Physics Unit 2

Resultant Force

Stationary objects can accelerate , deccelerate or change direction when a reaultant force acts on it.


Without any resultant force, the object is either stationary or moving at constant velocity.


A resultant force is when all the forces acting on the object are added and it is the single force that has the effect as what all the force would do to the object


a=F/m is the equation that shows how acceleration is affected by the Force and mass.


It can also be written as F=ma


F-Force is measured in Newtons (N)


m-Mass is measured in kilograms (kg)


a-Acceleration is measured in metres per second squared (m/s^2)


Speed is different from velocity


Speed is how far an object travels in a given time


Velocity is the speed in a particular direction


Distance time graphs


Slope=constant speed


Flat= stationary


Slope downwards= constant speed back


Curves =Acceleration


Speed= distance/ time


(m/s )        (metres)      (Seconds)


v=s/t


Velocity uses the same equation but distance can be negative and different yet travelling the same speed


Velocity time graphs


Slopes = constant acceleration


Flat line = constant speed


Downward slopes = constant deceleration


Curves = changing acceleration

Area of  under the line of a velocity time graph represents the distance traveled.


a=(v-u)


     ____


        t


a acceleration (m/s^2)


v-u difference in speed (m/s)


t time (s)


Forces and breaking

Thinking distance and braking distance affects the stopping distance of a car.

When a car travels are constant speed. the resultant force is zero as the force from the engine is balanced by the air resistance and friction,

When a car is traveling at constance speed, every force is balanced by an equal and opposite force.

Force of engine balanced by air resistance + friction

Weight balanced by reaction force of the road.

When a car is speeding up resultant force is not zero.

Force of engine is greater than the resistive forces therefore the car accelerates

When a car slows down the force from the engine is either reduced or the resistive forces has increased e.g. brakes.

Stopping distance = Thinking distance + braking distance

Thinking distance increases if the reaction time increases.

Factors that affect reaction time are:

Tiredness

Distractions

Influence of drugs.

Braking distance is the length a car goes before it halts when the brakes are applied.

It depends on the speed of the car

condition of tyres

road conditions.

Brakes causes a frictional force on the wheel. It reduces the kinetic energy of the vehicle and increases the temperature of the brakes.

Falling objects


Falling objects have different stages.

Object accelerate because of its weight when released, there is a resulting force which goes downwards.

The object keeps accelerating and gains speed but air resistance also increases

Eventually, the object's weight reaches a terminal velocity ( steady speed) cas the weight is balanced by the air resistance.

Lighter objects reaches terminal velocity faster than heavier objects as they have less weight.

On the moon there is no air so no air resistance, when different weight objects are dropped both drop at the same speed.

Velocity time graphs for falling objects

The slope shows initial acceleration

It curves off so it decelerates due to air resistance

It levels off and reaches a terminal velocity.

Weight and mass


W=m * g

W- weight is in Newtons N

m- mass is in kilograms kg

g- gravitational field strength measured in newtons per kilogram, N/kg

the g of the earth is around 10 N/kg

the moon has around 1.6 N/kg

Elasticity

Elastic objects store energy as elastic potential energy.

Work is done on the object to change its shape which stores elastic potential energy.

Hooke's Law

When an elastic object is stretched, the extension is directly proportional to the force applied to it.

F= k * e

F- Force in newtons ,N

k- Spring constant in newtons per metre,N/m

e is extension in metres ,m

In a graph of Force by Extension, the gradient is the spring constant.

There's a limit of portionality where when an object exceeds it, it will change the spring constant of the object permanently.

Kinetic Energy

Work Done

Work done and energy transferred are measured in Joules, J.

Is is when a force moves something.

W= F * d

Work done = Force * Distance

J - Joules        N -Newtons        m - metres

Power

How quickly work is being done

P = E / t

Power = work done / time

W -Watt   J  -Joules     s -Seconds

Gravitational Potential Energy

Force of gravity pulling on us.

Ep = m * g * h

Gravitational potential energy = mass * gravitational field strength * height

J- Joules         kg- Kilograms     N/kg-Newtons per kilogram      m- metres

Kinetic energy

Energy a moving object has

Ek = 0.5 * m * v^2

Kinetic energy = 0.5 * mass * speed^2

J- Joules     kg- Kilogram         m/s metres per second

Pendulum

Transfers gravitational potential to kinetic energy and back.

At highest point, no kinetic energy but maximum gravitational potential energy.

Gravitational potential energy transfers to kinetic energy as it swings down and it accelerates.

As it swings upwards kinetic energy is transferred to gravitational potential energy and decelerates

Energy is also transferred as heat to the surroundings so each swing is weaker.

Momentum

Momentum is the tendency of the object to keep moving in the same direction.

p = m * v

Momentum (kg m/s) = Mass (kg) * velocity (m/s)

Momentum also depend on the direction of travel.

it can change if the object change speed or change direction.

If there are no other external forces acting on the object, the total momentum stays the same in collisions and explosions.

Momentum is conserved

Always write momentum before = momentum after in a calculation.


Electricity


Static electricity


Same charges repel and unlike charges attract

When rubbing two insulating material together they get electrically charged.

Only works for insulators as in metals the charge is earthed too easily.

Electrons move from one material to the other when rubbed against each other

The material that lost electrons become positively charged

The one that gained electrons become negatively charged.

Charge are equal but opposite.

Charged objects will repel or attract

Same charge repel

Different charge attract.

A charged object may also attract uncharged objects.


Circuit



Circuit diagrams must always be complete without any short circuits for it to work.

Wire should lead from battery to the battery.

Short circuit, electricity takes the path of least resistance, if there is a path without any components there is a short circuit.

Current

In a series circuit current is the same

In a parallel circuit, current is shared

Current is measured in Amps (A)

Measured using an ammeter in series.

I= Q / t

Current = Charge /time

Amps (A)    Coulombs (C)   Seconds (s)

Voltage

Potential Difference is needed to make a current flow through it.

Measured in Volts (V)

Measured using a voltmeter must be connected in parallel with the component.

V= W / Q

Voltage = Work Done / Charge

Volt (V)     Joules (J)     Coulombs (C)

As Voltage increases the Current increases as well.

Voltage is shared in a series circuit in each component

Resistance

Resistance increases as length of wire increases or thickness of wire decreases.

Electrons move through a conductor for an electric current.

Moving electrons collide with ions in the metal causing resistance.

With a longer wire there are more collisions so resistance increases.

Thinner Wires has fewer electrons to carry current.

V= I * R

R = V / I

Voltage = Current / Resistance

Volts (V)    Amps (A)     Ohms (Ω)

Current flowing through a resistor at a constant temperature is directly proportional to the voltage.

Filament lamps produce light as the filament (think coil of wire) heats up. The resistance of the lamp increases.

LEDs


Diodes have a very high resistance on one side so current can only travel


the other way


LED produces light when a current travels through it, it is far more efficient than other light components it uses a much smaller current


thermistor is a variable resistor.


Its resistance decreases as its temperature increases.


LDRs are variable resistors that depends on the light intensity


The resistance increases as light intensity decreases.



Direct and Alternating current

If current flows in one direction it is called direct current (DC).

Batteries and cells supply DC usually around 1.5 V

Alternating current constantly changes direction.

Mains electricity is AC supplying 230V in the UK with a frequency of 50Hertz (Hz)

Cables

A mains electricity cable has 2 or 3 inner wires with cores of copper as copper is a good conductor of electricity.

The outer layer is made from plastic as it is a good insulator.

There is a colour code

Blue -Neutral

Brown -Live

Green and yellow stripes -Earth



The Plug

The plug is made from tough plastic which is a good insulator.

The 3 pins are made from brass which are stronger than copper and a good conductor of electricity

There is a fuse between the live fuse and terminal which breaks if there is too much current going through it.

The Cable grip grips the cable to stop it moving around.

bLue goes Left

bRown goes Right

sTriped Goes Top.


Fuses

Used to protect appliances.

The fuse breaks if there is too much current flowing through it. This protects the appliance if something goes wrong.

It has a wire that melts easily and it heats up and breaks if the current is too great.

The fuse rating is slightly higher than the device's current need

Standard ratings are 3A 5A and 13A.


Circuit Breakers

Circuit breakers detect a difference in current, they act like fuses but can be used more than once and  act a lot faster.

However, they are more expensive.

Earthing

The earth wire creates a safe route for current to flow if the live wire touches a metal casing.

The earth wire has a low resistance so it stops current from flowing through our body.

As the strong current goes to the earth wire, it breaks the fuse.

Double insulation

Plastic casings doesn't require a earth wire as it is an insulator

Oscilloscopes

Periods- Time taken for an AC supply for one complete oscillation. One peak to the next

Frequency

Number of oscillations per second.

Frequency = 1 / period

Power


P= E/ t

Power = Energy / time

Watt  (W)   Joules (J)   Seconds (s)

In a circuit,

P= I*V

Power (W) = Current (A) * Voltage (V)

E =V*Q

Energy (J) = Voltage (V) * Charge (C)

Atoms and radiation

An atom consist of a nucleus ,which have protons and neutrons, and electrons surrounding the nucleus.


Isotopes are atoms that have the same number of protons but different amount of neutrons.


Early model of the atom is the plum pudding model but was then disproved by Rutherford's nuclear model.


The nuclear model shows an atom having 3 subatomic particles.


It shows protons and neutrons at the centre in the nucleus which is very small. Electrons surround the nucleus in different energy levels.


Protons have +1 charge and 1 relative mass


Neutrons have 0 charge and 1 relative mass


Electrons have -1 charge and almost 0 mass.


The number of electrons in an atom is always the same as the number of protons.


Atoms are neutral but can gain or lose electrons.


They form ions which are charged particles


losing electrons makes it positive


gaining electrons makes it negative


The plum pudding model consists of a sphere of positively charged protons and electrons dotted around inside it.


Ernest Rutherford fired a beam of alpha particles at a very thin gold foil


the particles was repelled at different angles which meant that the positively charged particle was deflected by positively charge in the atom.


The atomic number of an element is the number of protons


Isotopes have the same number of protons but different atomic mass as they have different number of neutrons


Background radiation


It is radiation all around us. It comes from natural and artificial sources


Natural


Cosmic rays- radiation from space


Rocks- radioactive rocks that release radon gas 50%


Living things- plants absorb radioactive material and is passed in the food chain


Artificial around 15%


Radioactive waste


Nuclear fallout


X-ray machines


Photographic film


Goes darker when radiation absorbed


Contains different material for different radiation to penetrate them


Contains aluminium/ lead and an open area


Geiger muller tube


Detects radiation by absorbing radiation


Each time it absorbs radiation, it transmits an electrical pulse to a counting machine


It makes a clicking sound or display a count rate


The greater the radiation, the higher the count rate


Types of radiation


Alpha


Identical to a helium atom but does not have electrons


2 proton 2 neutrons


Beta


Electrons are emitted from the nucleus of a radioactive atoms when  neutrons split forming protons and electrons


Gamma rays


These are electromagnetic radiation with a short wavelength.

Alpha radiation is the least penetration, it can be absorbed by just a piece of paper or skin

Beta radiation can penetrate air and paper but absorbed by a thin sheet of aluminium

Gamma radiation is the most penetrating and can penetrate air, paper and metal, it can only be stopped by centimetres of lead.

The thicker the substance the more radiation is absorbed, radiation becomes less intense the further the distance from the radioactive material.

Detecting radiation

Electric fields

Alpha particles are positively charged and beta particles are negatively charged.

Gamma is neutral.

Alpha particles are attracted to negatively charged plates (Cathode) and beta particles will be attracted to positively charged plates (anode)

The radiation are deflected by electric fields but gamma radiation is not deflected.

The radiation are also deflected by magnetic fields but gamma remain unaffected

Hazards

When radiation collide with living cells it damage them. If the nucleus is damaged, the DNA might alter and become cancerous. The cell would divide rapidly and cause health problems.

The greater the dose of radiation the more chance it will be that the cell will become cancerous.

With a very high dose it will kill the cell. This property is used  to kill cancer cells and also microorganisms.

Inside body

Alpha particles are the most dangerous as they are easily absorbed by cells - the most ionising.

Beta and gamma radiation are not as dangerous as they are not as ionising and will usually pass through cells.

Outside body

Alpha particles are not as dangerous as it is unlikely to reach inside the body as the body is protected by skin which will absorb the alpha particle.

Beta and gamma radiation are the most dangerous as they can penetrate the skin and damage the cells inside.

Half Life

Radioactive atoms have unstable nuclei, they break down to change into a different type of atom.

It is not possible to predict when an individual atom decay but it is possible to measure how long it takes for the half of the nuclei of a piece of radioactive material to decay.

This is called the half life of the radioactive isotope.

It is the time it takes for the number of nuclei of the isotope in a sample to halve.

It is also the time it takes for the count rate to half.

Half life varies in different isotopes one can last millions of years but some can only last a few seconds.

Use

Radiation can be used in smoke detectors

sterilising medical instruments

killing cancer cells

dating rocks and materials

chemical tracers to help medical diagnosis

measuring thickness of material

Tracers

Radioactive chemicals are ingested into the body and it concentrate in damaged parts of the body.

Radiation detectors are placed outside the body and detect radiation emitted inside the body.

A computer build up an image of the inside.

It usually isn't harmful as the substance has a short half life so it cannot do much damage before it decays and it is not poisonous.

Beta and gamma radiation are used as they pass out of the body and are less likely be absorbed by sells than alpha particles.

Thickness of material

It is used to monitor and control the thickness of material such as paper, plastic and aluminium.

A thicker material absorbs more radiation so less radiation reaches the detector

the detector sends signal to the equipment which adjusts the thickness of the material

Smoke detectors

Smoke detectors contain an ionisation chamber which has a cathode and an anode which an alpha source emitter radioactive substance. The alpha particles ionise the air which produce the current as it causes a flow of charge. The substance has a long half life so it won't run out.

When there is smoke, the alpha particle is unable to ionise the smoke particles so the current drops. The electric circuit triggers the alarm.

Atomic mass = number of protons + neutrons

Atomic number = number of protons

Alpha decay

2 protons and 2 neutrons are lost when a nucleus emits an alpha particle

Atomic mass decreases by 4

atomic number decreases by 2.

Beta decay

A neutron changes into a proton and an electron.

The proton stays in the nucleus but the electron leaves as a beta particle

The atomic mass number stays the same

Atomic number increases by one

Nuclear fission

Nuclear fission means to split a nucleus.

Uranium -235 and plutonium-239 are most commonly used.

They must first absorb a neutron.

The nucleus splits into two smaller nuclei

The split releases  2 or 3 neutrons and energy is released

The neutrons released may be absorbed by other uranium or plutonium nuclei which causes them to split.

This is called a chain reaction.

Nuclear fusion

This is when two atomic nuclei join to make a large nucleus and this also releases energy.

Sun and starts use nuclear fusion.

Hydrogen nuclei join to form helium nuclei.

Hydrogen-1 join with hydrogen-1 to form helium-3

Stars

Stars form when dust and gas are pulled by gravity and clump together.

As they clump together, they get hot, they form a start when they are hot enough for nuclear fusion to start which releases energy and keep the star hot.

A star is stable because the forces are balanced. Outward pressure from expanding gasses are balanced by the force of the star's gravity.

When hydrogen has been used up it starts to fuse larger nuclei and it expands to become a red giant

When the nuclear reactions are over as the star can no longer fuse larger nuclei, they may begin to contract from the pull of gravity. It forms a white dwarf which fades and cools.

For a start with more mass, they will keep making nuclear reactions, expands and get hotter until it explodes as a supernova and throws dust + gases away. It collapses into a black hole or a neutron star.

Planets are formed when gravity pulls smaller amount of dust and gas together

Life cycles of star

Protostar > Main sequence star (Our sun)

Red giant > White dwarf > Black Dwarf  (Path of Our sun)

Red super giant star> Supernova > Neutron star / Black hole.

Temperatures and pressures inside a star is great enough for nuclear fusion to happen.

Stars have enough hydrogen to maintain their energy output for million of years.

Hydrogen nuclei fuse together to form helium nuclei.

In a red giant star, the start fuse heavier elements from helium to iron.

Elements heavier than iron are formed in supernovas.

Heavy elements are found in suns and stars which suggest the solar system are formed from remains of supernovas