Speed & Velocity, Scalars & Vectors Flashcards
What is speed (scalar or vector)?
Speed is scalar
- It only has magnitude.
Average speed is the distance travelled divided by the time interval.
What is velocity (scalar or vector)?
Velocity is vector
- It has magnitude and direction.
Average velocity is the displacement of an object divided by the time interval.
What is a force?
- Force is a push or pull upon an object resulting from the object’s interaction with another object.
- Whenever there is an interaction between two objects, there is a force upon each of the objects.
- When the interaction ceases, the two objects no longer experience the force. Forces only exist as a result of an interaction.
- Newton’s First Law of Motion states that objects with balanced forces acting on them will stay at rest or stay in constant motion.
- Newton discovered that objects will continue to do what they are doing until an unbalanced force acts on the object
Newton’s Second Law equation
F=ma
Where m is the mass and a is the acceleration. In SI base units:
mass is expressed in units of kilogram (kg)
acceleration is expressed in derived units of m/s2
force is expressed in newtons (N)
Weight & Mass
- Weight is not the same as mass.
- Mass is a measure of how much matter is in an object.
- Weight is a force acting on that matter.
- Mass resists any change in the motion of objects.
In science, the term weight has a specific meaning - which is the force that acts on a mass due to gravity.
* Weight is measured in newtons.
* Mass is measured in kilograms.
The mass of a given object is the same everywhere, but its weight can change. We use balances to measure weights and masses.
- Work is done whenever a force moves something.
- Everyday examples of work include walking up stairs, lifting heavy objects, pulling a sledge and pushing a shopping trolley. Whenever work is done, energy is transferred from one place to another.
Work equation
work=force ×distance
eg work=10 N ×2 m=20 J
- Work has the same units as energy – joules.
- This is because energy is the ability to do work. So you must have energy to do work.
- You do not have to do work if you have energy – potential energy does not do work
- Work done is equal to energy transferred
Potential energy equation
PE=m ×g×h
m is the mass in kilograms, kg
g is the gravitational field strength in newtons per kilogram, N/kg
h is the change in height in metres, m
Kinetic energy
KE=1/2 mv^2
m is the mass in kilograms, kg
v is the speed in meters per second, m/s
- All moving objects have kinetic energy (KE)
- The KE of a body depends on its:
- mass
- speed
Conservation of Energy
- Energy can be stored or transferred, but it can not be created or destroyed.
- The total energy of an isolated system stays the same.
Energy & electron volts
An electron volt is a non-SI unit of energy
It is defined as the amount of kinetic energy gained (or lost) by a single electron accelerating from rest through an electric potential difference of one volt in a vacuum
There are other equivalent definitions based on the amount of work (energy transfer) required to move one electron through a potential difference of 1 volt.
1 eV=1.6 ×10^-19 Joules
How much kinetic energy would the electron gain by time it reached the anode?
- Potential difference of 1 volt
- Electron has electro potential energy and produce kinetic energy as it accelerated towards anode.
- It has gained 1 electro volt of energy.
Atomic Structure
- Nucleus & Shells
- An atom has a central nucleus.
- This is surrounded by electrons arranged in shells
- Nucleus & Shells
- Protons and Neutrons have about the same mass of 1.67 x 10-24 grams
- Protons are positively charged
- Neutrons have no charge
- Electrons have a mass of 9.11x 10-28 or about 1/1800 of the mass of a proton or neutron
- Electrons each have a negative charge equal to the positive charge of the proton.
Proton neutron and electron: Charge, Mass and Location
Proton
Charge: +1
Mass: 1
Location: nucleus
Neutron
Charge: 0
Mass: 1
Location: nucleus
Electron Charge: -1
Mass: 0
Location: orbitals
- Volume of Atoms
- Most of the volume of an atom—greater than 99%—is in fact, empty space!
- The electrons that surround all atoms are negatively charged and cause atoms to repel one another stopping them from occupying the same space.
- Atomic Number (Z)
- The number of protons in an atom of an element is its atomic number.
- All atoms of a given element have the same number of protons
- Atoms of different elements have different number of protons.
- Atomic mass number (A)
- The mass number of an atom is its total number of protons and neutrons
- Atoms of different elements usually have different mass numbers.
Electron shells
Electrons occupy defined orbits around the nucleus in this simplified view.
* These orbits are sometimes called shells and are labelled K, L, M, N etc.
* These shells can be occupied only by certain numbers of electrons.
* The maximum number of electrons able to occupy the K-shell is 2, for the L-shell its 8, for the M-shell its 18, for the N-shell its 32 and for the O-shell its 50.
* If an electron is removed from a shell a positive ion results.
- Electron Binding
- Electrons are bound to the atom by what is referred to as binding energy.
- This energy is weaker the further the electron is from the nucleus
- This can be shown using an energy level diagram as illustrated here for tungsten (W)
Atomic basic
Electrons can move one shell to another
* An electron can move from a lower shell to a higher shell if enough energy is absorbed by the atom.
* An electron can move from a higher shell to a lower shell to get rid of excess energy.
* The transitions follow complicated rules and some transitions are simply forbidden.
Bound electrons are regarded as having negative energy
* To free and an electron from an atom the energy must be raised to zero or to a positive value
* The energy required to release an electron is termed the “binding energy”
binding energy
- The energy required to release an electron
Band Theory of Solids
- When electrons are brought together, as in a solid made up of many atoms, the orbitals of the electrons are strongly influenced by the proximity of neighbouring atoms
- This results in the electrons not occupying discrete energy levels but instead occupy energies that are within a band of energies
Valence band
Represents electrons within the material that is bound to their parent atoms no conduction in the conduction band.
What is charge?
- Electric charge is a basic property of matter carried by some elementary particles
- Electric charge can be positive (+) or negative (-)
- The unit of charge is the Coulomb
- This is a derived SI unit having base units of Ampere (A) Seconds (s): A.s
- A physical consequence of the amount of charge is that:
- Two objects with an excess of one type of charge exert a repulsive force on each other
- Two objects with an excess of opposite type of charge exert an attractive force on each other
- This force is called Coulomb Force
Coulomb force equation
F= kq1q2/R2
k is a constant ( 9 x 10’9 N.m2C’-2)
q1 & q2 are the signed magnitudes of the charges in coulombs (C).
r is the distance between the charges in meters the speed in meters per second, m/s