kepler laws questions and answers

10 Dec kepler laws questions and answers

Share this page. Sciences, Culinary Arts and Personal If the planet is 6.99\times 10^{10} m from the Sun's center at aphelion, how far is it at perih... 1. During the 5,000-yr period of recorded history, by how much has the length of the year changed due to... Find the mass of Jupiter based on data for the orbit of one of its moons, and compare your result with its actual mass. 16. The period of the earth around the sun is 1 year and its distance is 150 million km from the sun. The sun's mass is 2.0 x 10^ {30} kg. 17. Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 5000km. At the point of closest approach (perihelion), the asteroid is 1.61 x 10^8 km away fro... Two planets X and Y travel counterclockwise in circular orbits about a star. Imagine that a new asteroid is discovered in the solar system with a circular orbit and an orbital period of 7 years. The Physics Classroom serves students, teachers and classrooms by providing classroom-ready resources that utilize an easy-to-understand language that makes learning interactive and multi-dimensional. When is its kinetic energy the greatest? If Earth be one half of its present distance from the Sun, by how many days will the present one year on the surface of Earth will change? Prove that in a properly elliptic orbit, the angle between \vec{r} and \vec{v} is \dfrac{\pi}{2} only at the apogee and perigee. What is the satellite's orbital per... An object of mass 3.5 times 10^{23}, kg circles the earth and is attracted to it with a force whose magnitude is given be GMeM/r^2 . Calculate the period of r... A newly discovered asteroid is found to have a circular orbit, with a radius equal to 33 times the radius of the Earth's orbit. The radii of their orbits are in the ratio 4:1 . Saturn has a number of moon's, the biggest of which are Titan, Rhea, Dione, and Tethys. A satellite is in a circular orbit around the Earth at an altitude of 3.40\times 10^6 m. \\ (a) Find the period of the orbit. Calculate the orbital period of Saturn. (Assume the Earth's mass is 5.97 1024 kg and i... A satellite has an orbit with pedigree 175 km and apogee 181200 km. If a planet has a period of 8 years, what is its average distance from the Sun, in astronomical units? What happens to the orbital angular momentum of the planet at that point? Find the semi-major axis of the orbit of Halley s comet in astronomical units (1 AU is equal to the semi-major axis of the Earth's orbit). If the distance between earth and sun were reduced to half of its present value, then the number of days in one year would have been: a) 65 b) 129 c) 183 d) 730. Test your understanding with practice problems and step-by-step solutions. Join now. The orbit for satellite A is at a height of 423 km above the earth's surface, while that for satellite B is at a height of 809 km. Calculate the mass of Mars from this information. Using Kepler's third law, show that the planet's sidereal orbital period is 1.88 years. (a... An unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 50.0 km. How did Kepler's findings support the heliocentric theory? How long would our year be if our Sun were two fifths its present mass and the radius of the Earth s orbit were six times its present value? What is the orbital period of mars in earth years? Give your answer in m/s. Answer: Question 5. Two planets P 1 and P 2 orbit around a star S in circular orbits with speeds v 1 = 45.0 km/s, and v 2 = 59.8 km/s respectively. A nucleus is at rest in the laboratory frame of reference. The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 times 10^8 km, and the earth travels around this orbit in 365 days. A orbiting satellite stays over a certain spot on the equator of (rotating) Neptune. Its orbital distance was measured to be 10.5 million kilometers from the center of the star, and its orbital period wa... A satellite orbiting the moon very near the surface has a period of 110 minutes. Where is its potential energy greatest? The motion is modeled using the formulation for a restricted two-body problem. If the radius of the satellite s orbit is doubled, what is the period for new satellite s orbit? (assume circular orbit). Add your answer and earn points. Determine the distance above Earth's surface to a satellite that completes four orbits per day. What i... Astronomical observations of our milky way galaxy indicate that it has a mass about 8.0 *10^{13} times the mass of our Sun. Take this quiz to see how much you truly know about Newton’s ground-breaking laws. In the statements below, TE i... A planet is in an elliptical orbit around a distant star. A satellite is in a circular orbit around an unknown planet. a) State Kepler's 2nd law of planetory motion. Star Y has twice the mass of our sun. If the Earth was at one half of its present distance from the Sun, how many days will be there in a year? kg. 2. What is its orbital period? If the radius of the satellite's orbit is doubled, what is the period for this satellite? Suppose, the orbital radius of such a planet is found to be 3.3*10^{11} m, with a period of 1080 days. The Physics Classroom serves students, teachers and classrooms by providing classroom-ready resources that utilize an easy-to-understand language that makes learning interactive and multi-dimensional. It is given that the semi-maj... A satellite orbits at an average altitude of h = 441 km. If the distance from the center of the moon to the surface of the planet is 2.16500 x 1... A 380000 m asteroid orbits the sun. `F=mxxa` `F=0.5kgxx150m//s^2` `F=75kgm//s^2` Or `F=75N` (Newtons) 2. Hint: It is a very good approximation to assume this orbit is circular. The other satellite has orbital radius, 3.9r. $\begingroup$ This looks like homework, so just a hint: Kepler's third law is a proportionality relationship. What is the period of the revolution in lunar months? What is the size of the major axis of the astero... A comet approaches the Sun to within 0.570 AU, and its orbital period is 69.6 years. Your speed is 4300 m/s and it takes 7... An Earth satellite has an elliptical orbit with an eccentricity value, e=0.40 and on orbital period of 10 hours and 54.0 minutes. Calculate in days the expected period of rotation of the moon around the earth. Log in. Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure. You know you cannot destroy the satellite, as it is well... A certain satellite travels in an approximately circular orbit of radius 7.5 x 10^6 m with a period of 7 h 23 min. Newton's laws of motion: questions and answers. If the period of the first planet P 1 is 7.10 years. The orbit for satellite A is at a height of 547 km above the earth's surface, while that for satellite B is at a height of 758 km. Use Kepler's third law to show that the closer a planet is to the Sun, the shorter its period. Here is some information that may help... A planet of mass m = 1.15 * 1024 kg is orbiting in a circular path a star of mass M = 6.05 * 1029 kg. If the magnitude of the gravitationa... A spy satellite is in circular orbit around Earth. In the year 2004, it was estimated to be 480 AU. What is the speed of a satellite moving around the earth in a circular orbit that has a radius equal to six times the earth's radius of 6.38 x 10^6 meters? Use R E a r t h = 6370 km and m E a r t h = 5.98 10 24 kg. Compare the gravitational force between Halley's Comet and the sun when the Comet is at aphelion... Astronomers believe the moon used to be much closer to the earth, mass = 5.98 x 10^24 kg. What is the period of a near-Moon satellite? R_{min} =8.9 \times 10^{10} m Period of orbit = 2.4 \times 10^9 sec 1) What is the value of K for Halley's comet? They plan to have the satellite orbit a distance equal to 1.7 times the radius of Mars above the surface of the planet. a. What would be its orbital size as compared to that of the earth? According to Kepler's 3rd Law, how would a planet's orbital period change if the planet's eccentricity doubled? Question: Kepler's Law States That, "A Line From The Sun To A Given Planet Sweeps Out Equal Areas In Equal Times". Earth is 1.5 x 10^11 m from the sun and has a period of 365.2 days. A satellite which is geostationary in a particular is taken to another orbit Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. Determine the mass of Jupiter using the data for Io, moon of Jupiter. A comet that was seen in April 574 by Chinese astronomers on a day known by them as the Woo Woo day was spotted again in May 1994. B) semi-major axis. The time period of earth taken as T and its distance from sun R. What will be the distance of a certain planet from sun whose time period is 64 times that of earth ? Posted on 12/08/2020 12/08/2020 by apho2018. The planet Saturn orbits the Sun in an elliptical path with the Sun at one focus. One of the planets orbits the star with the period of 6.31 \times 10^7 seconds/cycle and a radius of 3.0... Two satellites are monitored as they orbit the Earth; satellite x is eight times as far from Earth's center as is satellite y. The mass of the satellite is 670 kg. Compute the altitude that is needed for such a satellite. A baseball is thrown at `150m//s^2` and its mass is `0.5kg`. 2) What's the average radius of Halley's comet orbit? What is the period of it's orbit? I have a drawing of a satellite orbiting the sun in an elliptical shape. Newton’s Laws of Motion Questions Answer the following questions using complete sentences. The figure below is a graph of the energy of a planet interacting with a star. Use Kepler's Laws and data about the Moon to determine the orbital period (hours) of a satellite that is 17,512 km above the surface of the Earth. (Radius of the Earth = 6.371 \times 10^6\ m) (a) How high above Earth's surface is the satellite? Some may not be used at all.) What is the orbital period of Mars in Earth years? A black hole may form from a dead star. Newton's laws can be used to derive Kepler's laws, and here... Use these equations: Assuming that each of the stars in the galaxy... Find the length of the major axis of Earth's orbit using Kepler's third law and the fact that Earth's orbital period is 365.256 days. (b) Find the satellite's orbital peri... Halley's comet orbits the Sun with a period of 76.2 years. If the satellite had twice as much mass, what would be its period of rotation? A satellite is orbiting the Earth. Kepler’s Second Law Answers to Questions 1. a. The least? Assume the orbit is circular. How much longer does it take Titan to orbit Saturn compared to Enceladus? What would the period of that planet be in Earth years? Kepler's laws follow which law discovered by Sir Isaac Newton? In 1609, Galileo looked through his telescope at Jupiter and saw four moons. The orbit for satellite A is at a height of 360 km above the earth's surface, while that for satellite B is at a height of 720 km... A visual binary star system has rotation period P = 10 years. Europa is one of Jupiter's moons. Answer: the mass M of each star is applying Newton’s 2nd Law, ∑F = ma, yields F g = ma c for each star: Gm planet M/r 2 = m planet v 2 /r GM/r = v 2 With v = ωr, then GM/r = ω 2 r 2 GM = ω 2 r 3 Therefore, the relationship between ω x and ω y is ω y = ω x [r x /r y] 3/2 = (90 0 /5 yr)(3) 3/2 ω y = 468 0 /5 yr so, planet Y has turned through 1.30 revolutions. \\ (c) Find the acceleration o... An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 1.91 times Earth's. Find the radius of the orbit of Mars as it circles the sun. What is its mean distance from the center of Sun? From kepler's third law one may conclude that the period or revolution... A satellite is placed in a circular Earth orbit of radius equal to 64% the radius of the Moon's orbit. The point along a planet's orbit where it is closest to the Sun is called the orbit's A) aphelion. It is 5.0 times farther from the Sun than Earth (5.0 au). b. (b) If the c... How many times further from the Sun than the Earth is an asteroid with an average orbital period of 7.43 years? Find the period of an artificial satellite that is in orbit 6.70 \times 10^3 km from the... Find the mean orbital radius of its moon Titan, whose period is 1.38 \times 10^6 s. Answer in units of m. A satellite is in Earth's orbit with an altitude at the perigee of 550.0 km and an altitude at the apogee of 5000.0 km. 51 Pegasi is very similar to the Sun. Asteroids X, Y, and Z have equal mass of 9.0 kg each. W... You are a scientist exploring a mysterious planet. If a small planet were discovered whose orbital period was twice that of Earth, how many times farther from the Sun would this planet be? what was its orbital period in days. Find the acceleration of the Moon toward... What is Kepler's second law of planetary motion? Assuming that Jupiter's orbit is truly circular, what is the distance from Jupiter to the sun, given that the... How many Earth years does it take Jupiter to orbit the Sun once, assuming a circular orbit and one Earth year as 365.25 days? The mass of the planet is estimated to be 0.64 times the mass of Jupiter.... How is the rotation curve method related to binary stars and Kepler's third law? Mars is an average of 2.28 x 10^11 m from the sun. Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. Suppose a solar system, with three planets circling a star, exists in a galaxy far far away. LBook provide Geography Quiz Question form Space, Geographical structure.Also provide Geography Questions and Answers PDF download link.Also get free 1000+ Gk Quiz Questions online practice set form our website www.lbookstore.com. What is the period of the orbit? What is the radius of its orbit? A satellite is in a circular orbit around the Earth at an altitude of 1.58 \times 10^6 m. (a) Find the period of the orbit. (Answer in m) b) What is the value of g at the location of this satellite? The radius of the Moon's orbit = 384,000 km. Suppose you are told that a satellite orbiting the Earth has a orbital period of 2 hours. If the gravitational field is supposed to be uniform, the work done in moving a 2 kg mass from the surface of the planet to a height of 8 m is NEWTON’S LAWS PRACTICE PROBLEMS Answer the following questions in your science notebook. What is the asteroid's orbital period, its "year", in terms of Earth years? A planet discovered orbiting it has an orbital period of 4.95 days. What happens according to Newton if you let an untied balloon go? Calculate the period T of a planet whose orbit has a semimajor axis of 5.2 AU. The astronomical unit (AU, equal to the mean radius of the Earth's orbit) is 1.4960E11 m, and a year is 3.1557E7 s. Newton's gravitational constant is G=6.6743E-11 m^3kg^{-1}s^{-2}. In recent years, a number of nearby stars have been found to possess planets. A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of 239.36 million kilometers. What methods did the astronomers use? If a planet's orbital period is 10 years, what is its average distance from the sun? © copyright 2003-2020 Study.com. Why are the lengths of days in spring and autumn the same?. Here is so... What is the orbital period (in years) of a planet with a semimajor axis of 35au? A planet of mass m=3.75 \times 10^{24} kg is orbiting in a circular path a star of mass M=7.25 \times 10^{29}. Earth orbits the sun in 1.0 year (1 year = 365 days, 24 hr = 1 day, 3600 s = 1 hr). Planet X has 20 times the mass of the earth and four times the earth's radius. The speed of the planet around that Sun is constant and |v| = 43000\ m/s. Calculate the length R of the s... Asteroids are believed to be material that never collected into a planet. The region of the solar system between Mars and Jupiter contains many asteroids that orbit the Sun. Question and answer. A comet orbits the Sun with a period of 71.8 yr. (a) Find the semimajor axis of the orbit of the comet in astronomical units (1 AU is equal to the semimajor axis of the Earth's orbit). What is the period of its orbit (in years)? Answer this in earth days. From these data, determine the mass of Jupiter. Mercury is an average distance of 5.79 times 10^7 km from the Sun. (Hint: Modify Kepler's third law so it is suitable for objects orbiting... A satellite is in a circular orbit around the Earth at an altitude of 3.24*10^6 m. (a) Find the period of the orbit. The Trans-Neptunian object Sedna has an extremely large semimajor axis. Earth is closer to the Sun in December than in June. (a) If the period of the first planet P1 is 730 years, what is the mass o... Venus has a period of revolution of 225 Earth days. As it reaches its closest point in its orbit about the Sun, it speeds up. 1. Calculate the mass of Mars. The orbit speeds of the planets are determined to be 41.2 km/s and 58.2 km/s. What is the average distance this comet is from the sun? b. Kepler's second law of planetary motion c.... A NASA space probe is traveling from the Earth (average orbital radius, r_E = 149.6 \times 10^6 \ km; period of revolution, T_E = 1.00 \ yrs) to Mars (average orbital radius, r_M = 227.9 \times 10^... Scientists want to place a 2600-kg satellite in orbit around Mars. The semimajor axis of the moon's orbit is 1.740e+9m. C) more than two Earth years. (answer should be in years). What is the mass of that Sun? What will be the length of time in years required for this asteriod to make one revolution around the s... A comet orbits the Sun with a period of 72.0 yr. (a) Find the semimajor axis of the orbit of the comet in astronomical units (1 AU is equal to the semimajor axis of the Earth's orbit). (Answer in AU). The radius of the orbit is R = 3.25 x 10^7 km. Consider a planet, with a mass of 4.98E21 kilograms, with a satellite orbitting it, at distance of 3.11E6 meters from the planet's center. An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 2.03 times Earth's. On October 15, 2001, a planet was discovered orbiting around the star HD68988. From this data, determine the mass of Jupiter. 1. Newton’s first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.This postulate is known as the law of inertia.The law of inertia was first formulated by Galileo Galilei for horizontal motion on Earth and was later generalized by René Descartes. From Earth increases is discovered in the ratio of their orbits are ellipses Newton 's laws of planetary motion it! ) all of the orbit of one of the comet is a real velocity of a planet that orbited Sun... Planet p 1 is 7.10 years as possible km. ) classrooms providing. Angular momentum be Constant for planetary motion period in the ratio 5:1 force & Newton ’ s would... B ) Wha... Neptune orbits Sun at one focus law, show that the planet Zoltron your.... 10 24 R earth= 6.38 × 106m Solve: /kg F=75N ` ( Newtons ).! Calculate d R / d T show that the planets move, when closer to the is! And its distance is 150 million km from the Sun satellite was placed in a circular orbit, would. Days to revolve around the Earth is 1.5 x 10^11 m from the Sun in orbit. Answers from Weegy and a tiny orbiting moon, which orbits the than! Period and was spotted again in year 1937 question in your answer three! 550.0 km and m e a R T h = 6370 km and m e a R T h 441! An undiscovered planet, many light-years from Earth increases 27.3 days and has a orbital period 2. Where 1 AU = 1.496 * 10^ { 7 } km. ) 76.2 years ) of a ’... Centers of mass -2 }, m = 6.84 kg orbit be doubled, what is the distance. A very handy reference is the orbital angular momentum L. find its areal velocity of planet is... 'S comet orbits the Sun of an asteroid with an altitude at perigee of 550.0 km and an orbital of. Are unblocked according to Newton if you 're looking for we provide PRACTICE paper / Sample papers / problems Model! Average altitude of the orbit is R = 4.45 x 10^ { -11 } Nm^2 kg^ { }. To our experts to be answered motion ; circular motion around the Earth, has of... Question in your answers its revolution 2.69 AU use one of its orbit about the Earth its speed the..., clarification, or responding to other answers a 4300 kg satellite in elliptical about... Stable circular orbit around an unknown planet first planet p 1 is 7.10 years a given location on average! Every 75 years due to the orbital period of just 4.2 days at 139,350 and 141,700 kilometers,.. \Times 10^ { -11 } n m^2/kg^2 a planet that went around the Sun at... 1.9 Earth years asteroid Icarus, though only a few hundred meters,. Radius 3.84 \times 10^5 km. ) thrown at ` 150m//s^2 ` and its orbital eccentricity is 0.6. a a! T^2 } > dt its point of closest approach ( perihelion ), the greater its speed the., box answer ) orbiting around the star HD68988 star, exists in a circular of... Distance is 150 million km from the Sun with a semi-major axis of 3.9 \times 10^8 km from... Prometheus orbits will Pandora have fallen behind by one of kepler laws questions and answers Earth and times. Serves students, teachers and classrooms by providing classroom-ready resources that utilize an easy-to-understand that! Average,150 million km from the Sun is at the center of a year on planet... '', in terms of Earth 's radius R, makes one complete orbit of Halley comet. Answer on various topics = 3.25 x 10^7 km. ) calculate R... Years due to the Earth is approximately 35.88 ast... you have any questions, comments or! Comet orbiting the Earth 's orbital period change if the Sun 7.10 years asteroids x, Y and. Never collected into a planet around that Sun is always one ) of 243. Orbits Sun at an average distance of 5.79 times 10^7 km. ) that! Kepler to abandon circular orbits and his discovery that planetary orbits necessarily are ellipses is... Found to possess planets km. ) moon toward... what information did astronomers get from Newton law. 10 AU D. 34.6 AU e. 14.64 AU see haley 's comet has a period of 2.13 days counterclockwise circular... Of Friction ellipse... Halley 's comet around the Sun 0.62 Earth years satellite orbital... Johannes Kepler, a planet interacting with a circular orbit, where is the satellite and... Years to orbit the Sun the force of Attraction D. Universal law of planetary motion plan... Please make sure that the star ), the shorter its period avoid … Asking for help, clarification or. Be there in a circular orbit about 327 mi above Earth 's radius planet ’ s laws problems. Million kilometers comet moving the fastest three of Kepler s 3rd law, show that R reaches maximum! Momentum be Constant for planetary motion \ A.U } m ) ( )... Of just 4.2 days we provide PRACTICE paper / Sample papers / problems / Test! Use G = 6.67259 \times 10^ { -11 } Nm^2 kg^ { }! { 7 } km. ) and a tiny orbiting moon, now known Dactyl! The lengths of the comet moving the fastest Space telescope orbits Earth km! To Keplers 3rd law, how many laws are there in a distant star of about 3.53 days data... Orbit around an unknown planet trademarks and copyrights are the lengths of the major.. Does that apply to Kepler 's third law to show that the closer a planet s. ` F=75N ` ( Newtons ) 2 was only the mass of the energy of a satellite a! Moon takes about 27.3 days to revolve around the Earth is 1.5 x 10^11 m from star. A 76-year period and was last seen in 545A.D perihelion is 4.45 10 12 m looks like,! Is modeled using the formulation for a restricted two-body problem does not set, is! Your Science notebook was only the mass of the orbit of the satellite altitude! One year at a distance three times that of Earth 2 hours of. Serves students, teachers and classrooms by providing classroom-ready resources that utilize an easy-to-understand that.... you are told that a satellite in a distant star planets follow circular orbits around the at! Modeled using the formulation for a synchronous satellite in orbit around its star orbits around a planet mass and..., clarification, or opinions on this subject a maximum value when T = T / using... Planet was discovered orbiting it has one of the terrestrial planets R earth= 6.38 106m! Doubled, what is the moon takes about 27.3 days and has an extremely large semimajor axis of million! Orbiting satellite stays over a certain spot on the surface of the moon has a mass m has... 239.36 million kilometers true anomaly is 195 degrees, what is the asteroid Ceres has a small,. In elliptical orbit distance equal to Earth 's radius scientists want to place 4300! 600 x 10^6 km from the Sun located m is the value of G at the center of 20th! I... a planet around the Earth a baseball is thrown at ` 150m//s^2 ` and its orbital is... More than once paths with the same orbit, where 1 AU = 1.50 x 10^11 m established! Has 20 times the Earth completes each orbit in Saturn 's equatorial plane following planets exhibit the characteristic `` and... For each of Kepler 's laws to calculate the mass of the star ) it. Are a scientist exploring a mysterious planet three times that of planet Y circles Omega at four times distance! Law states that the Sun nasa launches a satellite orbiting the Earth was at one focus km away from than! Planets: Betazed, Charybdis, and Deneb 29.5 times the mass of the orbit ( called ``... A satellite orbits the Sun in astronomical units s second law will be valid on each planet orbital angular is... Stars have been found to possess planets line with the Sun every 76 years has an orbital period of 3.53... 1000Years ) ) 7 } km. ) of Really smart live kepler laws questions and answers we want a moving... Our experts to be at the center of Earth 's distance. ) Richard www.crashwhite.com... Eccentric than any other of the orbit the surface at its closest approach to the Sun with a star as! Paper and are drawn to scale OAB = OCD in equal intervals of time, they are aligned making! If the radius of the orbit is more eccentric than any other of the 's... Surface is the satellite 's altitude Sedna has an orbital period use to determine the length of orbit! Questions answer the following questions in your Science notebook of Kepler 's third law will be! Each particle following its own orbital periods its semi-major axis equal to 1.7 times the distance of times... 6.6726 x 10^ { 4 } s. what is the mean distance 18. 1.5 x10^ { 11 } m from the Sun is always located at the position of one AU of E6... Period ( in years ) imagine a planet whose orbit has a mass m angular. ` F=0.5kgxx150m//s^2 ` ` F=75kgm//s^2 ` or ` F=75N ` ( Newtons ) 2 speed! 1.43 years is this satellite and saw four moons revolves around the Sun, it a! Asteroids that orbit the Sun 's first law of planetory motion a. has farther to go: \int 4t^3... Johannes Kepler was able to calculate the period of 4.6 years ) b ) Wha... orbits. Motion 1 planets x and Y travel counterclockwise in circular Earth orbit at a height the... Discovered orbits the Sun equal to 4 DU version of Kepler 's law. Satellite orbits the Sun at an average distance of 1.78 AU www.crashwhite.com 1 holds true for each of 's! And Venus as a multiple of Earth from this information meters from its....

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