The dissolution of the manasteries Essay Example For Students

The dissolution of the manasteries Essay The Dissolution of the Monasteries and the events which followed, were all brought about as a direct result of the break with Rome. The reason for the break, lies simply in Henrys frustration at his inability to secure a divorce form his wife Catherine of Aragon, and a blessing from the Pope for his new marriage to Anne Boleyn, although arguably, there was a need for reformation within the church. Prior to the break with Rome, the church was rife with pluralism, simony (one of the popes main failings) and breaches of the vows of celibacy. It is therefore clear that there were problems with the English church prior to the break, but although it was unpopular, many people including Henry remained Catholic:A firm Catholic, he was keen to have papal approval, and the more unlikely this became, the more he was forced to question the Popes jurisdiction in England 2To accomplish a break, Henry needed some kind of justification, and he would also have to ensure that in implementing the break itself, he was not seen as supporting heresy and the Protestant reformation in particular. With the aid of advisor Thomas Cromwell, Henry aims to enact the break with Rome using statute authority; that of the king, lords and commons acting through parliament. We will write a custom essay on The dissolution of the manasteries specifically for you for only $16.38 $13.9/page Order now A sequence of truly revolutionary acts of parliament now cut the bonds spiritual, legal, financial which linked the English church and state to Rome 3There were several main landmarks in the break with Rome, the first of which was the act in restraint of appeals. This was a justification and definition of royal supremacy, and was grafted by Thomas Cromwell. It was the act of supremacy in 1534 however, that would prove to be Henrys greatest step forward in the break. It confirmed Henrys headship of the church and explicitly reserved the crown the rights to the organizing and jurisdictional powers formerly held by the Papacy. By this, the crown would control the right o define the churchs teachings and doctrinal decisions, ultimately resulting in the downfall of the monasteries. As a result of Henrys pressure on the English clergy in his attempts to convince the Pope to grant a divorce, the dissolution of the monasteries became an important and necessary task. By removing the Popes most loyal supporters from England, Henry was severely limiting his power. In 1533, in stead of Anne Boleyns impending pregnancy, Thomas Cranmer, an archbishop, declared Henrys marriage to Catherine invalid, (the king must stop living in this sin with this woman who is not his wife 4) and married him to Anne Boleyn. The Act of Supremacy then, established Henry as head of the Church of England, and marked the end of the Popes influence in his realm. Threatened by the Pope with excommunication, if he did not take Catherine back, all hopes of reconciliation with Rome were passed. Henrys reformation was moving quickly.When henry VIII first initiated the dissolution of the Monasteries, he was facing criticism from various sides. It must be understood that in deciding the validity of Henrys claims for the dissolution, there are two sides to the argument. Protestant supporters of Henrys actions, argue that after the 1530s, all the monasteries were corrupt and a place where sinners lived in a luxury paid for by others. The reasons for monastic life they claimed, were based on a lie created by the Papacy, to strengthen its own position: In order to lessen the time a person spends in purgatory when they die, money must be donated to the church in order to save their soul. .ub1f412cb26dacc99a9c728b049d3d844 , .ub1f412cb26dacc99a9c728b049d3d844 .postImageUrl , .ub1f412cb26dacc99a9c728b049d3d844 .centered-text-area { min-height: 80px; position: relative; } .ub1f412cb26dacc99a9c728b049d3d844 , .ub1f412cb26dacc99a9c728b049d3d844:hover , .ub1f412cb26dacc99a9c728b049d3d844:visited , .ub1f412cb26dacc99a9c728b049d3d844:active { border:0!important; } .ub1f412cb26dacc99a9c728b049d3d844 .clearfix:after { content: ""; display: table; clear: both; } .ub1f412cb26dacc99a9c728b049d3d844 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .ub1f412cb26dacc99a9c728b049d3d844:active , .ub1f412cb26dacc99a9c728b049d3d844:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .ub1f412cb26dacc99a9c728b049d3d844 .centered-text-area { width: 100%; position: relative ; } .ub1f412cb26dacc99a9c728b049d3d844 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .ub1f412cb26dacc99a9c728b049d3d844 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .ub1f412cb26dacc99a9c728b049d3d844 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .ub1f412cb26dacc99a9c728b049d3d844:hover .ctaButton { background-color: #34495E!important; } .ub1f412cb26dacc99a9c728b049d3d844 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .ub1f412cb26dacc99a9c728b049d3d844 .ub1f412cb26dacc99a9c728b049d3d844-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .ub1f412cb26dacc99a9c728b049d3d844:after { content: ""; display: block; clear: both; } READ: Hate crimes EssayAs a result of these false and morally corrupt claims on behalf of the Papacy, Protestants argued that the monasteries deserved to be dissolved, as the money they survived upon was gained under false pretences. Another factor that supports Henrys argument for the dissolution, were the results found from the valor ecclesiasticus. Within this, it was discovered that on average, one quarter of a monastic houses wealth went to the head of the house, usually an absentee leader, living their life as a country gentleman, free form responsibility. Revelations such as this obviously angered the public, but whether or not Henry was angered in the

Sample AP Euro DBQ Essay

Sample AP Euro DBQ EssayWhat is the sample AP Euro DBQ essay? It is a unique AP Euro DBQ practice test given in order to train people who want to take the exam. The purpose of the test is to familiarize a person with the guidelines and methods used by the examiner during the entire examination. Moreover, it is also an excellent chance for a person to make sure that he or she is able to properly answer the questions asked by the examiner.What are the basic question types included in the exam? There are two basic question types that you can be tested with in this type of exam. One is the multiple-choice type, which is more practical than theoretical and the other is the factual type which involves answering factual questions. These two questions will help you to learn about the procedure used in preparing for the test and make sure that you know how to answer the questions correctly.As there are so many questions on this kind of essay, you have to answer each question carefully in orde r to be prepared. You have to first realize that there are certain types of questions and there are certain kinds of answers which are correct and others which are not. Therefore, you should know which kind of questions you are to answer and which kinds of answers you should give.You also have to be aware of the way you should proceed in answering a question. The examiner will most likely ask a question and when you answer it you should do so in a logical manner. You should also read and understand what the question is asking for before you answer it. You should read the question carefully and then give your answer and explain how you arrived at it.You have to remember that there is no 'correct' answer for a question. Therefore, if you have something you would like to add to your answer you should do so. In some cases, there may be a list of possible answers that you can give in a particular question. If there is such a list, you should make sure that you know all the possible answe rs, and they should be the ones you use.It is not always easy to find the correct way to answer a question but there are some examples you can follow. For example, if you have a question that asks you to demonstrate the ability to use logic you can prepare by telling the examiner about something that is more logical to you rather than telling him that you have a good memory. If the answer to a question requires you to prove how much experience you have, you can prove that you have enough experience by citing examples of what you have done before.Furthermore, there is a tendency for students to skip filling out the last section of the paper because they think that they cannot finish it. You should continue to answer each and every question on the last section because it is part of the process of preparing for the exam. You will also need to review the paper after the exam because there are some points that the examiner will consider especially if you need to be tested on a topic that is too difficult for you.Taking the test is not that easy especially if you do not have any previous experience or know what the exam will be like. Therefore, it is best for you to get as much preparation as possible before taking the exam so that you can ace it.

Tutorial of Kinemtatics Essay Example

Tutorial of Kinemtatics Essay Example Tutorial of Kinemtatics Essay Tutorial of Kinemtatics Essay Applied Science Department (ASD) Centre for Foundation Studies and Extension Education (FOSEE) PPH 0095 Mechanics Foundation in Engineering ONLINE NOTES Chapter 2 Kinematics FOSEE , MULTIMEDIA UNIVERSITY (436821-T) MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA. Tel 606 252 3594 Fax 606 231 8799 URL: http://fosee. mmu. edu. my/~asd/ PPH0095 MECHANICS Contents 2. 0 2. 1 2. 2 2. 3 2. 4 2. 5 2. 6 2. 7 2. 8 2. 9 2. 10 2. 11 2. 12 2. 3 Introduction Definitions of Linear Motion Distance Displacement Speed and Velocity Average Velocity Instantaneous Velocity Average Acceleration Instantaneous Acceleration Equations of Linear Motions Motion Graphs Free Falling Objects under gravity Projectile Motion Uniform Circular Motion ASD 2011/12 KINEMATICS 1/23 PPH0095 MECHANICS Mind Map ASD 2011/12 KINEMATICS 2/23 PPH0095 MECHANICS OBJECTIVES Upon completion of this chapter, you should be able to: 1) 2) 3) 4) 5) define distance, displacement, velocity, acceleration. know how to apply all the equation for linear motion with constant acceleration. raw graph velocity versus time , distance versus time and explain them. understand the concept of free fall and should be able to solve the problem. understand the concept of projectile motion and uniform circular motion and should be able to solve the problem. 2. 0 INTRODUCTION Kinematics is the branch of mechanics which studies the motion of objects without considering the forces that cause the motion. Vector quantities such as displacement, velocity, and acceleration are involved. The study of the motion of objects under the action of forces is called dynamics. The study of the motion of objects, and the related concepts of force and energy, form the field called mechanics. Mechanics is customarily divided into two parts i. e. kinematics and dynamics. Kinematics : the description of how objects move. Kinematics in one dimension : describing an object that moves along a straight line path, which is one dimensional motion. Kinematics in two dimensions : the description of the motion of objects that move in paths in two (or three) dimensions. Dynamics : deals with force and why objects move as they do. In this part we will solve the following questions : What akes an object at rest begin to move ? What causes a body to accelerate or decelerate ? What is involved when an object moves in a circle ? We can answer in each case that a FORCE is required. 2. 1 DEFINITIONS of LINEAR MOTION Linear motion is motion along a straight line. Three types of motion: Translational Rotational Vibrational ASD 2011/12 KINEMATICS 3/23 PPH0095 MECHANICS Fig ure 1 We only discuss objects that move without rotating (Figure 1a) Motion in straight line; Vertical Horizontal Slanting Reference Frames Any measurement of position, distance or speed must be made with respect to a frame of reference. It is always important to specify the frame of reference when stating a speed. In everyday life, we usually mean with respect to the Earth. Position For one-dimensional motion, we often choose the x axis as the line along which the motion takes place. The position of an object at any moment is given by its x coordinate. If the motion is vertical, as for a dropped object, we usually use the y axis. 2. 2 DISTANCE The length of the actual path or total path length. It depends on the frame of reference, for example, Ipoh is 200 km away from Kuala Lumpur. A set of coordinate axes represents a frame of reference. ASD 2011/12 KINEMATICS 4/23 PPH0095 MECHANICS 2. 3 DISPLACEMENT The change in position of the object, i. e. displacement is how far the objects is from its starting point. For example : A change from an initial position xi to the final position xf, the displacement is, ? x = xf xi. The symbol ? (delta) means change in. So ? x means the change in x which is the displacement. It is a quantity that has both magnitude and direction and represented in diagrams by arrows. Example 1 : A person walking 70 m to the east and then turning around and walking back (west) a distance of 30 m. Total distance = 100 m Displacement = xf xi = 40 m 0 m = 40 m Figure 2 2. 4 SPEED and VELOCITY The most obvious aspect of the motion of a moving object is how fast it is moving, i. e. its speed or velocity. Speed is simply a positive number, (i. e. a scalar: having magnitude only) with units. Velocity, on the other hand, is used to signify both the magnitude (numerical value) of how fast an object is moving and also the direction in which it is moving. (velocity is therefore a vector). Average Speed is defined as the total distance travelled along its path divided by the time it takes to travel this distance, i. . average speed = distance travelled time elapsed ASD 2011/12 KINEMATICS 5/23 PPH0095 MECHANICS 2. 5 AVERAGE VELOCITY Average velocity is defined as the displacement divided by the elapsed time, i. e. average velocity, v ave = x f xi displacement ? x = = time elapsed ? t t f ti Average velocity would be zero if starting and ending point are the same. Unit : ms-1 Fi gure 3: Velocity of a car as a function of time at constant velocity. Figure 4: Velocity of a car as a function of time with varying velocity. 2. 6 INSTANTANEOUS VELOCITY The instantaneous velocity is the velocity at any instant of time. In general the instantaneous velocity at any moment is defined as the average velocity over an infinitesimally short time interval. We define instantaneous velocity as the average velocity in the limit of ? t becoming extremely small, approaching zero. v = lim ?t > 0 ?x dx = ? t dt Let ? t approach zero, ? x approaches zero as well. But the ratio ? x/? t approaches some definite value, which is the instantaneous velocity at a given instant. KINEMATICS 6/23 ASD 2011/12 PPH0095 MECHANICS 2. 7 AVERAGE ACCELERATION Acceleration specifies how rapidly the velocity of an object is changing. Average acceleration is defined as the change in velocity divided by the time taken to make this change, i. e. v f vi change of velocity ? v average acceleration, aave = = = time elapsed ? t t f ti Unit : ms-2 2. 8 INSTANTANEOUS ACCELERATION The instantaneous , a , is defined as the limiting value of the average acceleration as we let ? t approach zero. instantaneous acceleration, a = lim ? dx ? d? ? 2 dv ? dt ? = d x a = = dt dt dt 2 ?t > 0 ? v dv = ? t dt since v = dx , so dt Acceleration tells us how fast the velocity changes, whereas velocity tells us how fast the position changes. x v= dt and dv d 2 x a = = dt dt 2 2. 9 EQUATIONS of LINEAR MOTIONS Many practical situations occur in which the acceleration is constant, i. e. the acceleration doesnt change over time. We now treat this situation when the magnitude of the acceleration, a, is constant and the motion is in a straight line. In this case, the instantaneous and average acceleration are equal. To simplify our notatio n, let us take the initial time in any discussion to be zero the elapsed time, t initial velocity , vo the position at time t is s the velocity at time t is v ASD 2011/12 KINEMATICS 7/23 PPH0095 MECHANICS The acceleration, which is assumed constant in time , will be a = Multiply both sides by t and get: ? v = vo + at at = v ? vo v ? vo t †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. ( 1. 9. 1 ) [omit s] velocity vo v O time t ?v +v? s=? o ? t ? 2 ? †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦( 1. 9. 2 ) [omit a] Substitute equation (1. 9. 1) into (1. 9. 2), s =( v o + v o + at )t 2 or s = vot + ? at2 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. ( 1. 9. 3 ) [ omit v ] We now derive the fourth equation, which is useful in situations where the time, t is not known. From equation ( 1. 9. 1 ) , solve for t, obtaining t= v ? vo a .. †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. ( 1. 9. 4 ) Substituting equation ( 1. . 4 ) into equation ( 1. 9. 3 ), we have ASD 2011/12 KINEMATICS 8/23 PPH0095 MECHANICS 2 2 ? v + v o v ? v o ? v ? v o s=? ?= 2a ? 2 a ? Solve for v 2 and obtain 2 v 2 = v o + 2as †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. ( 1. 9. 5 ) [ omit t ] From equation ( 1. 9. 1 ) , solve for vo, obtaining vo = v – at†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦. (1. 9. 6) Substitute equation (1. 9. 6) into (1. 9. 2), s =( v + v ? at )t 2 or s = vt ? ? at2 †¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. ( 1. 9. 3 ) [ omit vo ] Example 2:: Spotting a police car, you brake a porsche from 75 km/h to 45 km/h over a displacement of 88 m. a) What is the acceleration assumed to be constant ? Given: vo = 75km / h = 75 ? 103 = 20. 83 m/s 3600 45 ? 103 v = 45km / h = = 12. 5 m/s 3600 s = 88 m, a = ? v 2 = vo + 2a s (12. 5 m/s)2 = (20. 83 m/s)2 + 2a(88 m) a = -1. 6 m/s1 2 b) What is the elapsed time ? s = ? (vo + v)t 88 m = ? (12. 5 m/s + 20. 83 m/s)t t = 5. 4 s c) If you continue to slow down with the acceleration calculated in (a), how much time will elapse in bringing the car to rest from 75 km/h ? v = vo + at 20. 83 m/s = 12. 5 m/s + (-1. 6 m/s2 )t t = 13 s ASD 2011/12 KINEMATICS 9/23 PPH0095 MECHANICS d) In ( c ) what distance will be covered ? s = vot + ? at2 = (20. 3 m/s)(13 s) + ? (-1. 6 m/s2)(13 s)2 = 137 m e) Suppose that later, using the acceleration calculate in (a) but a different initial velocity , you bring your car to rest after travelling 200 m . What is the total braking time ? s = vt ? ? at2 200 m = (0 m/s) t – ? (-1. 6 m/s2) t2 t = 16 s 2. 10 MOTION GRAPHS The motion of a body can be illustrated by o a displacement-time ( x t ) graph. o a velocit y-time ( v ) graph o an acceleration-time ( a t ) graph Displacement-time graph or s t graph of a body shows how the displacement of the body varies with time. o Instantaneous velocity, v= dx = gradient of the s – t graph. dt Figure 5 shows the x – t graphs for four types of motion. Figure 5a o Constant velocity Velocity = gradient of the graph = constant ASD 2011/12 KINEMATICS 10/23 PPH0095 MECHANICS Figure 5b o Constant acceleration with initial velocity u = 0 When t = 0, gradient = 0 Gradient increases as t increases ? Velocity increases Figure 5c o Constant acceleration with initial velocity u ? 0 When t = 0, gradient ? 0 hence initial velocity ? 0 Gradient increases as t increases ? Velocity increases ASD 2011/12 KINEMATICS 11/23 PPH0095 MECHANICS Figure 5d Non-uniform acceleration When t = 0, gradient ? 0 Hence initial velocity ? 0 When t = t, gradient = 0 Hence velocity = 0 When t = t2, gradient ; 0, Hence velocity is negative. When velocity is negative, ob ject is moving in the opposite direction. Velocity–time graph or v – t graph of a body shows how the velocity of a body varies with time. Velocity, v = dx dt Displacement, s = ? v dt = area under the v – t graph. Instantaneous acceleration, a = dv = gradient of the v t graph at that instant. dt Figure 6 shows the v – t graphs for six types of motion. ASD 2011/12 KINEMATICS 12/23 PPH0095 MECHANICS Figure 6a Uniform velocity Gradient = 0, acceleration = 0 Displacement from t = t1 to t = t2, s = shaded area , A Figure 6b o Uniform acceleration Initial velocity = 0 Gradient = constant, hence Acceleration = constant Displacement from t = t1 to t = t2, s = shaded area , A ASD 2011/12 KINEMATICS 13/23 PPH0095 MECHANICS Figure 6c o Uniform acceleration Initial velocity ? 0 Gradient = constant, hence Acceleration = constant Displacement from t = t1 to t = t2, s = shaded area , A Figure 6d o Uniform acceleration Initial velocity ? 0 Constant negative gradient imp lies constant negative acceleration (constant deceleration) ASD 2011/12 KINEMATICS 14/23 PPH0095 MECHANICS Figure 6e o Non-uniform velocity Initial velocity = 0 Gradient decreases, hence acceleration decreases, Displacement from t = t1 to t = t2, s = shaded area , A Figure 6f o Increasing acceleration Initial velocity = 0 Gradient increases, hence acceleration increases. Acceleration-time graph or a – t graph of a body shows how the acceleration of the body varies with time. dv a = dt Increase in velocity = ? a dt = area under the a – t graph. Figure 7 shows four acceleration–time graphs. ASD 2011/12 KINEMATICS 15/23 PPH0095 MECHANICS Figure 7a o Constant acceleration Gradient=constant Area, A = increase in velocity from t = t1 to t = t2 Figure 7b o Acceleration increases uniformly Gradient=constant Area, A = increase in velocity from t = t1 to t = t2 Figure 7c o Decreasing acceleration Area, A = decreasing in velocity from t = t1 to t = t2 ASD 2011/12 KINEMATICS 16/23 PPH0095 MECHANICS Figure 7d o Uniform velocity When velocity = constant, acceleration , a = 0 2. 11 FREE FALLING OBJECTS UNDER GRAVITY Any object moving freely under the influence of gravity, regardless of its initial motion. When an object is in free fall, we assume that air resistance is negligible and that the only force acting on it is gravity. Object thrown upward/downward, will both experience the same acceleration as an object released from rest. Assuming air resistance is negligible, the rate of acceleration (g) of all objects in free fall is approximately 9. 8 m/s2. The vertical motion of a freely falling object is equivalent to motion in one dimension under constant acceleration. The equations for uniformly accelerated motion can be applied to free fall. Since the motion is vertical, y replaces x and y0 replaces x0 while g replaces the symbol a. It is arbitrary whether we choose y to be positive in the upward or downward direction; but we must be consistent about it throughout a problem’s solution. Thrown downward: a = g = +9. 80 m/s2 Thrown upward: a = g = 3: A boy on a bridge throws a stone vertically downward toward the river below with an initial velocity of 14. 7 m/s . If the stone hits the water 2. 00 s later, what is the height of the bridge above the water? Solution: Take y as positive downward Given: v0 = 14. 7 m/s , ( downward) , t = 2. 00 s and g = + 9. 8 m/s/s 1 y y o = v o t + at 2 2 = (14. )(2. 00) + (1 / 2)(9. 8)(2. 00) 2 = 29. 4 + 19. 60 y = 49. 0 m 2. 12 PROJECTILE MOTION It is the motion in two dimensions under the action of gravity only (downward) We Can study the motion of a projectile by considering ASD 2011/12 KINEMATICS 18/23 PPH0095 MECHANICS o The vertical component. And o The horizontal component of the motion. The vertical component of motion is motion under uniform acceleration. The h orizontal component of motion is motion under uniform velocity If air resistance is negligible, then the horizontal component of motion does not change; thus ax = 0 and vx = vx0 = constant. The vertical component of motion is affected by gravity and is described by the equations for an object in free fall. To describe it, choose a suitable origin, O and the axes (Figure 9). Let vo denote the initial velocity and ? the angle between vo and the positive x-axis. Figure 9 From diagram, the motion can divide in two components, horizontal (x-axis) and vertical (y-axis). Two assumptions: o The free-fall acceleration, g is constant over the range of the motion and is directed downward. (-g) o The effect of air resistance is negligible that is the horizontal motion has zero acceleration. x-component 0 vxo = vocos? 0 = 0 vx x y-component -g vyo = vosin? yo = 0 vy y Acceleration Initial velocity Initial position Velocity Position ASD 2011/12 KINEMATICS 19/23 PPH0095 MECHANICS From this, one can show that: Vertical component (y-component): Vertical velocity component: v y = v yo gt = v o sin ? gt Vertical position component: 1 1 y = v yo t gt 2 = (v o sin ? )t gt 2 2 2 *from v = vo + at *from y = v o t + 1 2 at 2 At maximum Height, H, the vy = 0. 2 From, v = vo + 2a y 2 0 = (v o sin ? ) 2 ? 2 gH H= v0 sin 2 ? 2g 2 If T is the time taken from O to A, to find the T, y = 0, t = T From, y = v o t + 1 2 at 2 1 gT 2 2 0 = (v o sin ? T ? T = 2v o sin ? g Horizontal component (y-component): Horizontal velocity component : vx = vxo = vo cos ? Horizontal position component : x = vxot = (vo cos ? )t To find the horizontal Range, R, t = T, x = R ASD 2011/12 KINEMATICS 20/23 PPH0095 MECHANICS From x = vo t + 1 2 at ,a =0 2 ? 2v sin ? ? ? R = (v o cos ? )? o ? ? g ? ? R= v o sin 2? g The maximum horizontal range is achieved when ? = 45o. At any time the distance, r of the projectile from the origin is r = x 2 + y2 By eliminate, the trajectory (the relation between x and y) is a parabola, Vertical position component : y = (v o sin ? )t 1 2 gt 2 Horizontal position component : x = (vo cos ? ) t x t = v o cos ? ? x ? 1 ? x ? y = (vo sin ? )? ? v cos ? ? ? 2 g ? v cos ? ? ? ? ? ? o ? ? o ? g x2 = (tan ? )x ? 2 2 2vo cos ? = x tan ? ? gx 2 sec 2 ? 2 2v 2 gx 2 y = x tan ? ? 2 (1 + tan 2 ? ) 2v ASD 2011/12 KINEMATICS 21/23 PPH0095 MECHANICS Since sin 2? = sin (180o 2? ), there would be two angles of projection, ? and (90o- ? ), that would achieve a particular range R for a certain speed of projection vo . For the speed of projection vo , however, the maximum range is obtained only when the angle of projection is 45o as shown in Figure 10. Figure 10 2. 13 UNIFORM CIRCULAR MOTION An object that moves in a circle at constant speed is said to experience uniform circular motion where the magnitude of velocity remains constant the direction of velocity continuously change Acceleration is defined as the rate of change of velocity. The rate of change of velocity depends on the change in direction as well as the change in the magnitude . Therefore, object revolving in a circle is continuously accelerating (even when the speed remains constant). An object moving in a circle of radius r with constant speed v, has an acceleration whose direction is toward the center of the circle and whose magnitude is given by the formula 2 aR = (Please refer to text book section 5. 2, pages 120, how to get this equation) v r ASD 2011/12 KINEMATICS 22/23 PPH0095 MECHANICS v1 aR aR v1 Figure 11 The acceleration vector always points toward the center of the circle. The velocity vector always points in the direction of motion (tangent to the circle or perpendicular to the radius of the circle). Circular motion is often described in terms of the frequency f as so many revolutions per second. The period T of an object revolving in a circle is the time required for one complete revolution. T= 1 f v= 2? r T END OF CHAPTER 2. ASD 2011/12 KINEMATICS 23/23

Being Independent

Most people like to believe that they are independent-free of a pack, their own person, unswayable by peer pressure. Is this actually true? Some philosophers and sociologists actually believe that there is wisdom in crowds and that many people are guided through life by a sense of wanting to belong. So which is actually true? How many times have you heard the sentence Im an individual, just like everybody else! Or My friends and I are all individuals. We just agree a lot. The fact of the matter is that most people seek out a crowd or a tribe of like minded people to belong to. The sentence Im an individual just like everybody else is just about as popular as the idea that no man is an island. When it comes to independence, many people try to strike a balance. In America, children and adults alike seek out like minded individuals to form alliances with. These friendships and relationships are based on a common philosophy or ideology and while this sameness is the reason for the bond, the individual parties struggle to retain their individual independence. This can often lead to a sociological kind of nomad-ness as people drift from group to group trying to find the best fit for themselves. Politically speaking, independence is what happens when a new nation is formed and declares itself free of the laws and rules of the country that it used to belong to. The United States declared its Independence from England a couple of centuries ago, Bolivia declared its independence form the Ottoman Empire-the list of independence declarations is as long as history itself. Much like individuals, nations that declare their independence immediately try to model their rules and regulations upon other models that they admire. They build themselves up while searching for other nations to form allegiances with-nations that they can trade with, fight with and, ultimately, live with in harmony. Even in a broad sense, the need to belong and forge relationships wins out over complete independence. There is not one nation that does not interact with the rest of the globe in at least a few capacities. The truth of the matter is that political independence is starting to slowly become less important. While each nation wants to retain an individual identity, thanks to things like global trade and the free exchange of ideas, the relationships between nations are getting tighter. Many people call this the shrinking of the world as individual nations give up their independence to be a part of the global community. In conclusion, it looks like true independence isnt true at all. Independence is declared in a number of degrees-a need to retain ones individual sense of self while still belonging to a group. Nobody wants to be left alone completely. Even those who say that they are more comfortable spending time alone still have a few relationships that they rely on. For more information on independence, visit  http://

My Uncle's Addicted To Illegal Drugs Essay Example | Topics and Well Written Essays - 750 words

My Uncle's Addicted To Illegal Drugs - Essay Example That is the delinquent is not punished for abusing the drug, but for the actions committed whilst under its influence. Since the most controversial drug at the moment is marijuana this paper will limit itself to the examination of this narcotic. The Legalise Cannabis Alliance is a UK based political organization committed to the legalization of marijuana. It seeks to have marijuana and marijuana products removed from the UK Misuse of Drugs Act and that possession, cultivation and use of marijuana or its products should be free from prosecution. It argues that marijuana can be used to produce cost-free fuel through the process of pyrolysis on marijuana biomass. Further, it believes that the prohibition of marijuana infringes Human Rights. â€Å"Prohibition†¦goes beyond the bounds of reason in that it attempts to control man’s appetite through legislation and makes a crime out of things that are not even crimes†¦. A prohibition law strikes a blow at the very principles upon which our Government was founded.† (cited in Legalise Cannabis Alliance manifesto.) However, this is a very high end argument. It is philosophical and many times removed from the misery endured by those who abuse drugs and those who have to take care of drug abusers. It takes no account of the human or financial costs of drug abuse. The case for marijuana however is special. There are many myths about marijuana. According to the Legalise Cannabis Alliance website in 1999 the US Institute of Medicine concluded that marijuana is not addictive, it is not a gateway drug, it is not a dangerous drug and it does have medical uses. Why then is it outlawed? There are people who believe that the ‘war on drugs’ itself is adding to the human and financial costs, and that it would be wiser to stop fighting the war altogether. For example, Legalise Drugs – a pro-legalization, anti-drug organization

Issue paper with support on maintaining cultural diversity, consider Essay

Issue paper with support on maintaining cultural diversity, consider those against and write their views put me in support position with positive part of it - Essay Example One is in full support for maintaining cultural diversity for the following reasons: (1) it encourages the exchange of more variety of ideas, opinions, and points of views that increases opportunities for greater knowledge; (2) members of culturally diverse communities or organizations acknowledge that no one particular cultural value is better than others; (3) increased interaction among members would contribute to â€Å"more frequent and effective working relationships among those who have mutual interests† (Smith et. al. 1); (4) new ideas are produced, communications are improved and bridges are built to the people needing services (Smith et.al. 1); and (5) provides greater chances for emergence of innovative ideas and therefore facilitates generation of more alternatives to solve problems. Those who oppose maintaining cultural diversity contend that: (1) there would be potential tendencies to lose awareness and adherence to traditional cultural values; (2) there could be more conflicts due to disparities in beliefs, practices, and traditions; (3) there are more misunderstandings which delay effective communication process and decision-making; and (4) in organizations and work groups, maintaining cultural diversity would necessitate managing it which would be more costly and time consuming (Gadget 1). The benefits of maintaining cultural diversity far outweigh any costs or disadvantages associated with it. Therefore, one strongly believes that cultural diversity should be maintained and managed for the greater benefit of a greater number of people. Diversity and Cultural Competence Reporting Requirements, Minimum Standards and Benchmarks for Victoria Health Services Project. 2009. Web. 01 February 2012

What do you understand by the own-price elasticity of demand for a good

What do you understand by the own-price elasticity of demand for a good? 1. (a) What do you understand by the own-price elasticity of demand for a good? (b) Will a linear (straight line) demand curve have a constant own-price elasticity of demand? Explain your answer. (c) Following the terrorists attacks in the USA on 11 September, there was a marked fall in business travel. In respomse, many hotels cut their prices to business travellers; for example the Hyatt Hotel group offered discounts of up to 50 per cent off regular room rates. Under what circumstances would this lead to increased revenue for these hotels? Before we define the meaning of the own-price elasticity for a good we must understand elasticity and its concept in general. Elasticity is basically a comparison between the sizes of change in the quantity demanded, in the case of the own-price elasticity, of a certain good and in the variable that caused this change. According to Mankiwelasticity is a measure of the responsiveness of quantity demanded or quantity supplied to one of its determinants. The law of demand implies that an increase in a price of a good will subsequently lead to a fall in the quantity demanded for that good. The formulae which calculates this amount is the division of the percentage of change in quantity demanded by the percentage of change in price. The sign of price elasticity of demand, and elasticity as well, is always going to be negative due to the fact that quantity and price demanded are usually in opposite directions. Elasticity is going to be negative as well since neither the percentage change in price nor the the percentage change in quantity ar... ...sequent repurcusion this had in economy as a whole brought a downfall in business travelling. The hotels in order to manage this crisis effectively reduced their prices and offered discounts in order to increase the quantity of customers visiting them. If we consider the law of demand in this case, hotel reservations should increase in this period as well as the total revenue of the business but this would happen when the price elasticity of demand is elastic. This happens when the percentage change in quantity is larger than the percentage change in price. Concluding, we would easily say that it is assume that the hotels would increase their total revenue with discounts and better prices but this is not always the case. There are other factors influencing customer behaviour after these terrorist attacks that would not be easily predicted or affluenced.