acceleration due to gravity on uranus
For general feedback, use the public comments section below (please adhere to guidelines). The mass of Uranus is The mass of Uranus is 9: (a) The Sun orbits the Milky Way galaxy once each with a roughly circular orbit averaging light years in radius. g=Gr2M. Acceleration due to gravity exists as the acceleration gained by an object due to gravitational force.. Its SI unit exists m/s2. Uranus' gravitational pull would be about 91% of You multiply that times the mass of the Earth, which is in kilograms. The formula is: where a) Compute the acceleration due to gravity on the surface of Venus from the above data. The planet would be a space probe with a mass of 250Kg, The mass of Uranus exists m = 8.681 10kg, Therefore, the correct answer is option D. Uranus. 1 How do you calculate acceleration due to gravity on Uranus? However, its radius is also much larger than Earth's (about 8.1 times that of Earth). Planet X has an acceleration due to the gravity of 20 meters per second per second. Answer (1 of 6): As F=GMem/r g=GMe/r (1) (1) is for earth's mass. This occurs on the Earth. Calculate the value of acceleration due to gravity on Venus's surface. Determine the acceleration due to gravity on a planet that has half the mass of the earth and a radius that is 1/3 the times of earth's radius. A planet has a mass of 7.48 \times 10^{23} kg and a radius of 2.61 \times 10^6 m. (a) What is the acceleration due to gravity on this planet? The mass of Pluto is 1.4 \times 10^{22}\ kg. up. Surface Gravity. This site allows you to perform various gravity calculations based on Isaac Newton's law of universal gravitation. 9.8 m/s 2 is the acceleration due to gravity near the Earth's surface. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. A distance planet is found to have a mass of 7.5 x 10^{25}kg and a radius of 7000km. To illustrate that Pluto has a minor effect on the orbit of Neptune compared with the closest planet to Neptune: (a) Calculate the acceleration due to gravity at Neptune due to Pluto when they are $4.50\times 10^{12}\textrm{ m}$ apart, as they are at present. (b) A 2000-kilogram car is rounding a curve o. Saturn has an equatorial radius of 6.00 x 10 7 m and a mass of 5.67 x 10 26 kg. Although Uranus is much larger than Earth, its surface gravity is less than the surface gravity on Earth. And heres a link to the NASAs Solar System Exploration Guide to Uranus. Who is Katy mixon body double eastbound and down season 1 finale? The radius of Uranus is about 2.33 x 107 m and its mass is 8.68 x 1025 kg. The surface gravity on Uranus is about 86% of the surface gravity on Earth, so if you weigh 100 pounds on Earth, you would weigh 86 pounds on Uranus (assuming you could find someplace to, well, stand). This website uses cookies to improve your experience while you navigate through the website. b) How much would a 64.2kg person weigh on this planet? (b) How much would a 77.7 \ kg person weigh on this planet? What would be the acceleration due to gravity on this planet?s surface? If someone were to stand on Uranus, they would F It appears on the limb at the 11 o'clock position (b) How much would a 5.54 kg person weigh on this, A 81 kg explorer lands on Planet X, where the gravitational acceleration is 10.5 m/s^2. Earth's gravity. It does not store any personal data. The mass of the moon is 7.35 times 10^22 kg and the radius of the moon is 1.74 times 10^6. Constant m is the mass of the planet and r is the radius of the planet. [Latex: d=\frac{gt^2}{2}], How fast is an object going after falling for t seconds? Then it is the same as If the mass of a planet is 0.103 times that of the Earth and its radius is 0.592 times that of the Earth, estimate the gravitational field g at the surface of the planet. What is the acceleration due to gravity on all the planets? Saturn has an equatorial radius of 6.00 times 10^7 m and a mass of 5.67 times 10^{26} kg. {\displaystyle m} Uranus is the second least dense planet in the Solar System (after Saturn). (a) The Sun orbits the Milky Way galaxy once each 2.60 10 8 y, with a roughly circular orbit averaging 3.00 10 4 light years in radius. Mars has a mass of 6.42*10^23 kg and a radius of 3.40*10^6m. The value of the acceleration due to gravity is: {eq}\begin{align*} A new planet has been discovered which has a mass of 4.56 \times 10^{24} kg, and a radius of 7.09 \times 10{^6} m. What is the gravitational acceleration near the surface of this planet? The gravitational force is a fictitious force. (a) What would be the acceleration due to gravity at the surface of that new planet? The surface gravity may be thought of as the acceleration due to gravity experienced by a . Its SI unit exists m/s2. How do you calculate acceleration due to gravity on Uranus? This cookie is set by GDPR Cookie Consent plugin. The values in the table have not been de-rated for the centrifugal force effect of planet rotation (and cloud-top wind speeds for the gas giants) and therefore, generally speaking, are similar to the actual gravity that would be experienced near the poles. Calculate the acceleration due to gravity at Neptune due to Uranus when they are 2.50 \times 1 ^ Calculate the gravitational force between the Sun and Jupiter. Uranus being extremely massive compared to Earth surprisingly The cookie is used to store the user consent for the cookies in the category "Performance". A hypothetical planet has a mass one-third of and a radius three times that of Earth. get on earth. Use this form if you have come across a typo, inaccuracy or would like to send an edit request for the content on this page. A 16 kg satellite has a circular orbit with a period of 2.6 h and a radius of 9.4 times 106 m around a planet of unknown mass. These two gravitational parameters are related by the equation: Using this relationship, we can solve for the acceleration due to gravity on any planet so long as we know the planets size. {\displaystyle M} [Latex: v=sqrt{2gd}], What has been the average velocity of an object that has been falling for t seconds? What is the gravitational acceleration at distance of one planet diameter above the surface of the planet? Depending on the size, mass and density of the object, the gravitational force it exerts varies. This is the force generated by the pull of . Gravity on Uranus. The information you enter will appear in your e-mail message and is not retained by Phys.org in any form. For satellites in orbit, the far-field model is sufficient for rough calculations of altitude versus period, but not for precision estimation of future location after multiple orbits. The mass of Mars is 6.418*10^23kg and its radius is 3.38*10^6 m. What is the acceleration due to gravity (a) on the surface of the moon? (b) How much would a 5.7 kg person weigh on this planet? and Now as the mentioned planet have mass 3 times that of earth, so (1) becomes : g'=G3Me . The negative sign indicates that the force is attractive (points backward, toward the source). The mass and radius of the Earth are not necessary to sol, A planet has a mass of 6.06\times 10^{23} kg and a radius of 3.99 \times 10^6 m. \\ a) What is the acceleration due to gravity on this planet? What is the gravity on Uranus in Newtons? And you can verify that the units work out. Formula for Acceleration Due to Gravity These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance. B How long does pain last after brain surgery? Rather than undergoing an acceleration, objects in free fall travel along straight lines (geodesics) on the curved spacetime. 1 Can you use the same microSD card on a new Switch? This is the standard for measuring gravity on other planets, which is also expressed as a single g. In accordance with Isaac Newton's law of universal gravitation, the gravitational attraction between two bodies can be expressed mathematically as F = G (m1m2/r2) where F is the force, m1 and m2 are the masses of the objects interacting, r is the distance between the centers of the masses and G is the gravitational constant (6.67410-11 N m2/kg2 ). Planetary Fact Sheet Ratio to Earth Values. The mass of Uranus exists: 8.681 10kg. Calculate the force of the Earth's gravity on a spacecraft 2 Earth radii above the Earth's surface, if its mass is 1,402 kg. m 9.8 m/s/s. 9.0 (A light year . Uranus; Mass (kg) 8.6832E+25: Mean Radius (km) 25362: m (mass relative to Earth) 14.536: r (mean radius relative to Earth) 3.981: g-force: 0.917: Acceleration (m/s/s) 8.995: Gravity Solutions. (b) How does it compare to Earth's acceleration due to gravity? a. G = 6.673 \times 10^{-11}\ m^3/(kg.s^2), radius of planet y = 2439700\ m, mass of planet y = 3.302 \time, Determine the value for the acceleration due to gravity at the surface of the planet Mars, given the following data: Mass of Mars = 6 .42 x 10^{23} kg Radius of Mars = 3.37 x 10^6 m, Calculate the gravitational field strength, g, on the surface of Jupiter. Acceleration due to gravity is not the same on all planets. Medical research advances and health news, The latest engineering, electronics and technology advances, The most comprehensive sci-tech news coverage on the web. experience 89% of the gravity on Earth. If you could stand on the surface of Uranus (you cant, for so many reasons), you would experience 89% the force of gravity that you experience on Earth. Since All are of Dimension L , the result of sum is also equal to L. How do we know acceleration due to gravity is 9.8 m/s 2? Then the attraction force This calculates the mass of the object. have low gravity. The radius of Neptune is about 2.21 x 10^7 m and its mass is 1.03 x 10^{26} kg. In fact, its mean radius of 3.389 km is the equivalent of roughly 0.53 Earths, while its mass (6.41711023 kg) is just 0.107 Earths. b) A cli on Miranda is 5.00 km high. You can also enter acceleration due to the pull of gravity for other places in the solar system such as Mars (3.71 ms-2), Moon (1.62 ms-2), Titan (1.35 ms-2) or Europa (1.31 ms-2) for example. Compute the gravitational force between the sun (M=1.99x10^{30} kg) and the planet Neptune (m=1.72x10^1 times the mass of the earth, orbital radius r =30.012 A.U.). What is the most common source of genetic variation? Using the integral form of Gauss's Law, this formula can be extended to any pair of objects of which one is far more massive than the other like a planet relative to any man-scale artifact. If the mass of a planet is 3.80\times 10^{24} kg, and its radius is 2.20 \times 10^6 m, what is the magnitude of the gravitational field, g, on the planet's surface? With a mean radius of 4.6023108 km2, a mass of 4.86751024 kg, and a density of 5.243 g/cm3, Venus is equivalent in size to 0.9499 Earths, 0.815 times as massive, and roughly 0.95 times as dense. What is acceleration due to gravity derive an expression for acceleration due to gravity? (a) What is the acceleration due to gravity on Mars? Accl'n due to gravity is positive when an object is moving down The cookie is used to store the user consent for the cookies in the category "Other. 4 What is the principle of H * * * * * * * * * * of dimension? Another way to look . Just clear tips and lifehacks for every day. What is the gravitational acceleration on the surface of the new planet? If the mass of a planet is 3.30 times 10^{24} kg, and its radius is 4.80 times 10^6 m, what is the magnitude of the gravitational field, g, on the planet's surface? 2 85 kg / m 3, 3911. It is assumed that the object started freefall on the surface of the body (i.e., the initial distance from the body's center of gravity was the radius of the body). On this Wikipedia the language links are at the top of the page across from the article title. All bodies accelerate in vacuum at the same rate, regardless of the masses or compositions of the bodies;[1] the measurement and analysis of these rates is known as gravimetry. What are the Physical devices used to construct memories? a. Mass (kg) 1.0243E+26. You mean acceleration due to gravity. 59 kg / m 3, 2079. This is the steady gain in speed caused exclusively by the force of gravitational attraction. Get weekly and/or daily updates delivered to your inbox. Is gravity an acceleration? Its density, meanwhile, is about 0.71 of Earths, coming in at a relatively modest 3.93 g/cm3. \\, A planet has a diameter 4 times that of the earth and a mass 16 times that of the earth. M The formula to find a planet's acceleration due to gravity (g) is as follows: g = GM r2 where G is the gravitational constant, M is the mass of the planet, and r is the planet's radius. All other trademarks and copyrights are the property of their respective owners. Uranus/Orbital period The surface gravity may be thought of as the acceleration due to gravity experienced by a hypothetical test particle which is very close to the object's surface and which, in order not to disturb the system, has negligible mass. In the first equation above, g is referred to as the acceleration of gravity. A planet has a mass of 6.22*10^{23} \ kg and a radius of 2.51*10^6 \ m. (a) What is the acceleration due to gravity on this planet? IS a uniform linear acceleration. The. is the gravitational constant, and (b) On the surface of Mars? The acceleration due to gravity also follows the unit of . This . {/eq}. If the mass of Uranus is {eq}8.681 \times 10^{25} {/eq} kg and the radius of Uranus is {eq}2.556 \times 10^7 {/eq} m, what is the acceleration due to gravity on Uranus? How many kilocalories of heat does an expenditure of 477 kJ produce? A better way to understand this is to compare the . You also have the option to opt-out of these cookies. The accepted value of the acceleration due to gravity is 9.81 m/s 2 . Compute the acceleration of gravity at the equator of Saturn. But opting out of some of these cookies may affect your browsing experience. is a unit vector directed from the field source to the sample (smaller) mass. All Modalities. The surface gravity of . You'll get a detailed solution from a subject matter expert that helps you learn core concepts. How far has an object fallen after t . T = 2 L g. T=2\pi\sqrt {\frac {L} {g}}\\ T = 2 gL. Compute the gravitational force between the sun (M=1.99\times10^{30} kg) and the planet Mars (m=1.08\times10^{-1} times the mass of the Earth, orbital radius r = 1.524 A.U.). A newly discovered planet has 3 times the mass and 4 times the radius of Earth. That is, the free-falling object has an acceleration of approximately 9.8 m/s/s.Investigate! You can express acceleration by standard acceleration, due to gravity near the surface of the Earth, which is defined as g = 31.17405 ft/s = 9.80665 m/s. Universe Today. b. Click to share on Facebook (Opens in new window), Click to share on Twitter (Opens in new window), Click to share on Reddit (Opens in new window), NASAs Solar System Exploration Guide to Uranus. A candle is located at a distance of 5.0 cm from the mirror. If air resistance is ignored, on which planet would, A boy starts working front point A and walks a love fowards north and stops at point Now, he furns 136. to his right and walks loleme to reach a point M In physics, gravity (from Latin gravitas 'weight') is a fundamental interaction which causes mutual attraction between all things with mass or energy [clarification needed].Gravity is, by far, the weakest of the four fundamental interactions, approximately 10 38 times weaker than the strong interaction, 10 36 times weaker than the electromagnetic force and 10 29 times weaker than the weak . See the acceleration due to gravity formula and find the value of gravity on Earth. However, you may visit "Cookie Settings" to provide a controlled consent. Determine the time the ball to fall off the surface of Uranus? &\approx \boxed{\mathbf{3.26\;\rm m/s^2}} Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but has radius 1/3 R_Earth. It has enough volume to hold 63 Earths, but it only has 14 times our mass. Uranus: 8.87: 7: Venus: 8.87: 8: Mars: 3.71: 9: Mercury: 3.7: 10: Moon: 1.62: 11: Pluto: 0.58: Source: NASA. All of this works out to a surface gravity of 11.15 m/s2 (or 1.14 g), which again is measured at Neptune's cloud tops. Saturn Observational Parameters Discoverer: Unknown Discovery Date: Prehistoric Distance from Earth Minimum (10 6 km) 1205.5 Maximum (10 6 km) 1658.6 Apparent diameter from Earth Maximum (seconds of arc) 19.9 Minimum (seconds of arc) 14.5 Mean values at opposition from Earth Distance from Earth (10 6 km) 1277.13 Apparent diameter (seconds of arc) 18.8 Apparent visual magnitude 0.7 Maximum . Thank you for taking time to provide your feedback to the editors. The acceleration experienced by a freely falling item due to the gravitational force of a massive body is the acceleration due to gravity. What is the principle of H * * * * * * * * * * of dimension? When you plug these numbers into the Universal Gravitation Law equation, you get an acceleration due to gravity of about 7.8 m/s^2. I think Uranus' gravity is about 90.6% as strong as Earth's. ^Acceleration due to gravity is always negative, while the The table below shows comparative gravitational accelerations at the surface of the Sun, the Earth's moon, each of the planets in the Solar System and their major moons, Ceres, Pluto, and Eris. (a) Calculate Earth's mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and the radius of the Earth is 6371 km from center to pole. 4 1 0 2 2 ) Answer: The value of acceleration due to gravity on the moon is 1.625 m/s 2. Calculate the force of gravity on a spacecraft 32000 km (5 earth radii) above the Earth's surface if its mass is 1800 kg. To find the Martian weight, we divide the weight on earth by the earth's force of gravity, which is 9.81m/s 2. With a mean radius of 25,360 km and a mass of 8.68 1025 kg, Uranus is approximately 4 times the size of Earth and 14.536 times as massive. Gravity is measured by the acceleration that it gives to freely falling objects. The acceleration of gravity on its surface is 8.96 m/s^2. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. 107 m. in m/s2. (b) Calculate the acceleration due to gravity at Neptune due to Uranus, presently about 2.50 10 12 m apart, and compare it with that due to Pluto. For gaseous bodies, the "surface" is taken to mean visible surface: the cloud tops of the gas giants (Jupiter, Saturn, Uranus and Neptune), and the Sun's photosphere. The surface gravity on Uranus is about 86% of the surface gravity on Earth, so if you weigh 100 pounds on Earth, you would weigh 86 pounds on Uranus (assuming you could find someplace to, well, stand). (a) Compute the acceleration of gravity at the equator of Saturn. The mass of Uranus is 8.62 10 25 kg. The Science. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second. Miranda, a satellite of Uranus, is shown in part a of the gure below. Here is how the Dimensionless Specific Speed calculation can be explained with given input . Calculate the force of gravity on a spacecraft 19,200 km (3 earth radii) above the Earth's surface if its mass is 1,000 kg. For Uranus (mass =14.5 Earths, radius = 25400km) the acceleration due to gravity is 9.0ms2. {\displaystyle m_{1}} acceleration due to gravity is measured in (m/s 2) curriculum-key-fact Acceleration due to gravity is 9.81 m/s 2 on Earth but it is acceptable to use 10 m/s 2 for calculations. 8.995 m/s2 . 7. The magnitude of this force is what we know as the weight of the object. You can't really blame us. a) What is the acceleration due to gravity on this planet? Like its neighbor Neptune, Uranus likely formed closer to the Sun and moved to the outer solar system about 4 billion years ago, where it is the seventh planet from the Sun. {\displaystyle G} I hope you can help me with this problem thank you. Uranus has a thick atmosphere made of methane, hydrogen, and helium. 1 acceleration of free fall on Uranus [g] = 88,7 decimeter/second [dm/s] From: To use this online calculator for Dimensionless Specific Speed, enter Working Speed (Nturbine), Power Of Hydroelectric Plant (Phy), Water Density (Water), Acceleration Due To Gravity (g) & Height Of Fall Of Water (Hf) and hit the calculate button. However, thanks to its high density - a robust 5.427 g/cm3, which is just slightly lower than Earth's 5.514 g/cm 3 - Mercury has a surface gravity of 3.7 m/s 2, which is the equivalent of 0.38 g. If I weigh 741 N on Earth and 5320 N on the surface of a nearby planet, what is the acceleration due to gravity on that planet? arrow_forward. This acceleration is termed as the acceleration due to gravity. This cookie is set by GDPR Cookie Consent plugin. The same formula applies to surface gravity: For the Earth, (mass = 1, radius = 6370km) the acceleration due to gravity on the surface is 9.8ms2. Earth's acceleration due to gravity is 9.81 m/s^2. {\displaystyle m_{2}} Calculate the force of gravity on a spacecraft 12800 km above the Earth's surface if its mass is 700 kg. is the mass of the field source (larger), and m This makes Mercury the smallest and least massive planet in the solar system. The third planet from the sun, Earth is the handiest region in the acknowledged universe shown to host existence. Your feedback is important to us. However, when it comes to size, mass and density, Mars is comparatively small. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. The acceleration due to gravity at any point primarily depends on the mass of the celestial body and the distance of that point from the center of that body. It would feel very similar to Earth gravity. Joule's machine is shown on the right. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s 2. b. F = G M m ( R + h) 2 - - - - (1) This is the equation of force acting on the object due to gravitation and will be equal to the force acting on the object due to acceleration due to gravity at a height h. i.e. at home, you would only weigh 91 lbs. Rather than undergoing an acceleration, objects in free fall travel along straight lines on the curved spacetime. What would it be like to walk on other planets? Where is the acceleration due to gravity is zero? Does it seem a little strange to you that an planet like Uranus, with the 14 times the mass of Earth, would pull at you with less gravity if you could stand on its surface? Locations of significant variation from this value are known as gravity anomalies. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The mass of the Sun is 1.99*10^{30} kg. acceleration of the ball upward was positive due to what threw it, Venus has a mass of 4.86 10^{24} kg and a radius of 6.05 10^6 m. What is the acceleration due to gravity on Venus? The period of a simple pendulum is. Calculate the image distance. [Latex: v=gt], How long (in seconds) does it take an object to fall distance d? b How much would a 79.4 kg person weigh on this planet? The mass of the Sun is 1.99 x 1030 kg. Express your result. g&=\sqrt{\dfrac{6.67\times 10^{-11}\;\rm m^3/kg.s^2\times 8.68\times 10^{25}\;\rm kg}{\left ( 2.33\times 10^{7}\;\rm m\right )^2}}\\ Earth is expected to be 4.54 billion years old, plus or minus about 50 million years. Calculate the force of gravity on a spacecraft 19200 km (3 earth radii) above the Earth's surface if its mass is 1600 kg. There is no gravitational acceleration, in that the proper acceleration and hence four-acceleration of objects in free fall are zero. A) 5.33 m/s^2 B) 1.78 m. (a) What is the acceleration due to gravity on the surface of the Moon? A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15. object which increases due to the gravitational pull of the {/eq}. These cookies will be stored in your browser only with your consent. The general rule is that acceleration decreases with height: higher objects have less acceleration. The default value is set to 9.80665 ms-2 which is the standard acceleration due to earths gravity. This force causes all free-falling objects on Earth to have a unique acceleration value of approximately 9.8 m/s/s, directed downward. Mass does not affect the speed of falling objects, As there is only gravity acting on them. However, for those who have gone into space or set foot on the Moon, gravity is a very tenuous and precious thing. The approximate conversion for weight from Earth to Uranus would be. Similarly, if you weighed 100 lbs on Earth you would weigh 88.9 lbs on Uranus. A planet has a radius of about 0.85 times Earth's radius and a mass of only 0.74 times Earth's mass. Acceleration due to Gravity: The acceleration due to gravity on a planet depends on its mass and radius. In the coming decades, knowing how to simulate it will come in handy when we start sending astronauts on deep space missions. Calculate the acceleration due to gravity on this planet. Acceleration due to gravity Welcome! {\displaystyle m} To find the weight on Planets, we divide the weight on earth by the earth's force of gravity, which is 9.81m/s 2. {/eq} kg. Calculate the acceleration due to gravity at Neptune due to Uranus when they are 2.50 \times 1. On Earth, an object during free fall is accelerated by the gravitational force acting on it. Free Falling objects are falling under the sole influence of gravity. can be expressed as: Here 84years Earth, Neptune, Uranus, Jupiter and Saturn which are 5447. The acceleration due to gravity at/outside the surface of a planet/moon is given by the following equation: At the surface of Uranus, {eq}r=R Gravity on Uranus. Some celestial bodies do not have their own heat and light. (b) How much would a 54.3-kg person weigh on this planet. If you could stand on the surface of Uranus (you cant, for so many reasons), you would experience 89% the force of gravity that you experience on Earth. An object rests on the surface of planet y. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. Weight. What is the acceleration due to gravity on the surface of Jupiter? {\displaystyle \mathbf {g} } Gravity is measured by the acceleration that it gives to freely falling objects. A planet has a mass of 5.30 x 10^{23} kg and a radius of 3.37 x 10^6 m. a. b. Equation: What is the acceleration due to gravity at the surface of this planet relative to g the acceleration due to gra. Heres the gravity of Mercury, and heres the gravity of Jupiter. Mercury has a mass of 3.30*10^23 kg and a radius of 2.44*10^6m. A free-falling object is an object that is falling solely under the influence of gravity. Analytical cookies are used to understand how visitors interact with the website. What is the acceleration due to gravity on?
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