistance decreases
2) Thermistors (NTC - Negative Temperature Coefficient)
Temperature increases, Current increases, Resistance decreases
3) Strain Gauge (length increases when under strain)
Length increases, cross-sectional Area decreases, Resistance increases
Potential Divider - 3 part definition
1) divides potential difference
2) acts like multiple resistors in series
3) to control voltages
Newton's Universal Law of Gravitation
The force of gravity between two objects is directly proportional to the product of the two masses and inversely proportional to the square of the distance between them and acts along a line joining their centers. (Note: The objects are point masses. If they are not point masses but are very far apart, that is, the distance between them is very much greater than their radii, they can be treated like point masses)
(F=G m₁m₂/r²)
Gravitational Field Strength
Gravitational force per unit mass on a point mass (g=F(g)/m)
Gravitational Potential Energy
The work done in moving a mass from infinity to a point in space (Note: The work done is path independent).
Weightlessness in free-fall
A sensation of weightlessness because a person is falling freely toward the Earth, hence there is no normal force (reaction force) acting on the person due to gravity.
Weightlessness in orbital motion
A sensation of weightlessness due to the spacecraft and all objects in it being in constant free-fall together as they circle Earth.
Law of Conservation of Change
The total electric charge of an isolated system remains constant.
Conductor
Material through which electric charge flows freely.
Insulator
Material through which electric charge does not flow freely.
Coulomb's Law
The electric force between two point charges is directly proportional to the product of the two charges and inversely proportional to square of the distance between them, and directed along the line joining the two charges (F = kq₁q₂ / r²).
Electric Field Strength (E)
Electric force per unit charge experienced by a small positive test charge
(E=F/q)