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What are the SI base units?
Metre, kilogram, ampere, mole, second, kelvin
Scalar quantity
Has magnitude but no direction
Vector quantity
Has both magnitude and direction
Acceleration
rate of change of velocity
Define the Newton
the force that causes a mass of 1kg to have an acceleration of 1ms^-2 in the direction of the force
Tension
The force within a stretched cable or rope
Normal contact force
The force that arises when one object rests against another
Upthrust
An upward buoyancy force acting on an object when it is in a fluid
Friction
A force that opposes motion between two surfaces that are in contact
Drag
The frictional force experienced by an object travelling through a fluid
moment
Force x perpendicular distance from point of rotation
Principle of moments
For a body in rotational equilibrium, the sum of the anticlockwise moments about a point is equal to the sum of the clockwise moments about the same point
Centre of gravity
The point where the entire weight of an object appears to act.
Centre of mass
A point through which any externally applied force produces straight-line motion but no rotation
Torque
one of the forces x perpendicular separation between the forces
Density
Mass per unit volume
Pressure
Force per unit area.
Pressure in a fluid at any depth...
same in all directions
Archimede's Principle
The upthrust exerted n a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces
Joule
1 Nm
Energy
the capacity to do work
Principle of conservation of energy
The total energy of a closed system remains constant; energy can not be created or destroyed, only transferred from one form to another
Power
the rate at which work is done
Watt
One joule per second
Hooke's Law
The extension of a spring is directly proportional to the force applied, as long as the elastic limit is not exceeded
Tensile stress
Force per unit cross-sectional area
Tensile strain
The fractional change in the original length of the wire
Ultimate tensile strength
The maximum stress that a material can withstand before it breaks
Young Modulus
The ratio of stress to strain for a particular material
Newton's First Law
An object will remain at rest or continue to move at a constant velocity, unless acted upon by a resultant force
Newton's Third Law
When two objects interact they exert equal and opposite forces on each other (of the same type, and never on same object)
Conservation of momentum
For a system of interacting objects, the total momentum in a specified direction remains constant, as long as no external forces act on the system
Perfectly elastic collision
A collision where total kinetic energy is conserved
Inelastic collision
Collision where total kinetic energy is not conserved
Newton's Second Law
The net force acting on an object is directly proportional to the rate of change of its momentum, and is in the same direction
Impulse of a force
change in momentum
Thermal equilibrium
Net flow of thermal energy between objects is zero
Kinetic model of solids
Atoms or molecules regularly arranged and packed closely together, with strong forces of electrostatic attraction between them holding the m in fixed positions, but they can vibrate so have kinetic energy
Kinetic model of liquids
Atoms or molecules still close together, but have more kinetic energy than solids, they can change position and flow past each other
Kinetic model of gases
Atoms or molecules have more kinetic energy than liquids, and are much further apart. Free to move past each other as negligible electrostatic forces of attraction between them unless they collide with each other or container walls. Move randomly with different speeds in different directions.
Brownian motion observations
Particles move randomly, smoke particles much larger than air molecules
Inernal Energy of a Substance
The sum of the randomly distributed kinetic and potential energies of atoms or molecules within a substance
Electrostatic potential energy...
Zero in gases, more negative in liquids, most negative in solids
Why are electrostatic potential energies negative?
Energy must be supplied to break atomic or molecular bonds
At absolute zero....
Internal energy is minimum
Specific heat capacity
The energy per unit mass required to change the temperature by 1K
Specific latent heat
Energy supplied to change the phase of a mass of a substance
Specific latent heat of fusion
the energy needed to change a unit mass from the solid to the liquid phase at constant temperature
Specific latent heat of vaporisation
the energy needed to change a unit mass from the liquid to the gas phase at constant temperature
One mole
The amount of substance that contains as many elementary entities as there are atoms in 12g of Carbon-12
Kinetic theory of gases assumptions
Very large number of atoms or molecules moving in random directions with random speeds, occupy a negligible volume compared with the volume of the gas, collins with each other and the container walls are perfectly elastic, time of collisions between atoms with each other or container walls is negligible compared to the time between the collisions, electrostatic forces negligible except during collisions
Boyle's Law
If the temperature and mass of a gas is constant, its pressure is inversely proportional to its volume
Relationship between pressure and temperature of an ideal gas
If the volume and mass of a gas is constant, its pressure is directly proportional to its temperature
Internal energy of an ideal gas
Entirely in the form of kinetic energy and electrostatic forces between atoms or molecules are negligible
The radian
The angle subtended by a circular arc with length equal to the radius of the circle
Degrees to radians conversion
Divide angle in degrees by π/180
Angular velocity
rate of change of angular displacement
For body to move in a circular path with a constant velocity
Resultant force must be perpendicular to the velocity so no force in direction of motion; no work done on object
OM; displacement
Distance from the equilibrium position
OM; amplitude
Maximum displacement from the equilibrium position
Om; period
The time taken for one complete oscillation
OM; frequency
The number of oscillations per unit time
Simple harmonic motion
Oscillating motion where acceleration is directly proportional to displacement and directed towards a fixed point
Isochronous oscillator
An oscillator that has the same period regardless of amplitude
Free oscillation
When a mechanical system is displaced from its equilibrium position and allowed to oscillate without any external forces
Forced oscillation
An oscillation in which a periodic driver force is applied to an oscillator
Frequency of free oscillation
Natural frequency
Frequency of forced oscillation
Driving frequency
Resonance
When the driving frequency is equal to the natural frequency, amplitude of oscillation increases significantly and if not damped system may break
Gravitational field strength
Force exerted per unit mass
Newton's Law of Gravitation
The force between two point masses is directly proportional to the product of the two masses and inversely proportional to the square of the separation
Kepler's First Law
The orbit of a planet is an ellipse, with the sun at of of the two foci
Kepler's Second Law
A line segment joining a planet and the sun sweeps out equal areas in equal intervals of time
Kepler's Third Law
The square of the orbital period of a planet is directly proportional to the cube of its average distance from the sun
Uses of satellites
Communications, GPS, weather monitoring
Geostationary satellites
Equatorial orbit, rotate in sae direction as earth's rotation, have an orbital period of 24 hours
Gravitational potential
Work done per unit mass in bringing an object from infinity to a point
Escape velocity
the minimum velocity needed to escape a gravitational field
Planet
An object in orbit around a star that has a mass large enough for its own gravity to give it a round shape, has no fusion reactions, and has cleared its orbit of most other objects
Planetary satellites
A body in orbit around a planet
Comet
Small, irregular bodies made up of ice and dust and small pieces of rock, in orbit around the sun
Solar system
The sun and all the objects that orbit it
Galaxy
A collection of stars, and interstellar dust and gas
Electron degeneracy pressure
When core of a star begins to collapse under the fore of gravity, electrons are squeezed together which creates pressure that prevents core from further gravitational collapse
Chandrasekhar limit
electron degeneracy pressure is only sufficient to prevent gravitational collapse if the core has a mass less than 1.44 solar masses
Neutron star
Very small, very dense star that remains after a supernova
Black hole
Very dense, gravitational field so strong light cannot escape it
Emission line spectra
Each element produces a unique emission line spectrum because of its unique set of energy levels
Continuous spectra
All visible frequencies or wavelengths are present.
Absorption line spectra
dark spectral lines against a continuous spectrum
Wien's displacement law
Maximum wavelength is inversely proportional to temperature
Stefan's law
The total power radiated per unit surface area of a black body is directly proportional to the fourth power of the absolute temperature of the black body
Astronomical unit
The average distance from the earth to the sun
Light year
The distance travelled by light tin a vacuum in the time of one year
Parsec
The distance at which a radius of 1 AU subtends an angle of 1 arc second
Stellar parallax
The apparent shift in the position of a nearby star against a backdrop of much more distant stars as the earth orbits the sun
The doppler effect
Whenever a wave source moves relative to an observer, the frequency and wavelength of the waves received by the observer change, compared to what would be observed without relative motion
Hubble's Law
The recessional speed of a galaxy is almost directly proportional to its distance from the earth
Hubble's observations
Light from the majority of galaxies is red shifted, so relative velocity away from earth and the further away the galaxy the greater the red shift, so the faster the galaxy was moving
Cosmological principle
When viewed on a large enough scale, the universe is homogenous and isotropic, and the laws of physics are universal