acceleration due to gravity on uranus acceleration due to gravity on uranus

a) What is the acceleration due to gravity on this planet? 6 7 3 1 0 1 1 ) ( 7 . (g = 9.8 m/s^2), Find the gravitational force acting on the Sun by the Earth. Question 3: What is the acceleration due to gravity on the moon? Being that it takes the weight of an object on earth and converts it to Martian weight, the formula is Weight on Mars= (Weight on Earth/9.81m/s2) * 3.711m/s2. A soccer ball is moving at a speed of 3.00 m/s when he throws a pass to a player 19.0 m straight downfield. On Earth is it 9.8 m/s2. For instance, Mars has a mass of 6.4171 x 10 23 kg, which is 0.107 times the mass of Earth. 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. [Latex: v_{Avg}=\frac{gt}{2}], What has been the average velocity of an object that has fallen for distance d meters? Uranus orbits the Sun once every 84 years, taking an average of seven years to pass through each of the dozen constellations of the zodiac. The moon's radius is 1.74 times 10^6 m and its mass is 7.35 times 10^{22} kg and calculate the speed and the orbital period of a satellite in a c, A 26 kg satellite has a circular orbit with a period of 2.4 h and a radius of 4.5 \times 10^6 m around a planet of unknown mass. Answer: The value of acceleration due to gravity on the moon is 1.625 m/s 2. Having evolved over the course of billions of years in Earth's environment, we are used to living with the pull of a steady 1 g (or 9.8 m/s2). Determine the time the ball to fall off the surface of Uranus? 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. Titania, the largest moon of the planet Uranus has 1/8th the radius of the earth and 1/1700th the mass of the earth. There are none. Mass of the Earth = 5.98 \times 10^{24} \; kg Radius of Earth = 6378100 \; m G = 6.6726 \times 10^{-11} \; N-m^2/kg^2 Mass of Pluto/Mass of Earth = 0.021 Radius of Pluto/Radius of Earth = 0.187, If a planet has 2 times the radius of the Earth and 8 times the mass, what is the gravitational acceleration at the surface of the planet? The acceleration due to gravity on the surface of the moon is 1.620 m/s 2. When the depth d = 0, the value of g on the surface of the earth g d = g. When the depth d = R, the value of g at the centre of the earth g d = 0. 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. What is the acceleration due to gravity on Mercury? 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. The Science. This force causes all free-falling objects on Earth to have a unique acceleration value of approximately 9.8 m/s/s, directed downward. Calculate the gravit. 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? part may be reproduced without the written permission. Since we now know the acceleration due to gravity on different worlds, we can easily determine how much an object weighs on those bodies. In summary, the gravitational pull of Uranus on its moon Titania is 10 times greater than the gravitational pull of Earth on her moon. Gravity on Uranus. a. Given that humanity evolved in a 1 g environment, knowing how we will fare on planets that have only a fraction of the gravity could mean the difference between life and death. 9.8 meters per second per second (yes, that is two lots of "per second") can be written 9.8 m/s/s, but is usually written:. The surface gravity, g, of an astronomical or other object is the gravitational acceleration experienced at its surface. and Terms of Use. The radius of Uranus is about 2.33 \times a. (b) How does it compare to Earth's acceleration due to gravity? Then it is the same as What is the acceleration of free fall on the surface of planet X? The distances between planets and between the planets and the Sun are (by many orders of magnitude) larger than the sizes of the sun and the planets. Calculate the speed and the orbital period of a satellite in a circular orbit right above the Moon's surfac. that of acceleration ie m/s2. \\, A planet has a diameter 4 times that of the earth and a mass 16 times that of the earth. 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. The gravitational acceleration vector depends only on how massive the field source (g = 9.8 m/s^2), Determine the acceleration due to gravity on a planet that has half of mass of the Earth and a radius that is 1/3 the times of Earth's radius. {/eq}. On this Wikipedia the language links are at the top of the page across from the article title. b) What is the weight o, If a planet has 3 times the radius of the Earth but has twice the density as the Earth, what is the gravitational acceleration at the surface of the planet? 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. How is the acceleration of a planet related to its size? Calculate the free-fall acceleration on the Venus surface. In consequence both the sun and the planets can be considered as point masses and the same formula applied to planetary motions. A planet has a radius of about 0.85 times Earth's radius and a mass of only 0.74 times Earth's mass. Observe that the velocity-time data above reveal that the objects velocity is changing by 9.8 m/s each consecutive second. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. Answer: On the surface of the moon, the distance to the center of mass is the same as the radius: r = 1.74 x 10 6 m = 1 740 000 m. The acceleration due to gravity on the surface of the moon can be found using the formula: g = 1.620 m/s 2. Compute the gravitational force between the sun (M=1.99x10^30 kg) and the planet Mercury (m=5.50x10^-2 times the mass of the earth, orbital radius r= 0.387 A.U.). Analytical cookies are used to understand how visitors interact with the website. Calculate the force of gravity on a spacecraft 12800 km (2 earth radii) above the Earth's surface if its mass is 1000 kg. The acceleration due to gravity of Earth, for example, is known to be about 9.81 m/s or 32.2 ft/s. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. (a) What is the acceleration due to gravity on Mercury? Source: 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. Uranus: 8.7 x 10 25: 2.6 x 10 7 : Neptune: 1.0 x 10 26: 2.5 x 10 7 : Pluto: 1.3 x 10 22: 1.2 x 10 6 : Once you complete the third column, you can see how strong (or weak) gravity is on other planets. 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. On Earth, falling objects experience an acceleration of 9.8 m/s 2 due to Earth's gravitational force, and that is defined as 1 g. The easiest way to discuss the gravitational force on other planets is to express it as a fraction of Earth's g-force . A planet has a mass of 6.15, 1023 kg and a radius of 3.25, 106 m. a What is the acceleration due to gravity on this planet? It is represented by the SI unit m/s 2 as g. G is the universal gravitational constant, with a value of 6.673 x 10-11 N m 2 Kg-2; M = Earth's mass = 6 x 10 24 kg; r = radius of the earth = 6 kg. 9.8 m/s 2 is the acceleration due to gravity near the Earth's surface. 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 times 10^23 kg Radius of Mars = 3.37 times 10^6 m. What is the acceleration due to gravity at the surface of a planet of mass 4 \times 10^{23} kg, and a radius of 2,500 km? However, you may visit "Cookie Settings" to provide a controlled consent. In the first equation above, g is referred to as the acceleration of gravity. [Latex: v=gt], How long (in seconds) does it take an object to fall distance d? See the acceleration due to gravity formula and find the value of gravity on Earth. {\displaystyle m_{1}} Note that the gravity is the acceleration toward the center of the planet.Gravitational acceleration . Use the law of gravitation to calculate the mass of this planet. {\displaystyle m} Rather than undergoing an acceleration, objects in free fall travel along straight lines on the curved spacetime. It contains both magnitude and direction. {\displaystyle \mathbf {g} } All in all, gravity runs the gamut here in the solar system, ranging from 0.38 g on Mercury and Mars to a powerful 2.528 g atop Jupiter's clouds. 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. You can specify conditions of storing and accessing cookies in your browser, This table shows the acceleration due to gravity on four different planets what planet is a person standing on if the person has a mass of 85.0 kg and weighs 305 N mercury is 3.59 Venus 8.87 Earth 9.81 mars 3.77, What is the mass of 3.01x 1022 molecules of phosphorus, P4 ? The mass of Uranus is 8.68 ? By clicking Accept All, you consent to the use of ALL the cookies. So how exactly do the planets of our solar system stack up in terms of their gravity compared to Earth? The cookie is used to store the user consent for the cookies in the category "Other. 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. How many kilocalories of heat does an expenditure of 477 kJ produce? When the dimensions of a body are not trivial compared to the distances of interest, the principle of superposition can be used for differential masses for an assumed density distribution throughout the body in order to get a more detailed model of the "near-field" gravitational acceleration. Air resistance is neglected. r Calculate the force of Earth's gravity on a spacecraft 12,800 km (2 Earth radii) above the Earth's surface if its mass is 1,050 kg. For a geostationaryg, or three percent of the gravity we feel right now. All other trademarks and copyrights are the property of their respective owners. g is the acceleration due to gravity measured using m/s 2. A mass of 10 kilograms would weigh how much on that planet? Who is Katy mixon body double eastbound and down season 1 finale? The radius of Earth is 6.4 10 6 m. Substituting the values in the formula we get-. It has enough volume to hold 63 Earths, but it only has 14 times our mass. Because over here, gravity is in meters cubed per kilogram second squared. This cookie is set by GDPR Cookie Consent plugin. b. have low gravity. The moon's radius is about 1.74 \times 10^6\ m and its mass is 7.35 \times 10^{22}\ kg. The force exerted by the earth on an object is called the gravitational force (F). Can you tell how much an object weighs on other planets? 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. A better way to understand this is to compare the . b) How much would a 64.2kg person weigh on this planet? 6 How is the gravity of a planet related to its size? Its mass is unknown. 1 What is are the functions of diverse organisms? b. What would be the acceleration due to gravity on this planet?s surface? This problem has been solved! Hence g=0 at the center of the earth. 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? Uranus's gravity is 8.7m/s2, which is less than Earth's As a result, its surface gravity (again, measured from the top of its clouds) is just slightly more than Earth's, which is 10.44 m/s2 (or 1.065 g). 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 ). The mass of Jupiter is 317,8000 times that of earth, and its radius is 10,960 times that of earth. I hope you can help me with this problem thank you. In Einstein's theory of general relativity, gravitation is an attribute of curved spacetime instead of being due to a force propagated between bodies. That is, the free-falling object has an acceleration of approximately 9.8 m/s/s.Investigate! Substitute 2 x 106 m for h, 9.8 ms-2 for g and 6.4 x 106 m for r in the above expression to calculate gh. 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. What is the acceleration due to gravity on Pluto? A newly discovered planet has a mass 1.5 times that of the Earth and a radius 2.0 times that of the Earth. {R.AM for phosphorus is 31} *, A container of gas has a pressure of 745 mm Hg and room temperature is 18 C. How does the temperature of the system change when the pressure is change The distance between them is 450*10^{10} m. A planet has a mass of 5.43x10^23kg and a radius of 3.06x10^6m. A exoplanet has 7 times the mass of Earth, but has the same density as Earth. Uranus took shape when the rest of the solar system formed about 4.5 billion years ago - when gravity pulled swirling gas and dust in to become this ice giant. The acceleration due to gravity on planet Uranus is 8.82m/s. However, its radius is also much larger than Earth's (about 8.1 times that of Earth). These cookies ensure basic functionalities and security features of the website, anonymously. as a ratio to our acceleration of gravity). . These cookies track visitors across websites and collect information to provide customized ads. The mass of the moon is 7.35 times 10^22 kg and the radius of the moon is 1.74 times 10^6. This calculates the weight on mars from the weight of the object on earth. If air resistance is significant compared with the weight of the falling object, then the gradient of the speed-time graph will decrease. The mass of Uranus exists: 8.681 10kg. Uranus is more . All in all, gravity runs the gamut here in the solar system, ranging from 0.38 g on Mercury and Mars to a powerful 2.528 g atop Jupiter's clouds. Understanding the effect of zero-gravity on the human body has been essential to space travel, especially where long-duration missions in orbit and to the International Space Station have been concerned. The. (b) How much would a 79.2-kg person weigh on this planet? What is the acceleration due to gravity on Pluto? A ball is dropped from Uranus from a height of 6.2 meters. The acceleration due to gravity is positive wherever you care to define a "surface" of Jupiter, and 0 at the center, so there must be a net decrease over that distance. A) 29.4 m/s^2 B) 19.6 m/s^2 C) 7.35 m/s^2 d) 3.27 m/s^2. Although Uranus is much larger than Earth, its surface gravity is less than the surface gravity on Earth. is the mass of the field source (larger), and The formula is: where Calculate the acceleration due to gravity on Neptune. Structure What is the most common source of genetic variation? So now the acceleration here is 8.69 meters per second squared. Express your result. g = 6.67 10 11 6 10 24 ( 6.4 10 6) 2. 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. Calculate the force of gravity on a 1-kg mass at Earth's surface. We will . It is a vector oriented toward the field source, of magnitude measured in acceleration units. a) Find the free-fall acceleration on its surface. 4 1 0 2 2 ) Heres the gravity of Mercury, and heres the gravity of Jupiter. 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. The gravitational force is a fictitious force. 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. can be expressed as: Here The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Rather than undergoing an acceleration, objects in free fall travel along straight lines (geodesics) on the curved spacetime. g = 9.8 m/s 2 And when it comes to the planets of our solar system, which vary in size and mass, the strength of gravity on their surfaces varies considerably. 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. This site uses cookies to assist with navigation, analyse your use of our services, collect data for ads personalisation and provide content from third parties. \\ A. Jupiter is the largest and most massive planet in the solar system. &\approx \boxed{\mathbf{3.26\;\rm m/s^2}} Step 2: Calculate the acceleration due to gravity on the surface of that planet using the equation {eq}g = \dfrac {GM} {R^2} {/eq}. This does not take into account other effects, such as buoyancy or drag. For general inquiries, please use our contact form. How much would a 64.6 kg person weigh on this planet? {/eq}, The radius of Uranus, {eq}R=2.33\times 10^{7}\;\rm m Earth is also unique in phrases of monikers. A mass of 6 5 kg has a weight of 20N on a certain planet calculate the acceleration due to gravity on this planet? What are the Physical devices used to construct memories? 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. Calculate the force of gravity on a spacecraft 32000 km (5 earth radii) above the Earth's surface if its mass is 1800 kg. The numerical value for the acceleration of gravity is most accurately known as 9.8 m/s/s. In physics, gravitational acceleration is the acceleration of an object in free fall within a vacuum (and thus without experiencing drag). b How much would a 79.4 kg person weigh on this planet? acceleration of the ball upward was positive due to what threw it, Our experts can answer your tough homework and study questions. Uranus is an ice giant (instead of a gas giant). Comparative gravities of the Earth, Sun, Moon, and planets, This value excludes the adjustment for centrifugal force due to Earth's rotation and is therefore greater than the 9.80665m/s, Learn how and when to remove this template message, Gravitational potential General relativity, "New ultrahigh-resolution picture of Earth's gravity field", https://en.wikipedia.org/w/index.php?title=Gravitational_acceleration&oldid=1140599103, Short description is different from Wikidata, All Wikipedia articles written in American English, Articles needing additional references from December 2010, All articles needing additional references, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 20 February 2023, at 21:07. The surface gravity, g, of an astronomical object is the gravitational acceleration experienced at its surface at the equator, including the effects of rotation. This cookie is set by GDPR Cookie Consent plugin. 32 kg / m 3, 1219. 107 m. in m/s2. Like this: With a mean radius of about 2,440 km and a mass of 3.30 1023 kg, Mercury is approximately 0.383 times the size of Earth and only 0.055 as massive. A newly discovered planet has 3 times the mass and 4 times the radius of Earth. 84years googletag.cmd.push(function() { googletag.display('div-gpt-ad-1449240174198-2'); }); Basically, gravity is dependent on mass, where all things from stars, planets, and galaxies to light and sub-atomic particles are attracted to one another. The acceleration due to gravity on the surface of the moon can be found using the formula: g = r 2 G M g = 1 7 4 0 0 0 0 0 ( 6 . Venus has a mass of 4.86 x 10^{24} kg and a radius of 6.05 x 10^6 m. What is the acceleration due to gravity on Venus? How far has an object fallen after t seconds? Scientists have scoured the Earth looking for the oldest rocks to radiometrically date. , what is the mass percent of water in plaster of paris. where You can unsubscribe at any time and we'll never share your details to third parties. Equation: The more detailed models include (among other things) the bulging at the equator for the Earth, and irregular mass concentrations (due to meteor impacts) for the Moon. 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? Find the acceleration due to gravity near the surface of planet y. There is no gravitational acceleration, in that the proper acceleration and hence four-acceleration of objects in free fall are zero. How do you calculate acceleration due to gravity? In 2033, the planet will have made its third complete orbit around the Sun since being discovered in 1781. [/caption] Earth's gravity. Earth is expected to be 4.54 billion years old, plus or minus about 50 million years. The Acceleration Due to Gravity on Uranus g(Uranus) is 8.87 m/s2. Gravity is measured by the acceleration that it gives to freely falling objects. This site allows you to perform various gravity calculations based on Isaac Newton's law of universal gravitation. 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? What is the acceleration due to gravity at the surface? (a) What is the acceleration due to gravity on Mars? {/eq}. What is the gravitational acceleration at distance of one planet diameter above the surface of the planet? up. When discussing the acceleration of gravity, it was mentioned that the value of g is dependent upon location. This site is using cookies under cookie policy . (b) How much would a 5.89 kg person weigh on this planet? What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity on Earth? A candle is located at a distance of 5.0 cm from the mirror. If one were to stand on it, they would simply sink until they eventually arrived at its (theorized) solid core. The kilograms cancel out with these kilograms. 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? {eq}r 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. Gravity on Uranus. Mass of Earth = 5.98 x 10^{24} kg. In short, its mean radius is 582326 km (9.13 Earths), its mass is 5.68461026 kg (95.15 times as massive), and has a density of 0.687 g/cm3. a. Calculate the force of Earth's gravity on a spacecraft 12,800 km (2 Earth radii) above Earth's surface if its mass is 1350 kg. Here is how the Dimensionless Specific Speed calculation can be explained with given input . The acceleration due to gravity on Uranus is 10.72, while the acceleration due to gravity of Earth is 9.8 m/s2 (or 9.81, it depends on who you ask. All rights reserved. . If youd like more info on Uranus, check out Hubblesites News Releases about Uranus. And you can verify that the units work out. How do you calculate acceleration due to gravity? Calculate the acceleration of gravity at the surface of Venus. Learn what acceleration due to gravity is and understand how it is calculated. The value of the acceleration due to gravity is: {eq}\begin{align*} With a radius of 3,959 miles, Earth is the 5th largest planet in our sun machine, and it's the handiest one regarded as positive to have liquid water on its floor. Calculate the acceleration due to gravity on Uranus. r Question: Calculate the acceleration due to gravity on Uranus. Calculate the mass of Uranus. F (since gravity acts downwards on an object). This makes Uranus very light for its size. Venus has a slightly lower gravity than Earth with a pull of 8.87 m/s2. (b) On the surface of Mars? The distance between them is 77.8 x 10^10 m. Answer: N. If a space explorer with a mass of 89 kg has a weight of 380 N on a newly discovered planet, what is the acceleration due to gravity on this planet? 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}}\\ g 4 What is the principle of H * * * * * * * * * * of dimension? under the attraction of the gravitational source. For Uranus (mass =14.5 Earths, radius = 25400km) the acceleration due to gravity is 9.0ms2. (a) What would be the acceleration due to gravity at the surface of that new planet? Find the acceleration of gravity on the surface of this planet. Calculate the gravitational force between the Sun and Jupiter. 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 . What is the gravitational acceleration on the surface of the new planet? {\displaystyle \mathbf {\hat {r}} } Earth, Neptune, Uranus, Jupiter and Saturn which are 5447. Calculate the force of Earth's gravity on a spacecraft 3.00 Earth radii above the Earth's surface if its mass is 1350 kg. {/eq} m and its mass is {eq}8.68 \times 10^{25} is the frictionless, free-fall acceleration sustained by the sampling mass Now as the mentioned planet have mass 3 times that of earth, so (1) becomes : g'=G3Me . 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. Nearly everything in our lives happens near the Earth's surface, so that value gets used a lot, and is written as a little g:. This is the force generated by the pull of . Mass does not affect the speed of falling objects, As there is only gravity acting on them. . For Uranus (mass =14.5 Earths, radius = 25400km) the acceleration due to gravity is 9.0ms2. The radius of the Venus is 0.950 of the Earth's radius. The gravitational acceleration on a planet's surface is 16.00 m/s^2. Calculate the orbital period of Uranus (in yr) from the knowledge of G, the mass of the sun (M = 1.99 \times 10^{30} kg), and the orbital radius of Uranus of 1.92 \times 10^1A.U. Constant m is the mass of the planet and r is the radius of the planet. 59 kg / m 3, 2079. Now we are going to calculate the acceleration due to gravity on uranus, so we know that the acceleration due to gravity on any planet is given by small g equals to capital g multiplied by capital am divided by r square, where capital g is the universal gravitational.