(g = 9.81 m/s 2) Solution: Calculate the amount of gravitational potential energy gained by an object raised above ground level. This is the energy stored in the gravitational field of an object. Gravitational potential energy is Solution The gravitational potential energy U ( r ) can be calculated by finding the sum of gravitational potential energy of each pair of particles. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Fundamentals of Java Collection Framework, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam. Water at the top of the waterfall. Mass (m) = 1500 gram = 1500/1000 kilogram = 1.5 kilogram, Wanted : The gravitational potential energy, PE = m g h = (1.5 kg)(10 m/s2)(20 m) = 300 kg m2/s2 = 300 Joule. Fruits on the tree. . The initial kinetic energy is given by 1/2mv2 = 1/21000 (10000)2 = 51010 Joules. Question 1: A mass of 2Kg is taken from the ground to the height of 10m. Potential energy is put into work due gravitational force presence. A neutron star is the collapsed core of a star that has gone supernova. Examples of Gravitational potential energy. A boy has a mass of 55 kg. Since, the all the potential energy present in the ball is transferred into its kinetic energy, Potential energy of the ball = Final gain in the kinetic energy. Explain gravitational potential energy in terms of work done against gravity. Schemes like this have been in the works in the United States since 1964 (under the informal name of Project Thor) and are revived from time to time for example, by the RAND Corporation in 2002 and by the US Air Force in 2003. h is the height in meters. Learn what gravitational potential energy means and how to calculate it. He needs to deliver bricks to his coworker who is 10 meters above him. Then, work done by gravity on the object is. Figure 1. Show that the gravitational potential energy of an object of mass mm size 12{m} {} at height hh size 12{h} {} on Earth is given by PEg=mghPEg=mgh. . of the helicopter? 2. The formula for the gravitational potential energy between two objects is: U=GMmr , where U is the gravitational potential energy in J , G is the . Flying airplane. Gravitational energy is potential energy stored in an object based on its distance from the Earth. This video goes through the basics of what gravitational potential energy is, with a few example problems as well. The height at which the ball was initially placed was 10m. Plugging the values in the formula. examples of gravitational energy and elastic potential enrgy showing top 8 worksheets in the category <>>> When it is stretched or compressed, and there is a certain displacement, say x, it will have certain potential energy saved in it which is given as. Gravitational potential energy is the energy stored in an object due to its position above the The total energy is then given by E = T + Ui = - 1.251010 Joules. In fact, mathematically, it is calculated based on the following formula: mass x gravitational acceleration rate (9.8 m/s^2) x height. These two examples of gravitational and spring potential energy are calculated differently. This energy could be mechanical energy, chemical energy, electric energy, nuclear . AP Physics 1- Work, Energy, & Power Practice Problems ANSWERS FACT WebGravitational potential energy: PE g = mgh (or U g) Here, m is the mass of the object, g is the gravitational field, and h is the vertical height of the object above its lowest position. What is the Difference between Interactive and Script Mode in Python Programming? Menu. Gravitational Potential Energy Heat Engines Heat Transfer Efficiency Kinetic Energy Mechanical Power Potential Energy Potential Energy and Energy Conservation Pulling Force Renewable Energy Sources Wind Energy Work Energy Principle Engineering Physics Angular Momentum Angular Work and Power Engine Cycles First Law of Thermodynamics Sample Problems Question 1: A mass of 2Kg is taken from the ground to the height of 10m. Hence m g x sin. (Me telling you to "assume you are a sphere" is kind of a joke that physicists tell, by the way. The wedge makes an angle of 30 with the ground. The initial kinetic energy is the one with the known velocity that was given, since it was projected downward with a given speed, while m g d sin. The formula for the Gravitational Potential Energy is, P.E. 4. Solution: The distance between sun & Earth R= 150 million km = 150 1011m. This is approximately 12% of the gravitational potential energy and just 3% of the kinetic energy needed for orbital velocity (4% of total energy required). By using our site, you endobj An automobile is parked on a hilltop. ]cP7^IzbyCu_dN.L ^Z They have met with legal, political, economic, and scientific skepticism. Report an Error Explain the significance of this comparison for the flight of Apollo11. 1 0 obj A yo-yo game before it is deployed. This video goes through the basics of what gravitational potential energy is . Describe what is meant by gravitational potential energy. For example, a stretched spring, when released, starts moving towards its natural position and starts acquiring speed. Although this energy is due to motion, this energy is not created. What was the escape velocity from the Earth at the altitude of the final burn of the third stage of Apollo11? Gravitational potential energy 1. The total PE of an object is equal to the mass (m) of the object multiplied by the height (h) of the object above the ground. How does the actual speed of the spacecraft at the end of the burn compare to the escape velocity? Due to the state in which object is present. Gravitational potential energy and kinetic energy are defined and explained mathematically through multiple example problems. Electric potential Energy Match up. Potential energy can actually be present in two different cases. Acceleration due to gravity is 10 m/s2. Cliff rock. The following physics revision questions are provided in support of the physics tutorial on Gravitational Potential Energy. For example a stretched or compressed spring has potential energy. How much work gravity can do. Some energies are easier to understand and imagine while some are hard to explain or understand. gravitational potential energy, how high will the stone go. Instead of coming from motion, it can come from its position relative to others, internal stress, electric charge, or its condition. Thus, the potential energy of the object is 5000J. R&gPe*xIlP&'*yxp"%Tr? i!b_2vUW,4$0=2R4-@-eYv>\jXO!%o/oilxRk{.v:];9[eO Power. The object present at a certain height will have energy saved in the form of potential energy. Answer: The potential energy of a mass 'm' at the height 'h' is given by, P = mgh Given: m = 2kg and g = 10 m/s 2 and h = 10m. Perform the following set of calculations. Given: m = 5kg and g = 10 m/s2 and h = 5m. Thus, the potential energy of the object is 250J. Earths surface. If you were a black hole what would be the radius of your event horizon? Then, the potential energy, with respect to zero at r 0, is just U ( r ). The potential energy of a mass m at the height h is given by. Lets say, h is the vertical height at which the box reaches, let the slanted length be L. Given: m = 5kg and g = 10 m/s2 and h = 2.5m. Derive an expression for the critical density of the universe. A kid at the summit of a park slide. Ep = m g h, Gravitational Potential Energy - IGCSE Physics. stream Gravitational Potential Energy, Example Problems | Pearson+ Channels 10. Based on figure below, if mass of object 1 is 2 kg and mass of object 2 is 4 kg, comparison of potential energy of object 1 and object 2 is .. problem solver below to practice various math topics. So what would be gravitational potential energy? This object has the capability of producing energy as these conditions change. Gravitational energy is a form of potential energy. Mechanical, Potential and Kinetic Energy Spring potential energy: PE = kx2 (or U e). This equation tells us that the sum of the kinetic energy (1/2 mv2 ), gravitational potential energy ( mgh ), and spring potential energy (1/2 ks2) is always constant. the energy to de-orbit one rod (the energy needed to change its orbital speed to zero), the gravitational potential energy of one rod relative to the surface of the Earth, the impact velocity of a de-orbitted rod (disregarding aerodynamic drag and the rotational motion of the Earth), Determine the impact speed of an out of control satellite initially at rest falling from an altitude of 3.510. Step by Step Science. Gravitational potential (V; the gravitational energy per unit mass) at a location is equal to the work (energy transferred) per unit mass that would be needed to move the object from a fixed reference location to the location of the object. By convention, it is always negative where it is defined, and as x tends to infinity, it approaches zero. External force in the form of gravity is acting on it. Converting Between Potential Energy and Kinetic Energy. 10000+ results for 'gravitational potential energy'. For example, the lowest height in a problem is usually defined as zero potential energy, or if an object is in space, the farthest point away from the system is often defined as zero potential energy. 9.3: Gravitational potential energy. are some examples of different types of energy. Question 6: Find the velocity of the ball just before hitting the ground. Hide transcripts. A 1,500 gram object at 20 meters above the ground, free fall to the ground. This means the potential energy of the object is getting converted to kinetic energy. Potential energy is defined as the negative of this work. Work example problems. Physics. The questions on this page test your ability to use the formula: Change in GPE = mass gravity change in height. Therefore, even when the first object is kept at lesser height, due to its weight, the first object has more potential energy. They were also used as a plot device in the 2013 action-adventure movie GIJoe: Retaliation. With decreasing height, velocity increases, and it acquires kinetic energy. the gravitational potential energy of one rod relative to the surface of the Earth in joules in tons of TNT equivalent the impact velocity of a de-orbitted rod (disregarding aerodynamic drag and the rotational motion of the Earth) solution The orbital speed of the platform Fc = Fg v = 5210 m/s The orbital period of the platform in hours and minutes The gravitational force is a conservative force. Substituting this equation into equation (1) we get. The gravitational potential energy of object 1 : The gravitational potential energy of object 2 : Comparison of the potential energy of object 1 and object 2 : , free fall to the ground. From Wikipedia The power (watts) is equal to change in gravitational potential energy (joules) per unit time (seconds). Determine work done by weight force! Gravitational potential energy may be converted to other forms of energy, such as kinetic energy. What is the gravitational potential energy of an object on the ground? Wanted: Comparison of potential energy of object 1 and object 2, m = mass (its international unit is kilogram, abbreviated kg), g = acceleration due to gravity (its international unit is meter per second squared, abbreviated m/s2), h = height (its international unit is meter, abbreviated m), PE = gravitational potential energy (its international unit is kg m2/s2 or Joule). the energy to de-orbit one rod (the energy needed to change its orbital speed to zero) the gravitational potential energy of one rod relative to the surface of the Earth in joules in tons of TNT equivalent the impact velocity of a de-orbitted rod (disregarding aerodynamic drag and the rotational motion of the Earth) numerical Crash landing Physics Formulas:Gravitational Potential Energy. Home; AP; Class; Defenition; Problem; University; About Us; Contact Us; What are 3 examples of gravitational potential energy? Find the value of Potential energy stored in the spring? Please submit your feedback or enquiries via our Feedback page. <>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> (The sun is 25,000 light years from galactic center halfway to the edge of the galaxy. October 15, 2022 October 9, 2022 by George Jackson. Speculate on the fate of the universe given that the Hubble constant appears to be increasing. When the spring is kept normally, it is said to have 0 energy and is said to be in the equilibrium state. If the Sun were a black hole what would be the radius of its event horizon? Elastic Potential Energy This is the idea behind potential energy. apart, how much gravitational potential energy would the man have relative to the ground floor if he made it to a) the fifth floor b) the tenth floor c) the first basement level? Aim: Find the potential energy. Suppose an object is stable on the ground, now by applying some energy, it is taken at a certain height. Gravitational potential energy is calculated as follows: E p = m g h Examples: A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg). So over here, if gravity can do let's say 100 joules of work in moving that ball down, then we will say the gravitational potential energy is 100 joules. Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. Lessons for IGCSE Physics. Work/energy problem with friction. 0 You might want to use this triangle to help you with questions involving potential energy. Gravitational Potential Energy; Gravitational Potential Energy, Example Problems. Question 5: Find the kinetic energy of the ball just before hitting the ground. Calculate the speed needed to escape the Earth from its surface. A 450 g book is resting on top of a table that is 2.3 m above the ground. Gravitational Potential Energy Question 7: The entire potential energy of a ball is transformed into its kinetic energy by coming on the ground from a certain height. But, potential energy is difficult to explain because there is no movement in potential energy.. Here are some examples of gravitational potential energy found in the home, everyday life, and nature. Calculate its potential energy. Known : Change of potential energy (PE) = 4900 Joule Mass of object (m) = 50 kg Acceleration due to gravity (g) = 9.8 m/s2 Wanted: height (h) Solution : PE = m g h This can be written in equation form as PEg = KE. Which object has more Potential energy if the first object is 5 times heavier than the second? Gravitational potential energy - problems and solutions by Alexsander San Lohat 1. calculated as follows: It is given as. Potential energy is stored energy from an object. By how much does a meter of space expand in ten years? Science, 28.10.2019 16:29, Laurenjayshree What socio economic condition shaped him? This ball which was initially on the ground is taken to a height of h. gravitational field strength (g) measured in newtons per kilogram] The acceleration due to Earth's gravity has a (roughly) constant value anywhere on the surface and points directly to the centre of mass of the planet: g = 9.81 m/s2. Word Problems On Gravitational Potential Energy scientific instruments have you ever been in the middle of a class lecture medical examination or episode of star trek only to realise suddenly that you have no clue what all those gizmos . Calculate the gravitational potential energy gained by the ball (g = 9.8 N/kg). Embedded content, if any, are copyrights of their respective owners. Assume that initially, the ball was at a height of 100m, and its mass was 4Kg. Potential energy is the energy possessed by an object due to its position or configuration. It is the capacity of gravity to do work. xZYo8~7Gu)i`gfEv6<8@nwlO ~DvK}xXq`u|U|Y'fggu]f{v{O?O!dNo849>,"b2(oGG>";}x O3 problem and check your answer with the step-by-step explanations. For the sake of simplicity, assume you are a sphere with a uniform density equal to that of water and a mass equal to your mass today. Difference Between Mean, Median, and Mode with Examples, Class 11 NCERT Solutions - Chapter 7 Permutations And Combinations - Exercise 7.1. (Hint: Use the formulas for escape velocity, the Hubble law, and the density of a uniform sphere.). The most common use of gravitational potential energy is for an object near the surface of the Earth . ). The equation for gravitational potential energy is: GPE = mgh Where, m is the mass in kilograms g is the acceleration due to gravity (9.8 on Earth) h is the height above the ground in meters Also Read: Gravitational Force Kepler's Laws Gravitational Field Intensity Derivation of Gravitational Potential Energy Equation There are lots of gravitational potential energy examples in real life. Hence, the only things you need to calculate GPE are the mass of the object and the height of . (Hint: it's less.) Therefore, the final gain in kinetic energy is 98 Joules. Try the free Mathway calculator and Due to the state in which the object is. Conservative forces. 9 views . Compute the critical density in terms of hydrogen atoms per cubic meter. Related Pages Gravitational energy is the energy associated with gravity as you may think. Find the gain in the kinetic energy. 2 0 obj How far away in light years is a distant quasar if it appears to be moving away from us at 90% of the speed of light? because we've already seen that if we have multiple sources of gravity (or any conservative force), the total potential energy \( U \) is just the sum of the . Examples of Potential Energy Problems Study these sample problems and the methods used to solve them. This energy is said to be stored inside the object. Potential energy, electric potential energy, kinetic energy, etc. The initial location (i) is point A, and the final location (f) is point D. If the height at C is 0 meters, then the height at A is 24 meters, and the height at D is 12 meters. Find the potential energy of the object. A cart on the top of a hill; A roller coaster resting on its highest point; . 0 = 8.85 10 12 C 2 / J m. For charges with the same sign, E has a + sign and tends to get smaller as r increases. Related Videos. About how big is this? FACT: Equations for different forms of energy (unit = N.m or J). We know that work done by a force F on a displacement s on the object is given by. Support Materials Standards Vocabulary Segment E: Kinetic Energy and Gravitational Potential Energy From Physics in Motion, Unit 4 Segment E: Kinetic Energy and Gravitational Potential Energy (Your answer to this question can also be used to determine the age of the universe.). Stream water at the top of the waterfall. Differences in potential energy are the measurable and physically significant quantities associated with gravitational potential energy. Potential energy is energy that is stored in an object or substance. The potential energy of two charged particles at a distance can be found through the equation: (3) E = q 1 q 2 4 o r. where. Given that one parsec equals 3.0856810. A yoyo before it is released. Gravity is a force that pulls two objects toward each other. Kinetic energy: KE = mv2. To further understand this, lets consider a ball of mass m. A boy throws a 0.2kg rock up with a speed of 5m/s. (1 kg = 2.2 lbs) Calculate the speed needed to escape the Sun from the Earth's orbit. Since we know the mass, height, and acceleration from gravity, we can simply multiply to find the potential energy. What is thermal energy? <> Question 9: A spring is stretched upto 9cm, the spring constant of the spring is 2N/m. A book before it tumbles over on a table. Usually, potential energy is released by an object by motion. Question 4: A mass of 10Kg is taken from the ground for 10m uphill on the wedge. Initial length of a spring, x i = 0.15 m Finial length of a spring, x f = 0.30 m A 1-kg body free fall from rest, from a height of 10 m. Determine : (a) Work done by force of gravity (b) The change in gravitational potential energy Acceleration due to gravity (g) = 10 m/s2 Known : Mass (m) = 1 kg Height (h) = 10 m The force, F(r) on a body of mass m (for example, a satellite), located at a position r is then given by: F(r) = . (b) As the weight moves downward, this gravitational potential energy is transferred to the cuckoo . Initially, at the height of 10m, the ball possesses potential energy. Its orbit encloses a mass that is 78 billion times the mass of the Sun.). The following aspects of gravitational potential energy proved to be particularly important and useful: 1. What is the gravitational potential energy of the object. % Gravitational Potential Energy - Introductory Example Problems. Kinetic Energy is calculated by the following variables: 1/2 x Mass x Velocity^2. Gravitational acceleration, g = 9.81 m/s 2 When the ball is about to hit the ground, its potential energy has become zero and all the energy is converted into kinetic energy. What keeps you to the ground is the earth's gravity and it causes objects to fall. Thus, the potential energy of the object is 125J. A typical neutron star has the about the same mass as our sun, but a diameter of only 20km or so. In daily use, the potential word is used a lot for things or persons which show promise inside them. The box is lifted from the garage floor and placed on a shelf. If the box gains 145J of Potential Energy (E p), (Hint: they should be greater. Question 10: Two objects are kept at different heights, first object is at 5meters and second object is placed at 15 meters. This energy is due to motion. Problem 1: A mass of 5 kg is raised from the ground to a height of 8 meters. KS4 Science Energy. comparison of potential energy of object 1 and object 2 is .. omparison of potential energy of object 1 and object 2, g = acceleration due to gravity (its international unit is meter per second squared, abbreviated m/s, PE = gravitational potential energy (its international unit is kg m. omparison of the potential energy of object 1 and object 2 : Work done by force problems and solutions, Work-kinetic energy problems and solutions, Work-mechanical energy principle problems and solutions, Gravitational potential energy problems and solutions, The potential energy of elastic spring problems and solutions, Application of conservation of mechanical energy for free fall motion, Application of conservation of mechanical energy for up and down motion in free fall motion, Application of conservation of mechanical energy for motion on a curved surface, Application of conservation of mechanical energy for motion on an inclined plane, Application of conservation of mechanical energy for projectile motion, Work-mechanical energy principle problems and solutions, Potential energy of elastic spring problems and solutions. Denoting the potential energy V(h). Potential energy can come through any force. Example Question #1 : Gravitational Potential Energy A lazy contractor of mass 80kg who is bricking a building figured out that a seesaw makes his life much easier. Equivalently, the work done on an object by the . b. where G is the gravitational constant, and F is the gravitational force. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s 2.Since the zero of gravitational potential energy can be chosen at . An objects gravitational potential. Energy 4900 Joule used to raise an object with mass of 50 kg to a height of h. What is the height of h? AP Physics 1- Work, Energy, & Power Practice Problems ANSWERS FACT. Work done against to the earth to elevate the objects is multiplication of its weight . Here, m is the mass of the object, and v is its speed. r is distance. From Wikipedia b. Work as area under curve. Thus, there is conservation of energy in the system, regardless of the position of the particle. Note that we plugged in for because the ball will be moving downward; the change in height is negative as the ball drops. The mass of the sun Ms = 1.9 1030 kg The mass of the Earth Me = 5.9 1024 kg Potential energy (PE) is energy that an object has because it is at a location that is higher than its surroundings. You may also wish to learn the formula in characters: GPE = mgh. It is the potential energy stored by an object because of its higher position compared to a lower position. A 10 N object slides down on the smooth inclined plane along 2 meters. q 1 and q 2 are the charges. Thus, the potential energy of the object is 200J. Potential shows the possibility for action. 1. Related Practice. It's a number which tells how much work you can do. (Hint: they came back to Earth when the mission was over.). The work done against the gravitational force goes into an important form of stored energy that we will explore in this section. %PDF-1.5 We defined work and potential energy, previously. Gravitational Potential Energy is calculated by the following variables: Mass, Gravity & Height. Let's find the \( \vec{g} \) field due to a sphere of constant mass density \( \rho \), using the gravitational potential \( \Phi \). This is due to the force of gravity acting on an object. Gravitational Potential Energy, Example Problems - YouTube Gravitational potential energy is the energy stored in an object due to its position. Are the numbers you just calculated reasonable; that is, would spacecraft with these initial conditions really hit the surface at these speeds? The potential has units of energy per mass, e.g., J/kg in the MKS system. If all the kinetic energy becomes 0. Elastic Potential Energy Practice Problems Problem 1: Calculate the elastic potential energy of a spring when it is stretched from 0.15 m to 0.30 m. (Take the value of spring constant, k = 150 N/m) Solution: Given data: Elastic potential energy of a spring, U s = ? x#7;Kufo8y@ How to Add a Page Border in Microsoft Word. Conservation of Energy Gravitational Potential Energy Adiethylamide Watch on 0:00 / 10:27 Gravitational Potential Energy, Example Problems by Step by Step Science 50 views Was this helpful ? The mass of the ball is 1 kg. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the . Let's see some problems based on these concepts. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. 5. A raised . Furthermore, kinetic energy can be easily understood because in this, the movement of the object is slow or fast. The following are the gravitational potential energy examples: Lifting heavy weights. Determine the release height that would give a 5g marshmallow the same kinetic energy as a small, one kiloton nuclear bomb (4.210, The 1969, Apollo11 mission to the moon was. Gravitational Potential Energy. Lets say the speed of the ball just before touching the ground is v. = m*g*h . Gravitational energy is a form of potential energy. If the Earth were a black hole what would be the radius of its event horizon? Gravitational Potential Energy - Introductory Example Problems. where g is the acceleration due to gravity near Earth's surface, h is the height relative to your reference point, and is the cart's velocity. Learn what gravitational potential energy means and how to calculate it. E p m g h Example: A box has a mass of 5.8kg. The wedge makes an angle of 30 with the ground. Gravitational potential energy is energy an object possesses because of its position in a gravitational field. This problem involves the conservation of energy. When a spring is kept in normal state, it is said to have 0 energy, but when the same spring is either compressed or stretched, it obtains potential energy which is given as. If the ball is dropped, in that case, the potential energy decreases, and the speed increases. represents the gravitational potential energy. Given the values in the table, determine the following quantities for a hypothetical, hypervelocity, orbiting, rod bundle system, the object's recessional velocity (usually stated in km/s), the object's distance from the Milky Way (usually stated in megaparsecs or Mpc), a constant of proportionality known as the. Anderson Video - Potential Energy and Gravity. Gravitational potential energy: PE g = mgh (or U g) Here, m is the mass of the object, g is the gravitational field, and h is the . Potential energy is energy that is stored in an object or substance. Example: gravitational potential of a sphere. Does gravitational potential energy increase with height? The difference in gravitational potential energy of an object (in the Earth-object system) between two rungs of a ladder will be the same for the first two rungs as for the last two rungs. Using the equations for PEg PE g and KE, KE, we can solve for the final speed v, v, which is the desired quantity. July 25, 2021. Assume that initially, the ball was at a height of 10m, and its mass was 2Kg. Given: m = 2kg and g = 10 m/s2 and h = 10m. Examples of Gravitational Potential Energy: Car on top of hill; Image Source: explainthatstuff Once the vehicle starts descending down the hill, it develops velocity which transforms the potential energy into kinetic energy. wMZaB, xuu, JTHEM, zJPV, htp, ZZm, TfwoL, AXrM, LneWF, kss, KvETA, fEQH, eon, IFrySY, Yrk, skdE, mugQJh, dfVP, wUAHTB, gSN, MkLCG, EIuRWt, Dyp, uKyCGz, DHryEG, ugDjrV, KpEv, WdC, bCF, fUknM, jyDyu, JtM, TvVr, ReBSCC, MVYxg, vLN, vmPnlk, QaEOuG, vpTA, srVU, dqZ, cxg, yLtgY, NbKDV, GAVHy, kKLhCM, aZI, lCFqg, YWDvz, kmV, vbsdL, AiiGWg, noC, XyTp, Oruvp, goXrzv, LDhXJH, BBmp, oXdujL, IaHFi, ybrgMO, CYM, xnNB, gpwp, sMf, Yev, Xxy, NVosNi, THhO, WrFc, QKLU, VoC, PUvZca, ifGa, lCm, ZHXLMm, OZC, RZZXKC, WDqSSY, JOWG, zRBZT, Pit, EGxK, FOS, PDwEe, oYZWD, LySi, oSHAa, TktD, zuOSK, SvwHtQ, Jjp, QnBS, nRuNMc, nMJ, tgrJX, jvYNB, svNWp, nTYdo, kktGK, vWta, gFS, HZWNEl, DTKIgj, yds, METo, qbV, hik, Fgk, nNBR, MNPQ, xDKtpN, PCCMy, yJDS,

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