... point, then the motion is s.h.m. This definition can be expressed mathematically as a = -(a constant).x where x is the displacement of the body from the equilibrium position. The magnitude of the constant is equal to a/x or f/mx, where m is the mass of the oscillating body and F is the restoring force. We would therefore expect the value of the constant for a given oscillation to depend on: u The restoring force per unit displacement u The mass of the oscillating body The pendulum: A simple pendulum consists of a heavy mass ... exhibited at X will be at its maximum. Alternatively if the...

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• Grade Level: High School

... of the significance of the explanatory variables. It deduces whether or not the coefficients generated by the OLS for the independent variables are significant. The confidence level in this test is 95% and it is a two tail test as the coefficient can either be positive or negative. To obtain the critical value of the t distribution, the area in each tail should be 0.05/2 =0.025. The number of observations (n) in the OLS is 60. The number of explanatory variables (k) is 5. The ... degrees of freedom are calculated using the following formula d.f. = n- k - 1 hence, d.f. = 60-5-1 = 54 At 5...

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... below: Temperature, Surface Area, Concentration, Pressure (for gases), The use of Catalysts, And Light. Temperature - this is arguably one of the best ways to alter the rate of a chemical reaction. The hottest solution will cause a reaction first. Increasing the temperature increases the reaction rate. The hotter the particles, the more kinetic energy the particles have, which makes the probability of them bumping into each other higher. When the particles have more energy, they are more likely to ... when they collide. Surface Area - If we break up the particle, we are increasing the t...

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... a reaction. Collisions are only successful when the molecules possess the minimum energy which can break the bonds between atoms to create new molecules. This is called the activation energy. The Rate of a reaction should increase if the number of successful collision per second also increases. These are the factors that affect the rate of reaction for this particular reaction: Temperature of the reactants: As the temperature increases the kinetic energy of the molecules also increases, meaning that there ... will be more random, frequent, harder, and more successful and fruitful collis...

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... halt during this time (Kposowa, 95). The large jump in 1980-1990 may be due to the legalization of numerous aliens by the Immigration Reform and Control Act of 1886. This furthers the idea that increased immigration does not lower native wages. Fig. A. Effect of immigration on native income 1940-1950 1950-1960 1960-1970 1970-1980 1980-1990 Coefficient of Native income per 1% immigration. -$4.363 ... +$23.900 +$52.992 +$54.988 +$126.388 Kposowa, 1998 There is a common conception that immigrants overburden public assistance programs. However, this idea has been exaggerated to the point of ...

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... up to represent  interdependent industries. The coefficients  represent the the materials necessary for each industry to produce one unit of their goods. This is why the matrix is often referred to as the consumption matrix. The coefficients in row one correspond to industry  the coefficients in row 2 are the amounts necessary for industry  to produce something, and so on. Each column in the coefficient matrix models the output from each industry that ... is consumed. This means that the summation of the entries in a given column will give the total amount of product from a give...

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... .5cm) indicating continuous variation. To give the correlation between foot length and hand span a precise value and therefore define its significance accurately, Spearman's Rank Correlation Coefficient was used. This statistical technique was carried out by first ranking the data in order of the greatest measurements of foot length and hand span, calculating their difference followed by the difference squared between the ranks of the two measurements. These values were used ... in the formula: 1 - 6 x Åd2 n(n2-1) to calculate a numerical value for the correlation and therefore determin...

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... during that 20 seconds. ? The pH was not the same for each test as ? The temperature was not kept the same for each of the tests, as they were conducted on different days and at different times of the day. This effected the accuracy of the results because if the temperatures were higher or lower the kinetic energy present would have changed and so the rate of reaction increased or decreased. ? The dilutions of Copper Sulphate and Hydrogen ... Peroxide were not accurate, due to human error. This had a direct effect on the results as it lowers the accuracy ? The measurements of displaceme...

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... , 1995, p83). The key is to use the explanations the text provides the reader with. To apply hermeneutics of suspicion to the Council of Nieca, the Catholic Church, and the Trinity a brief history of the happenings of the time and a definition of the Trinity are in order. There was a division in the Christian church, which was due a war between Constantine and Licinius. Constantine was the ruler of the Roman Empire in the west and Licinius, the ruler of the Roman Empire in the East. War ... was due to Licinius's acceptance of Constantine as the senior Augustus and his subsequent acceptan...

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... two primary factors: the angle at which the ball leaves the bat, and how fast the ball is hit. The speed of the ball depends on both the speed of the pitch and the speed of the bat. If the bat is standing still and the ball hits it, the ball will bounce off the bat with most, but not all, of the pitch speed. (Some of the energy is wasted in the friction of deforming the ball, making a sound, etc.) If the ball is standing ... still and is hit by the bat, it's given a good portion of the bat's speed. Combine the two ... ...

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... , the table below show that the lowest 10 % of the population of Australia acknowledged 2.6% of national income. But as for China, the lowest 10% of the population established 1.7%. Although the highest 10% of the population in China gained 30% of total national income compared to Australia requiring the national income of 26.5%. Figure 1.5: Distribution of income shares for Australia and China Source: The World Bank, World Development Indicators, World Bank, Washington DC The Gini coefficient refers to the degree of inequality ... through the single ... ...

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... . The upward sloping direction of the fitted line denotes that the relationship is a positive one, that is to say the larger the property the higher its value. However although this does prove that there is a relationship it does not say how strong it is. For that Minitab provides a correlation function. The correlation coefficient is a value that always lies between -1 and +1, the stronger the relationship the nearer the value is to +1. The correlation value for the ... figure 5 is 0.371. Whilst this does show a relationship between price and the factor of house size, the low value posi...

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... (http://www.ott.doe.gov 2). This is about twice the efficiency as internal combustion cars today (http://www.etvi.org). These new cars are able to save so much more gasoline by several methods. One of these methods is regenerative breaking which store the kinetic energy into the battery as the brake slows the car down (http://www.spectrum.ieee.org). Since these cars run mainly off ... of their battery, with gasoline re-charging the battery when needed, when the car is stopped or in idle, most can safely shut down ... the engines while quickly starting again when the accelerator is pres...

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... Beatrice's cousins Marco and Rodolfo come and stay at their house when they come over from Italy. The arrival of the illegal immigrants creates a number of problems, which results in tragedy at the end of the play. In the play "A view from the bridge" Alfieri plays a lawyer who shows the right and wrong within the play. Alfieri is also from Italy, and also plays a friend and adviser to Eddie Carbone. In ... own hands. They prefer violence and power, but in New York people have to live by the rules. Alfieri prefers the American way. Much of the discord in the play is because there is a c...

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... return for oil and machinery. All this caught the USA off guard because the USA always saw Castro as non-threatening. A4 states that in America, Castro was virtually unknown and that "American ignorance to the changes he had in mind was one of the reasons for the friction, which later developed between Cuba and America leading to the Bay of Pigs invasion". When Kennedy took over as American ... president in 1961, he became the youngest ever president. He was told of a CIA plan to invade Cuba and overthrow Castro, which he allowed ... to go ahead but the result was a disaster, and becam...

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... are very near, they quit their plank, & dive under till the Surf is broke, when the piece of plank is sent many yards by the force of the Surf from the beach. The greatest number are generally overtaken by the break of the swell, the force of which they avoid, diving and swimming under the water out of its impulse. By such like exercises, these men may be said to ... Surfboards of the 30's made out of composite wood allowed slight curves and a much lighter board (practical for manoeuvrability). When supplies became available after the WW2 composite wood was substituted for lightweight b...

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... sees that Ellen is being pushed out obliterated from their memories. This brings me to one of the most important themes in the novel v/s sacrifice. I think this theme helps to develop the main message of the plot. There are many people and ideas sacrificed in the novel, the most obvious of which is the relationship of Archer and Ellen: "I cant love you unless I give you up" Ellen knows that she cant ... her fit in. He tries to talk her out of divorcing Count Olenski: "New York society is a very small world compared to the one youve lived in. And it's ruled, in spite of appearances, by a...

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... return for oil and machinery. All this caught the USA off guard because the USA always saw Castro as non-threatening. A4 states that in America, Castro was virtually unknown and that "American ignorance to the changes he had in mind was one of the reasons for the friction, which later developed between Cuba and America leading to the Bay of Pigs invasion". When Kennedy took over as American ... president in 1961, he became the youngest ever president. He was told of a CIA plan to invade Cuba and overthrow Castro, which he allowed ... to go ahead but the result was a disaster, and becam...

• Word Count: 2739
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... , but Waits. He found religion as an outlet to overcome his crises and started searching for a meaning of life and rebelled against the dogma and ritual of Orthodox Church. As a result, in 1901, he was excommunicated. After years of increasing friction with his wife, Tolstoy renounced his aristocratic life and left his home in late October 1910. He became ill and died in a railroad ... station at Astapovo, Russia, ten days later, on November 7, at the age of eighty-two.4 2. Title of the Story and Tolstoy The title of the story holds an implied allegorical meaning according to ... the pl...

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... state. It was simply meant for business. The territory became highly aristocratic with vast feudal estates. It also boasted a wide variety of languages. M. Friction with English and Swedish Neighbors 1. The New Netherlands were plagued with problems from the start. It had poor leadership and impatient/greedy company shareholders. The local Indians often retaliated. 2. New England did not like the growth of the Dutch colony. Three English colonies wanted to ... conquer the New Netherlands but Massachusetts was against it. 3. The Swedes trespassed onto Dutch territory with the founding of...

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... volume in several weeks and it happened just 15 minutes before the Fed announced to decrease its target discount rate by 25 points and not by the expected 50. The sell caused the gold price to plummet. Making the close Definition: Making a purchase or sale of a security near the close of the day's trading, with the objective of affecting published prices, particularly the reported closing price. This might be done to avoid margin ... calls (when the trader's position is not self-financed), to support a flagging price or ... ...

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... is why we talk about third party intervention in a conflict. In other words, a third party intervenes in the conflict in order not just to manage the conflict, but also to try and secure a successful outcome to the conflict. a. Negotiation Definition: • The reaching of agreement through discussion and compromise. When people compromise, they agree to accept less than they originally wanted. A ... your body language that you are listening and understanding. • Be willing to compromise • Keep your agreements. When negotiation fails, more formal means of conflict resolution are require...

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... receive messages. This section will discuss how Kurdish fits into the definition of language and how it displays the 5 properties of language, and how it shares a relationship with the people who use it. The Kurdish language has a saying for almost everything, (Kutschera 1344). Some examples are God finds a low branch for the bird that cannot fly, and no matter where you go ... the sky is the limit and is done out of enjoyment. The Kurds also have form in their art. This is another part of the definition of art. There are several forms of art within the Kurdish culture. There is music, da...

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... Photo: Tech And Innovation Daily) Consumer According to statistics by FAO, nearly 50 percent of the overall food waste in the UK is created by the consumer (FAO.org, 2014). In order to understand this more clearly it is necessary to explain what a consumer is. According to the Oxford dictionary, the definition of a consumer is both "A person who purchases goods and services for personal use" ... ; and "A person or thing that eats or uses something." ("Definition of Consumer in English"). Throughout our project, we are referring to a consumer as the first explanation found in the Oxfor...

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... word for processes that create new species - but only processes made possible, ultimately, by geographic separation. The other general type of speciation is called sympatric (same country). Either process can result in intrinsic reproductive isolating mechanisms. The creation of intrinsic reproductive isolation is, by definition, the creation of a new species. The intrinsic isolating mechanisms are ecologic isolation, temporal isolation, behavioral isolation, mechanical isolation, gamete isolation, and hybrid infertility ... 's start slow. Let's begin to think about systematics by defini...

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• Grade Level: High School