Thursday, October 31, 2019

Medieval Spanish Literature. Topic Proposal. Annotated Biblio Research Paper

Medieval Spanish Literature. Topic Proposal. Annotated Biblio - Research Paper Example Since women were looked down upon in Medieval Spain as their lives having less value than men, it is interesting how Estrella Tabera reverses the societal expectation of her to be only a lady of the night—and how she ends up garnering power, wealth, and prestige with the paramour of Sancho IV pursuing her in the play, and Philip IV pursuing Francisca de Tabara in real life. It is no surprise, then, that Estrella Tabera, being a sort of outcast in Medieval Spain, is able to reimagine the role of seductress and have a revolutionary leitmotif for women everywhere. II. Thesis (50 words) It is thought that, how we know and based on what we know of The Star of Seville, that: Philip IV is represented by the fictional character Sancho IV; Francisca de Tabara is represented by the fictional character Estrella Tabera; and that Villamediana is represented by the fictional character Busto. III. Annotated Bibliography (500 words) Source Citation: De Armas, Frederick Alfred. Heavenly Bodies : The Realms of La Estrella de Sevilla. US: Bucknell University Press, 1996. ... (100 words) Contributors: Frederick A. De Armas Last Edited: 1996 Source Citation: Magill, Frank N., et. al. Masterplots. US: Salem Press, 1996. Summary: In Masterplots, Magill and Mazzano masterfully work through the cast of main characters in The Star of Seville and parse each character’s importance in the play. They analyze the plot of the The Star of Seville and talk about how the play is relevant not only for today’s audiences, but also how The Star of Seville will always be a relevant play for Medieval Spanish literature in the future. Masterplots seeks to chart a course for the reader, taking the reader on a tour through the play’s highs and lows as it tries to evaluate, simply, the play’s overall effectiveness. (100 words) Contributors: Frank Northen Magill, Laurence W. Mazzano Last Edited: 1996 Source Citation: McKendrick, Melveena. Playing the King: Lope de Vega and the Limits of Conformity. US: Boydell and Brewer Ltd., 2000. Summary: This book c ritically evaluates Lope de Vega’s works, and his delicate dance of openly criticizing the Spanish throne during Medieval times. McKendrick weaves a masterful tale of Lope de Vega’s struggle to temper subversiveness with cleverness, and use political themes overtly—but in a manner that cannot be immediately detected by the untrained eye. Lope de Vega fools the reader into thinking that he or she is reading a play about some fictional characters—when actually his characters stand for allegorical allusions to what is really going on in Medieval Spain, and we see his characters lived out in real-time. (100 words) Contributors: Melveena McKendrick Last Edited: 2000 Source Citation: Anonymous. The

Tuesday, October 29, 2019

Internship Question Essay Example | Topics and Well Written Essays - 1250 words

Internship Question - Essay Example There are numerous brands of GIS software employed in GEOINT and cyber security, namely; Google Earth, ERDAS IMAGINE, GeoNetwork open source and Esri ArcGIS. This essay focuses on the Geographic Information System capabilities of current cyber security products. In the middle of a developing awareness that the geospatial facet of IT framework can play a vital role in protecting systems and networks, several companies are creating contributions that integrate those two facets. The rational mapping of cyber-framework has been regarded a good exercise for securing and controlling data and network assets for momentarily. This sort of mapping displays how assets are integrated in cyberspace and how information is transferred from one location on the network to the other without esteem to their physical closeness. Furthermore, a geospatial facet to network mapping may appear redundant at first, because the security highlighting in past few years has been to adopt layers of software (Trendmicro, 1). Geospatial technology can be implemented anywhere in cyberspace from a central control setup. Comprehending the coming together of cyber security and geospatial intelligence starts with the fact that not all attacks to IT infrastructure happen in cyberspace. Deeds of damage or combat or natural calamities can have an effect on wide-ranging systems and networks. Understanding where these are happening in the geographical world allows companies to repair them and work around bleached infrastructure constituents until they are repaired. It also facilitates companies to implement geographical 2fences to cyber-assets (Buxbaum, 1). Apart from that, integrating cyber security with geospatial enables a much more complex comprehension of systems and their attacks and liabilities than the rational mapping. Identifying the geospatial site of the source of a threat can give hints about who are the perpetrators of

Sunday, October 27, 2019

Expressions for Velocity of Sound in Different Media

Expressions for Velocity of Sound in Different Media VELOCITY OF SOUND WAVE IN STRINGS: The velocity, V of a sound wave in strings is given by the expression. V= , = mass per unit length or linear density = Where r =radius of the wire, = density of material of the string or wire and T = tension VELOCITY OF SOUND WAVE IN SOLIDS The velocity, V of a sound wave in a solid is given by the expression: Where E = Young’s modulus of the material, = density of the solid or material. VELOCITY OF SOUND WAVE IN LIQUID The velocity, V of a sound wave in a liquid is given by the expression: Where B = Bulk Modulus of the liquid, = density of the liquid. VELOCITY OF SOUND WAVE IN A GAS The velocity, V of a sound wave in a gas is given by the expression Where M = molecular mass, R = molar gas constant, = ratio of the two specific heat capacities of a gas, P = pressure and = density VELOCITY OF WATER WAVE For deep water waves, V = For shallow water waves, V= For surface ripples, V = Where = wavelength, d = depth of water, = surface tension, =density of water, g = acceleration due to gravity. The Harmonic Oscillator Consider a simple pendulum consisting of a mass-less string of length ‘l’ and a point like object of mass ‘m’ attached to one end called the bob. Suppose the string is fixed at the other end and is initially pulled out at an angle from the vertical and released from rest from the figure below. Neglect any dissipation due to air resistance or frictional forces acting at the pivot. Diagram Note Is defined with respect to the equilibrium position. When, the bob has moved to the right. When, the bob has moved to the left. Coordinate system free-body force diagram Tangential component of the gravitational force is (1) Note The tangential force tends to restore the pendulum to the equilibrium value. If and if . The angle is restricted to the range . the string would go slack. The tangential component of acceleration is (2) Newton’s second law, , yields (3) T= (4) Simple Harmonic Motion Diagram The object is attached to one end of a spring. The other end of the spring is attached to a wall at the left in the figure above. Assume that the object undergoes one-dimensional motion. The spring has a spring constant k and equilibrium length (l). Note x>0 corresponds to an extended spring. x Therefore (5) Newton’s second law in the x-direction becomes (6) Equation 6 is called the simple harmonic oscillator equation. Because the spring force depends on the distance x, the acceleration is not constant. is constant of proportionality Energy in Simple Harmonic Motion Diagram (7) (8) It is easy to calculate the velocity for a given t value (9) And the energy associated with (10) A stretched or compressed spring has certain potential energy. Diagrams ( Hooke’s law) in order to stretch the spring from O to X one need to do work; the force changes, so we have to integrate: W= (11) Note This work is stored in the spring as its potential energy U. So, for the oscillator considered, the energy U is: U= (12) Therefore, the total energy is: (13) (14) (15) (16) Equation (16) is a famous expression for the energy of a harmonic oscillator. Note Where A is the maximum displacement. The total energy is constant in time(t), but there is continuous process of converting to kinetic energy to potential energy, and then K back to U. K reaches maximum twice every cycle (when passing through x=0)’ and U reaches maximum twice, at the turning point. Diagram0 In this graph time(t) was set to zero when the mass passed the x=0 point. Finally, we can use the principle of conservation of energy to obtain velocity for an arbitrary position by expressing the total energy position as (17) (18) (19) Example 1 A 200g block connected to a light spring for which the force constant is 5.00N/m is free to oscillate on a horizontal, frictionless surface. The block is displaced 5.00cm from equilibrium and released from rest. Find the period of its motion Determine the maximum speed of the block What is the maximum acceleration of the block? Express the position, speed and acceleration as function of time. Example 2 A 0.500Kg cart connected to a light spring for which the force constant is 20.0N oscillates on a horizontal, frictionless air track. Calculate the total energy of the system and the maximum speed of the cart if the amplitude of the motion is 3.0cm What is the velocity of the cart when the position is 2.00cm? Compute the kinetic energy and the potential energy of the system when the position is 2.00cm. Energy in waves Note Waves transport energy when they propagate through a medium. Consider a sinusoidal wave travelling on a string. The source of the energy is some external agent at the left end of the string, which does work in producing the oscillations. We can consider the string to be a non-isolated system. As the external agent performs work on the end of the string, moving it up and down, energy enters the system of the string and propagates along its length. Let us focus our attention on an element of the string of length and mass . Each element moves vertically with SHM. Thus, we can model each element of the string as simple harmonic oscillator (SHO), with the oscillation in the y direction. All elements have the same angular frequency and the same amplitude A. The kinetic energy K associated with a moving particle is: K= (20) If we apply this equation to an element of length and mass, we shall see that the kinetic energy of this element is (21) is the transverse speed of the element. If is the mass per unit length of the string, then the mass of the element of length is equal to. Hence, we can express the kinetic energy of an element of the string as (22) As the length of the element of the string shrinks to zero, this becomes a differential relationship: (23) Using the general transverse speed of a simple harmonic oscillator (24) (25) (26) If we take a snapshot of the wave at time t=0, then the kinetic energy of a given element is: (27) Let us integrate this expression over all the string elements in a wavelength of the wave, which will give us the total kinetic energy in one wavelength: (28) (29) (30) (31) (32) Note In addition to kinetic energy, each element of the string has potential energy associated with it due to its displacement from the equilibrium position and the restoring forces from neighbouring elements. A similar analysis to that above for the total potential energy in one wavelength will give exactly the same result: (33) The total energy in one wavelength of the wave is the sum of the potential energy and kinetic energy (34) (35) As the wave moves along the string, this amount the energy passes by a given point on the string during a time interval of one period of the oscillation. Thus, the power, or rate of energy transfer, associated with the wave is: (36) (37) (38) (39) Note This expression shows that the rate of energy transfer by a sinusoidal wave on a string is proportional to The square of the frequency The square of the amplitude And the wave speed. Put differently, Is the rate of energy transfer in any sinusoidal wave that is proportional to the square of its amplitude. Example A taut string for which is under a tension of 8.00N.How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60.0Hz and an amplitude of 6.00cm? STANDING WAVES Stationary Waves Stationary wave is produced if the waveform does not move in the direction of either incident or the reflected wave. Alternatively, it is a wave formed due to the superposition of two waves of equal frequency and amplitude that are travelling in the opposite directions along the string. Note You can produce stationary wave on a rope if you tie one end of it to a wall and move the free end up and down continuously. Amazingly the superposition of the incident wave and the reflected wave produces the stationary wave in the rope. A standing wave is produced when a wave that is travelling is reflected back upon itself. Antinode is an area of maximum amplitude Node is an area of zero amplitude. COMPARISON BETWEEN PROGRESSIVE (TRAVELLING) WAVE AND STATIONARY (STANDING) WAVE. Example3 A wave is given by the equation y= 10sin2. Find the loop length frequency, velocity and maximum amplitude of the stationary wave produced. solution

Friday, October 25, 2019

Argument in Favor of Euthanasia Essay -- Euthanasia, Argumentative Ess

Debate about the morality and legality of voluntary euthanasia has been a phenomenon since the second half of the 20th century. The ancient Greeks and Romans did not believe that life needed to be preserved at any cost and were tolerant of suicide in cases where no relief could be offered to the dying or when a person no longer cared for their life (Young). In the 4th century BC, the Hippocratic Oath was written by Hippocrates, the father of medicine. One part of the Oath states, â€Å"I will not give a lethal drug to anyone if I am asked, nor will I advise such a plan; and similarly I will not give a woman a pessary to cause and abortion† (Brock). For 2,400 years, physicians made these solemn promises. Until very recently the Hippocratic Oath was taken by all new physicians. It was a rite of passage. It has only been the last 100 years that there have been concerted efforts to make legal provision for voluntary euthanasia. The word â€Å"euthanasia† comes from two Gree k words, â€Å"eu† meaning good or easy and â€Å"thanatos† meaning death (all.org). Traditionally, euthanasia meant painless death or death without suffering. Today, the term has many names, the main one being mercy killing. Assisted suicide has been legally tolerated in Switzerland for many years (Kimsma). In the 1970-1980’s a series of court cases in the Netherlands culminated in an agreement between the legal and medical authorities to ensure that no physician would be prosecuted for assisting a patient to die as long as certain guidelines were strictly met. In brief, the guidelines were established to permit physicians to practice voluntary euthanasia in those instances in which a competent patient had made a voluntary and informed decision to die, the patient's suffering was unbe... ...ck. Life choices: a Hastings Center introduction to bioethics. Washington, DC: Georgetown University Press, 1995. 537. Print. Jotkowitz, Alan, S. Glick, and B Gesundheit. "A Case Against Justified Non-Voluntary Active Euthanasia (The Groningen Protocol)." American Journal of Bioethics 8.11 (2008): 23-26. Web. 30 March 2011. Keown, John. Euthanasia Examined: Ethical, Clinical, and Legal Perspectives. Cambridge, New York: Cambridge University Press, 1995. 340. Print. Kimsma, Gerrit, and Evert van Leeuwen. Asking to Die: Inside the Dutch Debate about Euthanasia. New York, NY: Kluwer Academic Publishers, 2002. 35-70. Print. McCuen, Gary. Doctor assisted suicide and the euthanasia movement. Revised Ed. Hudson, Wisconsin: G.E. McCuen Publications, 1999. 152. Print. Young, Robert. "Voluntary Euthanasia." Stanford Encyclopedia of Philosophy. Fall 2010 Edition. 2010. Web.

Thursday, October 24, 2019

In What Ways and with What Results Did 19th Century Nationalism?

During the 19th century, nationalistic thoughts began to infiltrate Europe, which eventually lead up to unifications, as well as the First World War. Nationalism began as each ethnicity began to feel a sense of individuality and identity. Nationalism was the start of independence and revolutions, even after the Congress of Vienna, which sought to continue conservative ways. With the rise of nationalism in the 19th, it catalyzed many wars including World War One.At the beginning of the 19th century, the Congress of Vienna was a reaction to the French Revolution, in which they wanted to preserve the monarchies in Europe as well as conservative ways. Nationalistic ideas were surfacing across Europe however the Congress of Vienna did not prevent the nationalism uprisings of 1848. By combining the Netherlands with Belgium, and continuously not giving Poland it’s freedom, the Congress only furthered the nationalistic movements. Revolutions began to take Europe during the year of 184 8, the year of Revolutions.Up until then, different ethnic groups began to pride themselves in nationalism, and in their identities. Countries such as Poland, Belgium, Italy, and Germany started revolutions in order to gain independence. Each country was fighting for nationalism with their new sense of identity however many of them failed. Nationalism ultimately caused the independence of countries such as Germany and Italy. It encouraged people of each state to think about their ethnicity as well as identity. Even though many states benefited, other states were suppressed and unable to break free.This is one of the factors that led up to the First World War. As the Ottoman Empire began to decline, it was right in the 19th -20th century, which was the prime time of nationalism. States wanted freedom from their reigning countries due to their national pride, yet the reigning countries were uncooperative. The Balkan areas were under the Austria-Hungary Empire’s rule, yet Serbia wanted to create a new country with states that mostly contained Serbians. Their nationalism became ultra-nationalistic which led to the assassination of the crowned prince of Austria-Hungary.This was one of the reasons of World War I starting up-nationalism. The seed of nationalism in Europe not only created many new independent nations but also created a sense of identity within states. Without nationalism uprisings in Europe, many of what the world looks like now would not be here and unified countries such as Germany and Italy may still be tiny states instead of a large country. Nationalism shaped Europe’s geographical state, and the course of events that led up to the 20th century.

Wednesday, October 23, 2019

Rotational Dynamics

Rotational Dynamics Abstract Rotational dynamics is the study of the many angular equivalents that exist for vector dynamics, and how they relate to one another. Rotational dynamics lets us view and consider a completely new set of physical applications including those that involve rotational motion. The purpose of this experiment is to investigate the rotational concepts of vector dynamics, and study the relationship between the two quantities by using an Atwood machine, that contains two different masses attached. We used the height (0. Mom) of the Atwood machine, and the average time (2. 5 s) the heavier eight took to hit the bottom, to calculate the acceleration (0. 36 m/SAA) of the Atwood machine. Once the acceleration was obtained, we used it to find the angular acceleration or alpha (2. 12 radar/SAA) and moment of force(torque) of the Atwood machine, in which then we were finally able to calculate the moment of inertia for the Atwood machine. In comparing rotational dynamics a nd linear dynamics to vector dynamics, it varied in the fact that linear dynamics happens only in one direction, while rotational dynamics happens in many different directions, while they are both examples of vector dynamics.Laboratory Partners Divine Kraal James Mulligan Robert Goalless Victoria Parr Introduction The experiment deals with the Rotational Dynamics of an object or the circular motion (rotation) of an object around its axis. Vector dynamics, includes both Rotational and Linear dynamics, which studies how the forces and torques of an object, affect the motion of it. Dynamics is related to Newton's second law of motion, which states that the acceleration of an object produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.This is where the famous law of F=ma, force equals mass times acceleration, which directly deals with Newton's second law of motion. The important part of Newton's second law and how it relates to rotational dynamics and circular motion, is that Newton's second law of rotation is applied directly towards the Atwood machine, which is Just a different form of Newton's second law. This equation for circular motion is: torque=FRR=l(alpha), which is important for helping us understand what forces are acting upon the Atwood machine. It is important to test the formulas because it either refutes or provesNewton's second law of rotation and more importantly helps us discover the moment of inertia and what it really means. Although both rotational and linear dynamics fall under the category of vector dynamics, there is a big difference between the two quantities. Linear dynamics pertains to an object moving in a straight line and contains quantities such as force, mass, displacement, velocity, acceleration and momentum. Rotational dynamics deals with objects that are rotating or moving in a curved path and involves the q uantities such as torque, moment of inertia, angular velocity, angular acceleration, and angular momentum.In this lab we will be incorporating both of these ideas, but mainly focusing on the rotational dynamics in the Atwood Machine. Every value that we discover in the experiment is important for finding the moment of inertia for the Atwood machine, which describes the mass property of an object that describes the torque needed for a specific angular acceleration about an axis of rotation. This value will be discovered by getting the two masses used on the Atwood machine and calculating the weight, then getting the average time it takes for the smaller weight to hit the ground, the height of theAtwood machine, the radius, the circumference, and the mass of the wheel. From these values, you can calculate the velocity, acceleration, angular acceleration, angular velocity, and torque. Lastly, the law of conservation of energy equation is used to find the formulas used to finally obtain the moment of inertia. Once these values are obtained, it is important to understand the rotational dynamics and how it relates to vector dynamics. It is not only important to understand how and why they relate to each other, but to prove or disprove Newton's second law of motion and understand what it means.Purpose The purpose of this experiment is to study the rotational concepts of vector dynamics, and to understand the relationship between them. We will assume the relationships between the two quantities hold to be true, by using an Atwood machine with two different masses attached to discover the moment of inertia for the circular motion. Equipment The equipment used in this experiment is as follows: 1 Atwood machine 1 0. 20 kilogram weight 1 0. 25 kilogram weight 1 scale 1 piece of string 1 stopwatch with 0. 01 accuracy Procedure 1 . Gather all of the equipment for the experiment. 2.Measure the weight of the two masses by using the scale, making sure to measure as accurately as possible. 3. Measure the length of the radius of the wheel on the Atwood machine. Then after obtaining this number, double it to obtain the circumference. 4. After measuring what is need, proceed to set up the Atwood machine properly. Ask the TA for assistance if needed. 5. First start by tying the end of the string to both weights, double knotting to make sure that it is tight. 6. Set the string with the weights attached to the groove of the Atwood machine wheel, making sure that it is properly in place. 7.Then set the lighter mass on the appropriate end of the machine, and hold in place, so that the starting point is at O degrees. 8. Make sure that the stopwatch is ready to start recording time. 9. When both the timer and the weight dropper are ready to start, release the weight and start the time in sync with one another. 10. At the exact time the mass makes contact with the floor, stop the time as accurately and precise as possible. 1 1 . Repeat this process three times, so t hat an average can be obtained of the three run times, making the data a much more accurate representation of the time it takes he weight to hit the ground. 2. Now that the radius, masses, and time are recorded, it is time to perform the calculations of the data. 13. Calculate the velocity, acceleration, angular acceleration, moment of force or torque, and finally moment of inertia. 14. Finally, compare the relationships of the rotational concepts inquired and draw conclusions. Notes and Observations The Atwood machine contained four outer cylinders that stuck out of the wheel, which cause air resistance in rotation, and contribute to the moment of inertia. The timer, was hard to stop at the exact right time when the weight made contact with he floor.Lastly, there was friction of the string on the wheel, when the weight was released and it rubbed on the wheel. Data Mass of the first weight: 250 g=O. Keg Mass of the second weight: egg=O. Keg Weight 1=MGM= 2. 45 N Weight 2=MGM= 1. 96 N Time 1: 2. 20 seconds Time 2: 2. 19 seconds Time 3: 2. 06 seconds Height: 82. 4 CM= 0. 824 m Radius: 17 CM= 0. 17 m Circumference (distance)= 0. 34 m Mass of the wheel= 221. G x 4= egg= 0. Keg 2 x (change in a= (change in 0. 36 urn,'92 a=r x (alpha) alpha= alarm = 2. 12 radar/92 Velocity'=d/t -?0. 58 m/s E(final) E(final) + Work of friction (l)g(change in height)= h + m(2)g(change in height) + h + h law v/r Moment of Inertia= 0. 026 keg x m/SAA summation of . 876 Error Analysis There was error to account for in this lab, which first started with the four cylinders that stuck out of the Atwood machine in a circular pattern. This caused air resistance in which we could not account for. We only measured the weight of the four cylinders for the total weight of the Atwood machine, because the wheel itself was massages in comparison.Even though it accounted for very little error in our experiment, it effected the other numbers that we calculated in our data, making them a little less ac curate. When finding the amount of time it took the heavier weight to make contact with the rubber pad, there was human error in the reaction time of the timer in which we accounted for, making our data more accurate and precise. This is why we averaged all of the values in order to make the times more precise. Lastly, there was error for the friction of the string making contact with the wheel, which we did not account for, because there was no way of accounting for it.The reason why the force f the tension and the weight were not equal to each other was because of this friction force that existed, which we were not able to find. Conclusion Throughout this experiment we examined the circular dynamics of a pendulum when outside act upon it, making the pendulum move in a circular motion. We measured many values, including the period, in order to determine the theoretical and experimental forces acting on the pendulum. From this we were able to draw conclusions about how the experimen tal and theoretical forces relate to each other.We also were able to test Newton's second law of motion determining whether or not t holds to be true. The values that we obtained to get our experimental and theoretical forces started with setting up the cross bar set-up, and attaching the string with the pendulum to the force gauge and obtaining the tension in the string which was 3 Newton's, by reading the off of the gauge, while the pendulum was swinging in a circle. We then measured the mass of the pendulum with a balance scale to be 0. 267 kilograms, which were then able to find the weight to be 2. 63 Newton's.Next we were able to find the length of the string and force gauge attached to the pendulum. Instead of measuring Just the string attached to the pendulum, we also measured the force gauge, because without it our readings would be inaccurate. After placing the wall grid under the pendulum, we received the numeric value of 0. 5 meters of the radius by reading it off of the chart, by measuring from the origin, to the end of the where the pendulum hovered the graph. Then we found the period by using the stopwatch, which was 1. 71 seconds. We started the time at the beginning of the first crossbar and ended it at the same place.With these numbers that we measured we were able o calculate the angle of the string to the crossbars when it was in motion to be 35. 5 degrees. Then we found the constant velocity by using V = nor/t, in which we obtained the value of 1. 84 meters/second. From this we used the formula a = ‘ГËÅ"2/r to calculate the constant acceleration which was 6. 67 m/SAA, which we came to the understanding that the pendulum was moving very quickly, and that it took a while to slow down. From this we used Newton's famous second law, which was F=ma, to solve for the Force that was subjected on the pendulum.We knew that if this value was airily close to our experimental value that his theory would be proven correct. Me modified the equa tion to fit for the situation that was involved, in which we used F = m x ‘ГËÅ"2/r to receive the value of 1. 81 Newton's. Lastly, by using all of the data that we obtained from the experiment, we used the formula Force Experimental= Ft(sin B) to get an experimental force value of 1. 74 Newton's, which lead us to believe we solved for the correct formulas, and followed the procedure for the experiment correctly. Some of the discrepancy in our data comes from the instability of the crossbar set- up.This is because our crossbar holders were not in place correctly, which we couldn't correct, so we obtained our data as accurately as we could. Another error in our data came from the force gauge, in that it didn't stand still when we set the pendulum in motion. We couldn't read exactly what was on the force gauge and it also kept changing numbers, so we had to estimate based on what we saw. Lastly, the error in reaction time of the stopwatch changed our data. Without these erro rs existing, I believe our experimental values would be closer to our theoretical values. Even though this may be true, our values were only different by 0. Newton's, meaning we performed the experiment correctly for the most part. From the results that we obtained from the experiment, we now understand what we would have to do to improve our results in collecting data and obtaining the Experimental Force acting on the pendulum. Our error could have been improved by using a different table with more stability, improving our reaction time, and obtaining multiple values for the force gauge then averaging the results. We figured out that even though there was error in our experimentation, that our values were still pretty accurate Judging by the theoretical value.Theoretical values are based on what is discovered by physicists performing the experiment over and over again. So to use these values and get a number only fractions off, shows that the way we performed our experiment was not very far off. We proved Newton's second law to be true, because by doing the experiment and getting similar values shows that his concept holds to be true. The forces that we used to move the pendulum showed the dynamics of the pendulum, and how this can be used to understand concepts of the planets rotating around the sun in the universe, Just at a much smaller scale.