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.

The Evolution and Potential Eradication of Cyber-crime in the Nigerian Banking Industry, using GTB as a case study.

Background to Project Over the years, the use of information communication technology has had a dramatic impact on almost all areas of human operation including, in particular, the banking and finance sector. To a certain extent, ICT can be seen to have simplified many of the business processes; however, it has also created a new breed of criminal activity, many aspects of which are aimed at the banking sector, for example, credit card fraud, identity theft and ATM fraud, as well as other related information technology issues (Singhal & Padhmanabhan, (2008). The proliferation of e-banking has offered opportunities in countries such as Nigeria to become much more global in its operation and yet it has also opened up the jurisdiction to a broad range of cyber-crimes, which will be the focus of the analysis in this research. E-banking is not limited to the more developed countries and, arguably, can be seen to transcend many of the jurisdictional borders, with countries which are developing, such as Nigeria, being able to trade internationally in a way that was not possible, previously. However, this opportunity also presents challenges, particularly when it comes to establishing systems that will prevent or limit cyber-crime. Problem Specification E-banking in Nigeria is still largely seen to be in its infancy, with the majority of banks using information technology as a means of providing information, rather than creating an interactive banking arrangement (Howard et al 2008). To a certain extent, it could be argued that this relatively low level of take-up for e-banking in Nigeria may be attributed to the insecurity and the failure of the technology to keep pace with the needs of the public, if they are to fully engage with internet banking and all its ramifications (Chiemeke, Evwiekpaefe, & Chete, 2006). Crime and corruption within the banking sectors have created a particular concern for businesses across Nigeria, which indicates that dealing with the area of cyber-crime is critically important and needs to be tackled, if Nigeria is to be able to develop as a strong international economic jurisdiction capable of attracting investment and stability. Research Aims and Objectives The overall aim of this research is to look at the evolution of cyber-crime in Nigeria and to explore ways in which it can potentially be managed, or even eradicated. In order to achieve this over-riding aim, several smaller research objectives have been identified. Firstly, it is necessary to gain an historical understanding of the Nigerian banking industry and to ascertain the ways in which the industry has operated, prior to the use of information technology, and how information technology has impacted upon the banking sector, to date. Secondly, an analysis of the current cyber-crime control processes will be undertaken, looking at a range of different banks and how they look towards managing and controlling cyber-crime (Computer Crime Research Center 2009). The research will then move on to compare banks in other regions, such as the United Kingdom and the United States, with a view to establishing whether there are additional ways in which cyber-crime could be managed more efficiently, by looking at the various different means whereby cyber-crime is managed in these other jurisdictions. The findings can then be looked at in the context of the problems being faced in Nigeria, and potential options explored. A specific case study of GTB will be used, in order to explore the issues raised above, before ultimately suggesting how the Nigerian banking sector can improve its position and reduce the level of cyber-crime, to such an extent that it is likely to improve the stability and trust within the banking sector. GTB in particular has been the subject of much discussion due to several high profile fraudulent activities that have raised the issue of managing cybercrime in Nigeria (Shittu, 2010). Offering this guidance is a critical element of the research as it will offer guidance on how to manage the difficulties being raised by the Nigerian banking industry. Research Methodology The research approach will be inductive in nature in that it will look at a wide variety of ideas and observations with the view to ultimately establishing a theory and a framework that can be relied upon to develop the future of the Nigerian banking industry. In order to achieve this, both quantitative and qualitative analysis will be undertaken. However, this will primarily involve looking at the data associated with cyber-crime, in the region, as part of the secondary research and then going on to undertake a case study, to improve the understanding of where the data has originated from, and in order to bridge between the theory and practical reality of cyber-crime, in the region. Resources Resources will primarily be derived from journals and reports dealing with the area of cyber-crime, in Nigeria, although it will also be necessary to undertake primary research with the employees of the case study bank, i.e. GTB. Suggested references to be used as a starting point are listed at the end of the proposal. Constraints Potential issues may emerge when it comes to collecting accurate data, as issues related to cyber-crime rates can be commercially sensitive, thus making it harder to ensure that the data and the subsequent analysis are accurate. It is also necessary to recognise that issues relating to cyber-crime are likely to change, very rapidly, making the research quite time-specific, in terms of its value. Gaining detailed primary research by interviewing employees may also present a problem, as employees are unlikely to be prepared to speak openly, for fear of any comeback from their employer. Projected Schedule The research will take place over one academic year, which actually spans a total of nine months. It is anticipated that monitoring the case study bank will take the longest period of time and therefore this is central to the timing and is recognised as such in the chart below. M1M2M3M4M5M6M7M8M9 Background Research Literature Review Case Study Analysis and Write-up Proofread and Presentation References Adeloye LA (2008). E-banking as new frontiers for banks. Sunday Punch, September 14, P. 25. Chiemeke, S. C., Evwiekpaefe, A. and Chete, F.(2006) The Adoption of Internet Banking in Nigeria: An Empirical Investigation, Journal of Internet Banking and Commerce, Vol. 11, No.3, Computer Crime Research Center 2009. Preventive Measures for ATM frauds. http://www.crimeresearch.org/articles/preventive measures-ATMFraud, Howard, R., Thomas, R., Burstein, J., & Bradescu, R. (2008). Cyber Fraud Trends and Mitigation, 9–24. Litan, A. (2004). Phising attack victims likely targets for identity theft. Available: http://www.gartner.com/DisplayDocument?doc_cd=120804 Longe, O.B.& Chiemeke, S.C. (2008): Cybercrime and Criminality in Nigeria- What roles are internet Access Points in Playing. European Journal of Social Sciences, Volume 6 No 4 Ogunsemor AO (1992.) Banking services: The emergence and impact of electronic banking. The Nigerian Banker, January – March, 1992. Omankhanlen O. (2009). ATM fraud rises: Nigerians groan in Nigeria. Daily News, Sunday, June 21, pp.8-10. Shittu, O., Submitted, P., The, T. O., Of, F., Akintola, L., State, O. Y. O., Fulfilment, I. N. P., et al. (2010). The Impact of Electronic Banking in Nigeria Banking System (Critical Appraisal Of Unity Bank Plc ), 1–62. Singhal, D., & Padhmanabhan, V. (2008). A Study on Customer Perception Towards Internet Banking : Identifying Major Contributing Factors, 5(1), pp. 101–111.

Effects of Prostitution - 3140 Words

Book Review: Teen Prostitution Johnson, Joan J. Teen Prostitution. New York: F. Watts, 1992. Print. Ones adolescent stage is viewed as innocent and pure. However, a multi-million dollar industry within our world strips teens from their youth and leaves them fighting for their lives. Children as young as 10 are working the streets as their life style revolves around prostitution. United States of America implies an image that any individual can live a life filled with money. However, not everyone reaches this â€Å"American Dream†. Those who were not born into money know the hardships of the streets and the feeling of desperation and loneliness. Societies youth fall victim to prostitution as an†¦show more content†¦Johnson stresses how abused children would rather sell their bodies than stay within a home where they feel abandoned and where they are surrounded by violence. Therefore, teens take drastic measures and find themselves on the streets, barely clothed, and turning tricks for a few dollars. In Elaine Landau s, On the Streets, Landau reveals that around 85 percent of those who run away from there abused parents are most likely to become involved in prostitution. In a global scale approximately 2 million teens run away each year and 20 percent of these teens become full-time prostitutes. It is clear that with Johnson s collected data she declares that abused teens not only face psychological hardships, but they are most likely to take part in hard-core prostitution. These teens have now formed dependency among there pimps and â€Å"sugar daddies†. Johnson goes into depth when discussing the forms of abuse that can ultimately destroy a child and force them to grow up into the world of prostitution. Johnson demonstrates four forms of abuse that can take place within one s childhood and adolescent stage. One of Johnson s evidence for why teens result to prostituting is because most of these teenagers have originated from abusive homes. An abusive home can include parents that show little to no interest to their offspring or can be considered as irresponsibleShow MoreRelatedProstitution And Its Effect On Society1552 Words   |  7 Pagesthe â€Å"victimless crime† of prostitution between consenting adults be free from governmental interference? To discover the answer to this question, I will be doing some research on this topic to further explicate on the situation at hand. The featured topics that will be discussed in this paper is the history of prostitution, a recognition of contrary positions, the passing of legislation in three U.S. jurisdictions pertaining to prostitution, three examples of prostitution enforcement, my opinion onRead MoreCauses And Effects Of Prostitution956 Words   |  4 Pages Prostitution is taking part in sexual acts in return for cash. In reality, prostitution is a type of viciousness against older ladies and young ladies. While there are little quantities of undermined men and younger men, they are limitlessly dwarfed by undermined ladies and young ladies. The individuals who buy sex are quite often men. Prostitution is physical, sexual and psychological mistreatment incurred on ladies by men. Three causes of prostitution which include: individuals who are drivenRead MoreProstitution And Its Effects On Society2159 Words   |  9 PagesIn the United States of America, prostitution is illegal in forty-nine of the fifty states. In most countries worldwide, prostitution is illegal. Despite this, prostitution is still active in every single state, and every single part of the world. Sex work plays a key role of the sexism in American, and worldwide cultures. The criminalization of prostitution has created an underworld of illegal activity, that has traumat ic consequences on an estimated one million prostitutes. This criminalizing alsoRead MoreCauses and Effects of Prostitution757 Words   |  4 PagesA. Prostitution in the Philippines 1. Propagation of prostitution during the time of the Spanish Colonization in the Philippines ïÆ'Ëœ The rape of native women by the Spaniards created a reserve of â€Å"fallen† women who became available to service not only the homesick Spanish troops and dignities, but also the friars. ïÆ'Ëœ By the 19th century, prostitution was an occupation for women in Manila. 2. Prostitution during the time of the American Occupation in the Philippines ïÆ'Ëœ The outbreak of the Philippine-AmericanRead MoreThe Effect of Legalizing Prostitution on the Economy1359 Words   |  6 PagesThe Effect of Legalizing Prostitution on the Economy Our Nation has been under immense fire lately. This is mainly because Americas Government is over a trillion dollars in debt. We are in one of the worst recessions that America has ever been and in danger of creating a double dip recession. Jobs are nowhere in sight. People continue to get laid off and even worse people who have been laid off are losing their unemployment benefit. The unemployment rate is through the roof and nobody can findRead MoreThe Negative Effects Of The Legalization Of Prostitution993 Words   |  4 PagesShea Pedro May 9, 2016 ENG2D1-06 Mrs. Galati The Negative Effects of the Legalization of Prostitution in Canada Prostitution is an excuse for someone to degrade someone else s body and exploit them. In the alleged business of prostitution, a man usually pays a women in exchange for sex. By legalizing prostitution and taking away the legal barriers, the morals and principles of people are challenged. Therefore many people may believe it is acceptable to take advantage of vulnerable women in exchangeRead MoreProstitution And Its Effect On Society Essay1630 Words   |  7 Pagesopportunity for the corrupt to create victims. Prostitution has been practiced in all ancient and modern cultures. In the United States, prostitution was originally widely legal. Prostitution was made illegal in almost all states between 1910 and 1915 due to the influence of the Woman s Christian Temperance Union which was influential in the banning of drug use and was a major force in the prohibition of alcohol. In 1917 the legally defined prostitution district Storyville in New Orleans was closedRead MoreProstitution An d Its Effect On Public Health Essay1495 Words   |  6 PagesProstitution is defined as â€Å"the practice or occupation of engaging in sexual activity with someone for payment.† It is commonly referred to in the media and among society as the â€Å"oldest profession in the book†. This is easily explained by the ancient references that are present in religious tales of the Old Testament in the bible to modern day â€Å"red light districts† across the United States. Prostitution and its legality have always stirred up a mixture of emotions across countries, cultures andRead MoreProstitution And Its Effect On Society886 Words   |  4 Pages$100 billion each year,† says the literary criminologist R. Barri Flowers. Prostitution is described as the act of having sexual intercourse in exchange of money or basically commerce of sex. People engaged in this type of activity are called prostitutes or simply sex workers. In today’s societies man and woman can both be sex workers although woman have been predominantly and pejoratively called prostitute. However, prostitution criminalization or decriminalization has been raising debates in many societiesRead MoreNegative Effects Of Prostitution1376 Words   |  6 Pagesthey chosen this life and how it affects them. I wanted to do a research to see what I can find on if prostitution was to be legal will it affect them socioeconomically, but in a positive way rather than negative. Even though prostitution seems to be a big deal in the 21st century, little do society knows prostitution has been here for many centuries. A little history about prostitution is that it’s been around so far as 2400 BC, it is known as the oldest profession. In ancient Greece