Investigating the acceleration Essay Example for Free

Investigating the acceleration Essay The aim of this experiment is to investigate the motion of a trolley on a plane and compare the results with a mathematical model. Models Assumptions   No Friction When creating the mathematical model I am going to assume that there is no friction acting upon the trolley. This is due to the fact that the trolley will be running upon a smooth plane, which offers no resistance. The trolley is also constructed upon wheels, which minimises the affects of friction between wheel and surface if any. Furthermore the track used for the trolley is specifically designed for the trolley, therefore reducing friction even more. Smooth Pulley The pulley over which the weights pulling the trolley will be passing through, will be smooth. This is for the reasons that the most costly and smoothest pulley available to me will be used. Therefore this should not also provide any resistance, which may impede the flow of motion.   Inextensible String The string, which will be attached to the trolley to accelerate it, will be inextensible, i. e. the string used will not be elastic. Flat Surface The plane over which the trolley is going to be run must be flat, i. e.it must not be slanted up or down or to a side, or else gravity will also be playing a major part in the acceleration or deceleration of the trolley. To ensure the track is flat I placed a ping-pong ball on the track. If the ball rolled up, down or to a side then I would know that the track is not flat and would adjust it in accordance with the motion of the ping-pong ball. String not at an angle The string running off the trolley should be parallel to the track. This is due to the fact that a non-parallel string would be pulling the trolley down as well as forwards. Pulling Forwards = ? Cos ? Pulling Down = ? Cos ? No Swaying In the mathematical model I am going to assume that the falling mass does not sway. This uses the same concept as the rope not being parallel to the trolley. If the mass sways, the falling mass is not using its full potential. Pulling Down = m Pulling Sideways = m Cos ? Negligible Air-Resistance This is due to the unique construction of the trolley; low frame, compact design and no extended parts or objects disrupting the aero-dynamics. Conduct To mimic the real life situation of the motion of a trolley on a plane I am going to use a trolley of mass ranging from 498g to 1498g, which will be run upon a set of smooth tracks. To accelerate the trolley a light inextensible string will be attached to the trolley, which will then be run over a smooth pulley. At this end of the string masses ranging from 20g 80g will be attached which will accelerate the trolley. The mass of the trolley will also be changed. The length of the track will always be kept at 1 metre and the time taken for the trolley to travel the metre will be recorded. While conducting the experiment I realised that clamp holding the pulley covered 1cm of the track. Therefore when carrying out the experiment I released the trolley from 1.1m along the track, giving the trolley its 1m course to run. Accuracy To ensure accurate and reliable results a set of fixed rules must be followed. The length of the track will always be kept to 1 metre. Also three separate readings will be recorded when measuring the time taken for the trolley to travel the fixed metre. Furthermore I am going to ensure that the track is flat, i. e. it is not slanted up, down or to a side, else gravity will also be acting upon the car. Mathematical Model To create the mathematical model I am going to use Newtons second law, which states, The change in motion is proportional to the force. For objects with constant mass, as is the case with this experiment, this can be interpreted, as the force is proportional to the acceleration. Resultant force = mass   acceleration This is written: F = ma The resultant force and the acceleration are always in the same direction. If I use the equation of Newtons second law F = ma and transpose it into the form y = mx + c where the gradient of the graph is gravity. F = ma mg T = ma T = Ma (Substitute into mg T = ma) mg Ma = ma mg = ma + Ma mg = a (m+M) a = g (m/m+M) a = g (m/m+M) + 0 y = m x + c This graph should pass through the points (0,0). To work out acceleration for the mathematical model using the above formula. Mass of trolley (M) = 498g Mass of weight (m) = 20g Distance = 1m a = g (m/m+M) + 0 a = 9. 81 (20/20+498) a = 0. 38 ms-2 All the accelerations have been worked using the above technique and have been presented in the table of results below. Mass of Trolley (g) Mass of weight (g) Distance (m) Acceleration (ms-2) 4 Experimental Results To work out the acceleration for the actual experiment I am going to use the equations of motion, Analysis As can be seen from the graphs the mathematical model, models the actual experiment fairly well until the m (mass of weight) is increased such that the trolley is travelling too fast to ensure accurate timing. Consequently on all three graphs the line of best fit starts from the origin and then gradually veers away from the mathematical model. On the graph of results for M = 498g, it is observable that the actual experiment models the math model reasonably well, until m is 60g. Thereafter, for m = 70g 80g, the trolley is travelling too fast to ensure precise timing hence the big error bars. Therefore I have not taken those two results into consideration when drawing the line of best fit through the points. Furthermore when working out the acceleration for the experimental results I had to square the timing, (i. e. t2) hence doubling the error in timing. The other two graphs of M = 998g 1498g, there are no anomalous results. I think the reason for this is, because of the increased weight of the trolley; the trolley will clearly be travelling slower, hence giving more accurate and reliable timing. The gradient of the line in all the graphs should be in theory 9. 81, but this clearly is not the case. Thus I am going to work out the gradient of the lines and compare it with the math model and observe how well the two compare with each other. As can be seen from the above results the math model did fairly well to model the real life situation of two connected particles. The model I designed does not match the results I obtained in the experiment. This is because either I overlooked some variable quantities or the initial assumptions were flawed. On the other hand it may have been the procedure, which was at fault. In any case all these must be investigated into further. Each assumption ought to be scrutinized independently to deduce whether it is viable with regards to the experiment, in that, some assumptions were unnecessary and others were not made. I think that if the experiment had been conducted in a vacuum and I used air-tracks the experiment would have been a lot more successful.

An Analysis of the Final Passage in Chopin’s The Awakening :: Chopin Awakening Essays

An Analysis of the Final Passage in Chopin’s The Awakening As this passage commences, Chopin, through Edna’s thoughts, describes the seemingly endless sea that presents itself before her. Edna, through personification, shows the intimacy of her relationship with both nature and the sea. This large, â€Å"[†¦] never ceasing [†¦]† (Chopin 139) body of water has entranced and enthralled Edna to the point where she is now beginning to see this natural element that amazes her so much as the only option left to her in life. Chopin reveals these intentions to the reader by describing the sea as â€Å"[†¦] inviting the soul to wander in the abyss of solitude† (Chopin 139). The word abyss in itself leaves the reader the impression of a mysterious place in which one might not return from; and it is later implied that Edna accepts this sensuous invitation from the sea. In this final passage, Chopin seems to emphasize words describing the ecstacy of solitude that Edna encounters in her final visit to the sea. When Edna speaks of there being â€Å"[†¦] no living thing in sight† (Chopin 139) around her, her thoughts never stray to a memory of her past experiences, acquaintances, or even emotions. Even when Edna sees her bathing suit from the past summer, her thoughts remain fixated on solely the unending sea that lies before her. Chopin also uses Enda’s encounter with her old bathing suit to show how distanced Edna is from her former life. Edna, seeing the garment, describes the former piece of clothing as being faded. As the color has fled from this garment, similarly has Edna’s soul fled from her former life. Edna originally begins to put the bathing suit on, however, the garment, seeming unpleasant to her skin, is almost immediately cast off. This garment, representing Edna’s former life, also shows how foreign Edna’s past life seems to her presently. Edna is so far removed from her former life, in fact, that the garment is shown as being physically irritating to her skin.

Life partner Essay

Characteristic mostly considered by men when choosing a Woman as their Life Marriage is a sacred contract between a woman and a man. It is where a couple begins the long journey of life with shared love, harmony, cooperation, tolerance and comfort with each other. The Commitment of marriage is one of the most recommended acts in Islam. The Qur’an has described this relationship between men and women, which brings love, harmony, trust and compassion, in the most moving and eloquent terms: â€Å"( And among His Signs is this, that He created for you mates from among yourselves, that you may dwell in tranquility with them, and He has put love and mercy between your hearts)† (Qur’an 30:21) Therefore selecting a life partner is one of the most crucial decisions that we have to make in our lifetime, because marriage is a lifelong commitment where you will face difficulties in life. A couple should be able to tackle the daily problem they will face in raising a family. Both the husband and wife play their own prominent role in building a happy family. . One of the main tasks of a wife is build a respectable family to the society. Hence, a man should think carefully when selecting a woman to be his wife, a mother to his children and the main pillar in his family. This report consists on man’s perspective of selecting a life partner. Further, the report will show the characteristics that he will look into before selecting his life partner Religious One of the most important characteristics is finding a religious woman. The righteous woman is the foundation of a healthy family. Allah (swt) states, â€Å"Women of purity are for men of purity, and men of purity are for women of purity† [24:26]. The Prophet (pbuh) said, â€Å"Do not choose a wife for her wealth or beauty. Her wealth will cause her rebellion, and her beauty will cause her corruption. You must consider her faith and religiousness for marriage† [Mustadrak al-Vasa’il, On Marriage Ch. 13]. A righteous woman is the greatest blessing that a husband can get. He can find comfort and rest after the exhausting struggle of earning a living. If the woman is religious then only the family will be brought up in the light of Islam. Beautiful Human being has a tendency of attracting to pleasant things. Most of the  time, the first thing a man tends to see in a woman is her beauty. Sometimes the perfect figure, the soft skin, the mesmerizing eyes makes the man blind of what is beneath the outside appearance. The real beauty of woman is not her physical appearance, the true beauty lies within inner self. A Man would rather get to know a woman and discover that her heart is pure and caring. For example, a beauty contest winner can be a cruel person. Therefore, her beauty is of no use to others if she is ill-treating to others Obedient and respectable A woman must be obedient and should respect her husband. She should be always eager to please him and make him happy. She should be happy to help him in different stage of life. An ideal wife should be someone who is willing to do the household work despite poverty and hardship. For example; if the husband is very poor, the wife should not be complain about buying unnecessary thing. The woman must have respectable character, which the society expects. She should practice and follow cultures and values accepted in the community such as a married woman should show modesty in clothing. Understanding In every marriage there comes times when there are differences in opinions, problems relating to financial, raising children, sickness. During these times, the couple should tackle the problem by respecting each other’s feelings and through open communication. The woman should be willing to listen to her husband and understand the situation instead of making the problem worse. For example; as in a famous idiom â€Å"making a mountain out of a mole†, A couple might be arguing about each other’s political view and that disagreement may lead to a divorce. In a healthy marriage, the couple should be able to understand each other’s behavior and accept that nobody is perfect. The woman should be able to comfortably talk and share her wants and suggestions to her husband. The bond between the husband and wife should be based on mutual trust. Therefore, the ideal wife should be trust worthy. Conclusion. As an old saying, â€Å"Behind every successful man there is a courageous woman†. Hence, a man can choose his life partner wisely. The task on a man’s hand in  choosing the ideal wife is not an easy job. The decision should be taken with immense thinking. The must -have characteristics must be given great emphasis in order to make the marriage life prosperous and fruitful. The decision a man takes today will affect his children in the future. REFERENCE LIST Islamic voice Retrieved August 1998 Retrieved 25-February-2012 from http://www.islamicvoice.com/august.98/marriage.htm The Ideal Muslim Woman and Her Husband Retrieved August 1999 Retrieved 28-February-2012 from http://www.wefound.org/texts/Ideal_Muslims_files/herhusband.htm

The Great Gatsby By F. Scott Fitzgerald - 1096 Words

Daisy happily went with Gatsby and seemed excited to ride in the coupe with him. The heat clung on to Tom’s brute personality and was making him frustrated on anything. Jordan and Nick rode with Tom in Gatsby’s flashy yellow car. Hearing his wife’s excited cries of laughter drowning in the sounds of the blue coupe’s roaring engine, Tom drove to catch up. Tom was angry and told Jordan and I what he found out on Gatsby s character. I couldn’t bear his bruteness any longer and told him that I really didn’t care what he thought any longer. Jordan, looked at me with such a deep surprise and laughed off the awkwardness that followed quietly behind. We stopped at the gas station and Wilson was no longer to be found. Tom rushed out and roared at the door and then we heard Myrtle screaming at her sick husband â€Å"No! I will not go with you!† Tom broke down the door and Jordan and I watched dumbfoundedly, as we did not know what to do with our selves, but what watch. We heard a crash and Tom came out with Myrtle and we took her to the apartments that Tom bought them. Jordan decided to mention where Daisy and Gatsby were and Tom recollected himself and abruptly left Myrtle and promised her that he would go back for her. Tom phoned Daisy and we met up with the two at the Plaza hotel. The intense heat crept on the fancy clothes. Any second longer and I was sure that the room would be inflamed. Gatsby cool looks longingly stared back into Daisy’s eyes and they both looked like theyShow MoreRelatedThe Great Gatsby by F. Scott Fitzgerald1393 Words   |  6 PagesF. Scott Fitzgerald was the model of the American image in the nineteen twenties. He had wealth, fame, a beautiful wife, and an adorable daughter; all seemed perfect. Beneath the gilded faà §ade, however, was an author who struggled with domestic and physical difficulties that plagued his personal life and career throughout its short span. 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