Module 5: Newtonian world and astrophysics Flashcards
Absolute or thermodynamic scale of temperature
Is independent of the properties of any specific substance. Measured in kelvin, K.
Absolute zero (0K)
Is the temperature at which a substance has minimum internal energy; this is the lowest limit for temperature.
Thermal equilibrium
Objects in contact at the same temperature are in thermal equilibrium; this means that there is no net heat flow between them.
The kinetic model of matter
All matter is made up of very small particles (atoms, molecules or ions) which are in constant motion. The model allows us to explain the properties of matter and changes of phase in terms of the arrangement of the particles, the motion of the particles and the attractive forces between them.
Internal energy
The sum of the randomly distributed kinetic and potential energies of all the atoms or molecules within a system.
Brownian motion
The random movement of small visible particles suspended in a fluid (e.g. smoke particles in air) due to collisions with much smaller, randomly moving atoms or molecules in the fluid.
Specific heat capacity, c
The amount of energy needed to raise the temperature of 1kg of the substance by 1K. The units are J kg^-1 K^-1.
Specific latent heat of fusion, L_f
The amount of energy required to change the phase of 1kg of a substance from a solid to a liquid.
Specific latent heat of vaporisation, L_v
The amount of energy required to change the phase of 1kg of a substance from a liquid to a gas.
Mole
One mole of any substance is the amount of substance that contains as many particles as exactly 12.0g of carbon-12. One mole of a substance will contain 6.02x10^23 particles. This number is known as the Avogadro constant and has the symbol N_A. N_A = 6.02x10^23 mol^-1.
Avogadro constant
The number of particles in one mole of a substance. This constant has the symbol N_A. N_A = 6.02x10^23 mol^-1.
An ideal gas
A gas that has internal energy only in the form of random kinetic energy.
Mean squared speed, c^2
The mean value of the square of velocity c for a large number of gas particles (atoms or molecules) moving randomly in a gas. The bar indicates an average.
Root mean square (r.m.s.) speed
The square root of the mean square speed.
Boyle’s law
The volume of a fixed mass of gas is inversely proportional to the pressure exerted on the gas, under conditions of constant temperature.
pV= constant under conditions of constant temperature.
If we have a gas at p1 and a volume V1 and we change the conditions so that it has a new pressure p2 and a new volume V2, then we can say that p1V1=p2V2.
The equation of state of an ideal gas (the ideal gas equation)
Links the pressure of a gas (p) with the volume (V), molar gas constant (R), number of moles of gas (n) and temperature (T): pV=nRT
Boltzmann constant, k
A constant used when relating the temperature of the gas to the mean translational kinetic energy of the particles in the gas. It can also be thought of as the gas constant for a single molecule, k= 1.38x10^-23 JK^-1.
One radian
The angle subtended at the centre of a circle when the arc is equal in length to the radius of the circle.
Time period, T
The time taken in seconds for one complete circular path.
Angular velocity, ω
The rate of angular rotation, measured in radians per second, rad s^-1.
Centripetal acceleration
The acceleration of an object moving with uniform circular motion. The size of the acceleration is given by a=v^2/r where v is the speed of the object and r is the radius of the circle, or a=ω^2r where ω is the angular velocity. The centripetal acceleration is directed radially inwards towards the centre of the circle, perpendicular to the velocity vector at any instant.
Centripetal force
The resultant force on an object, acting towards the centre of the circle, causing it to move in a circular path.
The equation for the centripetal force F is F=mv^2/r ; F=mω^2r.
Displacement, x
Distance moved by an object from its equilibrium (or rest) position; may be positive or negative.
Amplitude, x_0
The maximum displacement (will always be positive).
Frequency, f
The number of oscillations per unit time at any point.
Period, T
Time taken for one complete pattern of oscillation at any point.
Angular frequency, ω
The product 2πf or alternatively ω= 2π/T (unit of rads^-1).
Phase difference,ϕ
The fraction of a complete cycle or oscillation between two oscillating points, expressed in degrees or radians.
Simple harmonic motion
A body will oscillate with simple harmonic motion if it’s acceleration is directly proportional to its displacement from a fixed point and always directed towards that fixed point.
Isochronus
The period of an object with SHM is isochronus; this means that it is constant and independent of the amplitude of the oscillation.
Damping
Damping forces reduce the amplitude of an oscillation with time, due to energy being removed from the oscillating system.
Free oscillations
Occur when there is no external, periodic force. The system oscillates at its natural frequency.