OPPOSITE CORNERS
Opposite Corners Introduction: For this piece of Mathematics GCSE coursework I am going to find out the difference between the products of the numbers in the opposite corners of any squares that can be drawn on a 10 x 10 grid composing of 100 squares. I shall try to use tables to present my findings; I will make the predictions and proving my predictions right or wrong with examples. I will be using algebra to prove any of the rules I manage to create by analysing my results. Method: I will find out the difference between products for squares of 2 values in 10 x 10 grid. I will do this to find out the general case for this grid. 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 Example 1: 2 1 2 (11 x 2) - (1 x 12) = 22 - 12 = 10 Example 2: 25 26 35 36 (35 x 26) - (25 x 36) = 910 - 900 = 10 Example 3: 63 64 73 74 (73 x 64) - (63 - 74) = 4672 - 4662 = 10 So, from the above examples I can see that the difference is 10, now I will find out the general case algebraically. GENERAL CASE: n n + 1 n + 10 n + 11 (n + 10)(n
Osmosis Coursework
Osmosis in potatoes Problem: Investigation on how changing concentration of Sucrose effects osmosis in potatoes. Scientific Knowledge To understand osmosis, we first need to understand diffusion as osmosis is a special type of diffusion. Diffusion is when gas particles move at random from where they are in high concentration to where they are in a lower concentration, until the particles are evenly spread. The process of diffusion is how we can smell an open bottle of perfume from the other side of the room. Perfume Particles Air Eventually these two types of particles will mix to become evenly concentrated about the room. Osmosis is similar, in a way that water molecules move through a semi-permeable membrane, to where water is least concentrated from where it is most concentrated. Semi-permeable Membrane The water molecules will move to the left through the semi-permeable membrane to where the water is less concentrated. When this happens, the membrane will look like this; The water has evenly spread between both sides of the membrane The movement of water will stop when the concentration of water on either side of the membrane is equal. To Recap: In the above diagrams, pure water and strong sugar solution are separated by a semi-permeable membrane. Osmosis occurs and stops when the concentration is equal on each side.
I aim to find out if the mass of an object affects the speed at which it falls.
Falling Objects Plan I aim to find out if the mass of an object affects the speed at which it falls. I predict that the mass will not alter the speed, as it will reach terminal velocity. I think that all the results will stay roughly the same even though I have changed the mass. When something falls, its potential energy is changed into kinetic energy. Therefore the only thing in this experiment that could alter the speed at which it falls is the air resistance and the height. (These would change the time at which the object is in the air). Theoretically, as I am keeping these the same, the speed should not change. The scientist Galileo proved this. This is a quote taken from the Galileo Timeline. (http://es.rice.edu/ES/humsoc/galileo/galileo_timeline.html) "1589-1592 Teaches mathematical subjects at the University of Pisa (salary 160 scudi per year). Some tracts--lecture notes--written during this period have survived. In On motion Galileo uses the Archimedian approach to motion: the speed of falling bodies is proportional to their density, not their weight as Aristotle had maintained. According to Vincenzo Viviani Galileo demonstrated his conclusions by dropping weights from the leaning tower of Pisa." I will drop the object, which will be a small container, from a height of 30cm. I will measure the speed of the object using a light gate, which will make my results
Critically consider 2 or more psychological explanations of depression
Assignment title: Critically consider two or more psychological explanations of depression. The first psychological approach is the psychodynamic theory introduced by Sigmund Freud. This model suggests that major losses such as the loss of a job or rejection tend to increase the chance of developing depression in an individual. According to Freud, if an individuals fail to establish effective ways of dealing with such loss early on, they are likely to be depressed when confronted with another major loss. In this model, Freud also emphasised the significance of low self esteem in depression as a consequence of anger inward when encountering loss. For example the individual may believe that it is inappropriate to express their anger and therefore internalise it which leads to depression. One strength of the psychodynamic model of depression is that it has been supported by research in this area. For example Shah and Waller (2000) reported that many depression sufferers admitted to having affectionless parents. Given this, it could be argued that early loss is active in triggering later depression. In support of this Bifulco (1992) discovered that children were more likely to suffer depression later in life if their mothers had died during their childhood. However although this appears to be the case, we could argue that since their mothers had died, lack of necessary care
Rutherford's Alpha Particle Scattering Experiment:The discovery of the Nucleus...
Rutherford's Alpha Particle Scattering Experiment: The discovery of the Nucleus... Rutherford was the world leader in alpha-particle physics. In 1906, at McGill, he had been the first to detect slight deflections of alphas on passage through matter. In 1907, he became a professor at the University of Manchester, where he worked with Hans Geiger. This was just a year after Rutherford's old boss, J. J. Thomson, had written a paper on his plum pudding atomic model suggesting that the number of electrons in an atom was about the same as the atomic number. (Not long before, people had speculated that atoms might contain thousands of electrons. They were assuming that the electrons contributed a good fraction of the atom's mass.) Rutherford's alpha scattering experiments were the first experiments in which individual particles were systematically scattered and detected. This is now the standard operating procedure of particle physics. Rutherford's partner in the initial phase of this work was Hans Geiger, who later developed the Geiger counter to detect and count fast particles. The experiment was conducted, as is shown below. Alpha particles were fired from a source (from within a lead "shield") at a sheet of thin gold foil (which had been beaten to about 400 atoms thick. A fluorescent screen was placed behind / around the gold foil. Every time an Alpha particle hit the screen
The Body In Action Assignment. Energy systems.
Energy Systems (P8) (M6) The body has several energy systems such as 'Creatine Phosphate Energy System', 'Lactic Acid Energy' and the two main energy systems are 'Aerobic Energy System' and 'Anaerobic Energy System'. The aerobic energy system produces the largest amount of energy, although at the lowest intensity, therefore at the start of exercise the body cannot deliver oxygen to the muscles quick enough to initiate the complex chemical reactions which occur during aerobic metabolism. The aerobic system utilises fat, carbohydrates and proteins which allows an unlimited supply of ATP as long there is oxygen present. For the aerobic energy system long distance running would be the sporting or exercising activity. There are three sections in the aerobic system: * Glycolysis * Krebs Cycle * Electron Transport Chain (ETC) Glycolysis is an ATP generating metabolic process that occurs in nearly all living cells in which glucose is converted in a series of steps to pyruvic acid. Krebs cycle is a series of enzymatic reactions in aerobic organisms involving oxidative metabolism of acetyl units and producing high-energy phosphate compounds, which serve as the main source of cellular energy. Electron transport chain is a group of compounds that pass electron from one to another via redox reactions coupled with the transfer of proton across a membrane to create a proton
Describe the features of music in Electric Counterpoint
Electric Counterpoint . Electric Counterpoint was written in the 1980’s. 2. Electric Counterpoint was composed for Pat Metheny. 3. Electric Counterpoint is a diatonic piece of minimalistic music. Steve Reich wrote movement 3 of Electric Counterpoint for 8 guitars and 2 basses. It is called ‘Fast’. There are 9 pre-recorded parts and 1 live guitar. Electric counterpoint is written in 3/2. A rhythmic displacement occurs when the guitars come in. This is where a repeated ostinato begins on a different beat of the bar. The ostinato is heard continuously until the end of bar 73. At bar 82 all of the guitars shift to 12/8 apart from guitars 1-4. The effect of the guitars playing at the same time but in different rhythms produces an “interesting rhythmic counterpoint”. The sound of the two time signatures together undermines the metre. The bass guitars strengthen the triple metre. The melody of Electric Counterpoint is based on the ostinati. Reich builds the ostinato at the beginning of the movement by using note addition. This is where you build it up by adding notes in stages. This builds up a repeating idea. The resultant melody – a new melody that emerges when two or more different melodies are played at the same time- gives a new life to the ostinato. At bar 82 the bass guitars play a new ostinato. There are two basses, one which pans to the left and one that
Should parents spend their money on designer clothes for their children?
Should parents spend their money on designer clothes for their children? For years now, parents have been spending a fortune on designer clothing for their children, but what is the point? Why are children so obsessed with designer clothes? I am going to write about how designer clothes are a waste of money. Also how they put so much pressure on children at such a young age. There are many reasons why designer clothes are a bad idea. Statistics show that the average ten year old knows of over 400 brands. As well as the fact that in this country alone over £30 billion is spent on designer clothing every year. Now how much of that is your money? The extra money spent on designer clothes could be spent on so much more. A pair of jeans could cost up to 3 to 4 weeks supply of food for your family. Every day, roughly 150, 000 people die. Most of these people die from starvation. If people spent as little as a pound less on clothes and gave that money to a charity the numbers will rapidly decrease. Children grow so quickly out of clothes. Why spend so much money on designer clothing when it is only going to last them approximately 5 months at the most. Giving them what they want, when they want it means they will think they are in control. Designer clothes lead to pester power. Previous generations would have been happy with second hand clothes and toys or hand made goods
Woody Guthrie somewhat satirically claims that we share the land in his song, This Land is Your Land, This Land is My Land however I do not believe that to be entirely true.
Grapes of Wrath - Essential Questions Response Woody Guthrie somewhat satirically claims that we share the land in his song, "This Land is Your Land, This Land is My Land" - however I do not believe that to be entirely true. Firstly I believe, that land isn't quite a tangible object for purchase, it really doesn't make sense to me at all how we let people reap the bounties of the earth by buying everything up, chopping down all the trees, paving it with cement & apartment complexes. But if land has to belong to a person, it should belong to the inhabitant - it should belong to someone who cares about the land itself, rather than just the profit. So, in a Grapes of Wrath context, this means that the land should belong to the tenant farmers - that the bankers shouldn't have been allowed to scoop up all the land and sell it to the poor for so much. It also means that the tenant farmers should take care of it because they have been the ones that have so carefully labored over it for months, soothing to bring sprouts, singing to bring stalks, crying to bring rain and fruit. The bankers, the overseers - they do not care about the land, they have really invested nothing except for money, but we all know how tempting that sly chick can be. The government has a huge responsibility when it comes to the welfare of farmers. We have to realize that farming is perhaps, after the
A Colorimetric Method for the Estimation of Glucose in Solution.
A Colorimetric Method for the Estimation of Glucose in Solution Method A clean pipette was used to transfer 10cm of 10% glucose into a boiling tube. The pipette was then used to transfer 9cm of 10% glucose into a different boiling tube. 1 cm of distilled water was added to give 10cm of 9% glucose. This was repeated to make 10cm of 8%, 7%, 6%, 5%, 4%, 3%, 2%, and 1% glucose solutions (use the table below to help): Concentration of glucose (%) Volume of 10% glucose to transfer (cm ) Volume of distilled water to transfer (cm ) Total volume of solution (cm ) 0 0 0 0 9 9 0 8 8 2 0 7 7 3 0 6 6 4 0 5 5 5 0 4 4 6 0 3 3 7 0 2 2 8 0 9 0 A clean pipette was used to transfer 5 cm of 1M sulphuric acid into each solution. A clean pipette and pipette filler was used to transfer 2cm of potassium permanganate solution into each boiling tube. A stopwatch was started the exact moment the potassium permanganate was added to the acidified glucose solutions. A time was recorded, in seconds for the complete decolourisation of the potassium permanganate solutions. Results Concentration of glucose (%) Start time (seconds) Finish time (seconds) Elapsed time (seconds) 0 90 562 472 9 80 578 498 8 70 590 520 7 60 605 545 6 50 614 564 5 40 629 589 4 30 635 605 3 20 963 943 2 0 787 777 0 2486 2486 Results of
