1 g is the average gravitational acceleration on Earth, the average force, which affects a resting person at sea level. - acceleration definition, How to find acceleration? This can help you see the problem in a new light and find a solution more easily. Usually, we have two parts that are perpendicular to each other: the centripetal and the tangential. Equations in Excel always start with the "=" sign. If you're looking for detailed, step-by-step answers, you've come to the right place. Use the acceleration due to gravity calculator to determine the value of g at Earth and other planets. Lets take the case of an object with a mass of 123 kg placed within a radius of 50m from another object. Acceleration due to Gravity: Value of g, Escape Velocity. The acceleration due to gravity is different based on the mass of the star, planet, moon or asteroid and the distance from its center of mass and its surface. Finally, in the output field, the gravitational acceleration will be displayed. Question 1: The radius of the moon is 1.6210^6m. Utilize this handy Acceleration due to Gravity Calculator to get the acceleration due to gravity value for the given numbers in a short span of time. g = 6.67 10 11 7.35 10 22 ( 1.74 10 6) 2. The formula below can be used to calculate the acceleration due to gravity on the moon's surface: g = GM / r^2 g = 6.67310 -11 8.6210 22 / (1.910^6) 2 g = 1.59 ms 2 For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool. The mass of the moon is taken as 8.2510^22 kg. Expert tutors are available to help with any subject. Step 1: Identify the mass and radius of the planet. You can get math help online by visiting websites like Khan Academy or Mathway. Plus, find your latitude, longitude, and elevation. To clarify math equations, simply break them down into smaller, more manageable pieces. The Acceleration Due to Gravity calculator computes the acceleration due to gravity (g) based on the mass of the body (m), the radius of the. It can be given as: \ (g = \frac { {GM}} { { { { (R)}^2}}}\) For an object falling solely under the Earth's gravitational force, the object's acceleration does not depend on the mass of an object. The site owner may have set restrictions that prevent you from accessing the site. 0 g is the value at zero gravity. Artificial gravity, as it is usually conceived, is the inertial reaction to the centripetal acceleration that acts on a body in circular motion. The magnitude is how quickly the object is accelerating, while the direction is if the acceleration is in the direction that the object is moving, or against it. The acceleration of a point body caused by the gravity of a point or spherically symmetrical (e.g. Math Index SOLVE NOW . The Acceleration Due to Gravity calculator computes the acceleration due to gravity (g) based on the mass of the body (m), the radius of the. Check out our website for a wide variety of solutions to fit your needs. In his second law, if you can switch acceleration with angular acceleration, force with torque, and mass with moment of inertia, you'll end up with the angular acceleration equation. Gravitation is the force that acts between two bodies. m/s) / kg = m/s. This is really great for helping you in math, i scanned some intermediate integration problems and magic it shows every step wise step detailed solution. The mass of the Moon is 8.62 x 1022 kg, its radius is 1.9 x 106 m, and the universal constant is 6.67 x 1010-11 Nm2/kg2. As a member, you'll also get unlimited access to over 88,000 It may sound weird at first, but according to the third Newton's law of motion, you act with the same force on the Earth as the Earth acts on you. We provide top-quality homework help to students of all levels. Relativity is required only when there is a need for extreme precision, or when dealing with very strong gravitational fields, such as those found near extremely massive and dense objects, or at very close distances (such as Mercury's orbit around the sun). Refer to the next section for a thorough explanation on how to resolve the problem. It is known as acceleration due to gravity. You probably know about the Large Hadron Collider (CERN), the most powerful particle accelerator in the world. At the equator the value of R changes to 6,378 km and when we place this value in our equation we get the value of 'a' approx. Acceleration of gravity calculation on the surface of a planet. Step 2 . The formula used is the following: ga = G *m/r2 Where ga - gravitational acceleration in m/s 2 G- Universal Gravitational Constant = 6.6726 10 -11 N.m 2 /Kg 2 m - mass in kg r - radius in m Example calculation Let's take the case of an object with a mass of 123 kg placed within a radius of 50m from another object. By following the above-mentioned recommendations, you will be able to arrive at a simple answer. Step 2: Now click the button "Calculate the Unknown" to get the acceleration due to gravity. Acceleration due to. _The acceleration due to gravity on Pluto is 0.60 meters per second per second. One way to ensure that math tasks are clear is to have students work in pairs or small groups to complete the task. Acceleration due to Gravity Calculator However, at large distances from the Earth, or around other planets or moons, the acceleration is different. Try refreshing the page, or contact customer support. Velocity is the speed with which an object is moving in a particular direction, while acceleration is how the speed of that object changes with time. However, this can be automatically converted to compatible units via the pull-down menu. It has a magnitude as well as direction. 11939, 11941, 17544, 11942, 11947, 17546, 17550, 11945, 17548, 17551, 17552 . FAQ What is Pressure given Density and Height? The formula for calculating Gravitational Acceleration is GM/r2, Put in the values in the formula and do the calculations, The following is the procedure how to utilize the acceleration due to gravity calculator, Examples on Finding Acceleration Due to Gravity. The formula used is the following: ga = G *m/r2, G Universal Gravitational Constant = 6.6726 10-11N.m2/Kg2. This gravitational acceleration calculator determines any three of the components of the gravitational acceleration equation in various units. Question 2: What is the gravitational acceleration on the Moon's surface? I don't have their premium, I just work backwards from the answer and usually that's enough for me. There is nothing more satisfying than finally getting that passing grade. Acceleration Due to Gravity in the Solar System: M is the mass of the object (e.g. The following two problems demonstrate how to calculate the acceleration due to gravity on a different planet. Its value is about 32.2\(ft*sec^{-2}\). The weight of an object on Earth equals the gravitational force exerted by the Earth on that object. Two objects that have equal but opposite acceleration will be accelerating by the same amount, just in two opposite directions. Depending on what data you have, you may calculate acceleration in three different ways. This is a general physical law derived from empirical observations by what Isaac Newton called induction. Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills. There is also a third option that is, in fact, widely used. We rounded the above expressions to two significant figures with the significant figures rules that you can find in our math category. Coulomb's law has the product of two charges in place of the product of the masses, and the electrostatic constant in place of the gravitational constant. The value for acceleration due to gravity changes with change in both altitude and latitude. Check out our angular acceleration calculator for more information. It is so small that our calculator considers it to be zero. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Calculate the Acceleration Due to Gravity on a Different Planet, {eq}M = 6.4 \times 10^{23}\ \rm{kg} standard earth gravity or g 0 = 9.80665 ms -2) Weight Work on the task that is enjoyable to you, Cbse class 9 maths herons formula extra questions, Distance between two coordinates calculator excel, Marginal propensity to consume calculator. Gravity's acceleration (g): The acceleration imparted to a body in a vacuum by gravity, defined as the geometric sum of the planet's gravitational pull (or that of another celestial body) plus inertial forces due to spin. Acceleration due to Gravity Calculator. This allows for immediate feedback and clarification if needed. It's possible to calculate the acceleration above the surface by setting the sea level. Amazing, solved all my maths problems with just the click of a button. The formula for acceleration due to gravity is: g = (GM)/R. This is because F/m = a, so as the mass increases the fraction becomes smaller and smaller. At a distance (d) below the earth's surface, the acceleration due to gravity is given by; g d = 4/3 (R - d) G. On dividing the above equations we get, g d = g (R - d)/R. Here is how the Pressure given Density and Height calculation can be explained with given input values -> 117247.2 = 997*9.8*12. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. 4. On earth, gravity forces are different for all objects, but acceleration values are always about 9.8 m/s/s. N is the normal force exerted on the object by the surface of the incline and mg is the gravity force exerted on the object by the Earth, the weight of the object. Pretty neat app, however, I noticed that in your last update the camera changed and I can no longer solve problems using it, since the new mode doesn't focus correctly and does not read the equations correctly. Acceleration of gravity calculation on the surface of a planet. = 9.78 ms1 . You might notice that some physical laws, like this one, are universal, which makes them really important in physics. Otherwise its just r^2 The Formula is g . Look no further than our new solutions service. Inputs: Added Feb 6, 2014 by Brian Adams in Physics. Solving Problems Involving Systems of Equations, Hanukkah Lesson for Kids: Facts & History, Christmas in Sweden Facts: Lesson for Kids, Nuclear Fusion Definition: Lesson for Kids, What Is SIDS? The acceleration due to gravity is the acceleration created in a body as it falls freely under gravity due to the Earth's gravitational acceleration. This is a useful tool to use when in need to calculate gravitational acceleration or the mass or radius in the equation when dealing with two objects situated at a certain distance. acceleration calculator, Acceleration formula three acceleration equations. We mentioned acceleration due to gravity a few times earlier. To determine what the math problem is, you will need to look at the given information and figure out what is being asked. Determine the acceleration due to gravity on the dwarf planet Pluto which has a mass of {eq}1.3 \times 10^{22}\ \rm{kg} {/eq}. If you want to study and understand the concept in detail, then it's time to tap the gravitational acceleration calculator. Our expert tutors can help you with any subject, any time. Substitution Techniques for Difficult Integrals, International Marketing Mix and the 4 Ps of Marketing. Difference between velocities at two distinct points in time. Doing homework can help you learn and understand the material covered in class. Adding subtracting mixed numbers calculator 3 fractions, Application of taylor series in engineering, Find the missing value to the nearest hundredth cos 6/19, How to calculate standard deviation in python, What is the formula for finding quadratic equation. 1 g =. To calculate the acceleration due to gravity, follow the steps below. Both are inverse-square laws, in which force is inversely proportional to the square of the distance between the bodies. Newton's law of gravitation resembles Coulomb's law of electrical forces, which is used to calculate the magnitude of electrical force between two charged bodies. For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool. Centripetal acceleration and tangential acceleration. Use our time-saving Acceleration Due to Gravity Calculator to quickly calculate the acceleration due to gravity value for the given numbers. The procedure to use the acceleration due to gravity calculator is as follows: Step 1: Enter the mass, radius and "x" for the unknown value in the respective input field. The universal gravitational constant is 6.67410^-11 m^3kg^-1.s^-2. Solving for planet mass. (When Newton's book was presented in 1686 to the Royal Society, Robert Hooke made a claim that Newton had obtained the inverse square law from him) In modern language, the law states the following: Assuming SI units, F is measured in newtons (N), m1 and m2 in kilograms (kg), r in meters (m), and the constant G is approximately equal to 6.6741011 N m2 kg2. Our expert team is here to help you with all your questions. It changes the value of velocity only, and not its direction. The mass and radius of Mars have been given in the problem: We will calculate the acceleration due to gravity using the equation: $$g_{Mars} = \dfrac{GM}{R^2} = \dfrac{(6.67\times 10^{-11}\ \rm{N\cdot m^2/kg^2})(6.4 \times 10^{23}\ \rm{kg})}{(3.4 \times 10^{6}\ \rm{m})^2} \approx 3.7\ \rm{m/s^2} Yes, acceleration can be negative, which is known as deceleration. planet) After talking about huge objects in space, let's move to the microscopic world of particles. No tracking or performance measurement cookies were served with this page. The Acceleration Due to Gravity calculator computes the acceleration due to gravity (g) based on the mass of the body (m), the radius of the Confidentiality Confidentiality is important in order to maintain trust between individuals and organizations. Solve My Task. G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth. {/eq}. The value of the gravitational acceleration on the surface can be approximated by imagining the planet as point mass M and calculating the gravitational acceleration at a distance of its radius R: where: G gravitational constant ( m^3, s^-2, kg^-1). The distances include Astronomical Units (ua), Light Seconds, Minutes, Hours, Days and Years, Parsecs, Kilo-Parsecs and Kilo-Light Years. Get access to thousands of practice questions and explanations! This GPE calculator will find the missing variable in the physics equation for gravitational potential energy, when three of the variables are known. Math can be difficult, but with a little practice, it can be easy! FAQs on Acceleration Due to Gravity Calculator 1. The planet has a mass of {eq}6.4 \times 10^{23}\ \rm{kg} About; Products . g = GM/r2 is the equation 585+ Experts 9/10 Ratings 67460 Clients . 1 g =. What is acceleration due to gravity independent of? We can provide expert homework writing help on any subject. Although we can't see them with our eyes, we have harnessed high-energy particles, like electrons and protons, and use them regularly in particle accelerators; common in physics, chemistry, and medicine. I enjoy that it gives you multiple ways to get the answers and that there's multiple answers. In an experiment, the acceleration due to gravity at the surface of the Earth is measured to be 9.90 m/s. Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, MTTC Emotional Impairment (059): Practice & Study Guide. Find the derivative of f(x) = 3x + 8 at x = 4. Calculate your Local Gravity In this section, we are going to dive deeper into each of these steps, so you can calculate your local gravity. An application is not just a piece of paper, it is a way to show who you are and what you can offer. It's analogous to all the bacteria (~10 times lighter than a human) living on your hand; you can't even notice them! It can be difficult to get the help you need when it comes to mathematics, but thankfully there are online resources available to support you. Local Gravity: How to Calculate Yours in 3 Minutes. It took place 111 years after the publication of Newton's Principia and 71 years after Newton's death, so none of Newton's calculations could use the value of G; instead he could only calculate a force relative to another force. 1g is known as the normal gravity. Best and only calculator you will ever need! When both components are present, the object's trajectory looks like the right picture. If you want to get things done, you need to set some deadlines. Considering this simple graph layout: My initial idea is: Take the sqrt of (x^2 + z^2) to calculate the resulting value in the zx plane. planet), R is the distance to the center of mass of the object. We will again calculate the acceleration due to gravity using the equation: $$g_{Pluto} = \dfrac{GM}{R^2} = \dfrac{(6.67\times 10^{-11}\ \rm{N\cdot m^2/kg^2})(1.3 \times 10^{22}\ \rm{kg})}{(1.2 \times 10^{6}\ \rm{m})^2} \approx 0.60 \ \rm{m/s^2} From the given question, calculate the planet's mass, radius from the planet's centre, and gravitational acceleration. We use them to kill cancer cells while sparing the surrounding healthy tissue or investigate a material's structure at the atomic scale. 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 g Use our online acceleration due to gravity calculator by entering the input values and click calculate button to get the result below. 1. 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. 1. Subtract the initial angular velocity from the final angular velocity to get the change in angular velocity. The famous force due to gravity formula is an extension of Newton's second law, which states that a mass subjected to an outside force will experience acceleration: F = ma. All rights reserved. You will also get instant results by using our . It only takes a few minutes. Step 2: Calculate the gravitational, normal, net, and frictional force on the object. I would suggest every math student to download this app for finding out proper procedures for their problems. Subtract the initial time from the final time to get the change in time. Learn how to calculate local gravity with a calculator and correct measurement results. Recently, cancer is one of the diseases of affluence that probably result from the increasing wealth in society. This acceleration due to Earth's gravitation is called acceleration due to gravity and is represented by '\ (g\)'. Acceleration Due to Gravity Calculator: Are you looking for assistance in calculating the acceleration due to gravity? The gravitational acceleration is the change in velocity that causes the object to accelerate. It is basically the acceleration that is caused in an object due to only gravitational pull near the surface of the earth. Figure 1 gives the free-body force diagram for an object sliding down a frictionless incline that is at an angle, , above the horizontal. Acceleration due to gravityis typically experienced on large bodies such as stars, planets, moons and asteroids but can occur minutely with smaller masses. The earth's gravitational acceleration is a standardized value indicated by (g). Steps for Calculating an Acceleration Due to Gravity Using the Pendulum Equation. The acceleration of gravity equals the force of gravity acting on a unit mass object, according to Newton's second law. The acceleration due to gravity on Mars is 3.7 meters per second per second. It is characterized by the letter g. g has an average value of 9.8 m/s^2. To improve your math performance, practice regularly and persistently. By doing this, you can better understand what each part of the equation is doing and how it all fits together. The mass and radius of Mars have been given in the problem: M = 6.41023 kg M = 6.4 10 23 k g R= 3.4106 m R = 3.4 10 6 m Step 2: Calculate. Use the normal force to calculate the force due to kinetic friction: The net force on the suitcase along the ramp is. Displacement with respect to time. g = GM/r2 is the equation used to calculate acceleration due to gravity. Find Latitude and Longitude Since local gravity is affected by latitude, you will need to find know your location's geographic coordinates. near the surface of the Earth the acceleration due to gravity is 9.8 m/s 2; so a 1 kg mass experiences a gravitational pull of 9.8 Newtons of force . Our expert team is here to help you with all your questions. If you're looking for the best homework solution, look no further than our website. It only takes a few minutes to setup and you can cancel any time. 1. Thus it is a vector quantity. Briefly, we can do it using magnetic or electric fields. Kirsten has taught high school biology, chemistry, physics, and genetics/biotechnology for three years. It is used in everyday life, from counting and measuring to more complex problems. Makes math doable and understandable, so helpful when teachers give you loads of ixl assignments. What Is Acceleration? Acceleration Due to Gravity Calculator is a free online tool that displays the gravitational acceleration for the given mass and radius. Divide the change in angular velocity by the change in time to get the angular acceleration in radians/s. Note: r must be greater than the radius of the planet. P E g = m g h Where: PE g or PE = gravitational potential energy m = mass of an object g = acceleration due to gravity h = height of the object What Is Gravitational Potential Energy (GPE) The issue was resolved in 1915 by Albert Einstein's new theory of general relativity, which accounted for the small discrepancy in Mercury's orbit. The radius of the moon is 1.7410 6 m. Substituting the values in the formula we get-. Gravity, on the other hand, is the force that exists between an object and the very large object known as the earth. Step 1: Identify the mass and radius of the planet. In this case the formula will be: ga = 6.6726 10-11*123/ 502. Step 2: Calculate the acceleration due to gravity on the surface of that planet using the equation {eq}g = \dfrac{GM}{R^2} Track Way is a great place to go for a run. {/eq}, {eq}M = 1.3 \times 10^{22}\ \rm{kg} Acceleration due to g = GM/r2 is the equation used to calculate acceleration due to gravity. Acceleration due to gravityis the instantaneous change in downward velocity (acceleration) caused by the force of gravitytoward the center of mass. D = R, then: gd = 0 Step 3: Finally, the gravitational acceleration will be displayed in the . {/eq}. Acceleration of gravity calculation on the surface of a planet. h altitude above sea level. where. Step 1: Identify the angle of the inclined plane, the mass of the object, and coefficient of friction. Steps for Calculating Acceleration Due to Gravity Step 1: Determine the mass of the object as well as its weight in the place where the acceleration of gravity must be determined. G is the universal gravitational constant. Utilize this handy Acceleration due to Gravity Calculator to get the acceleration due to gravity value for the given numbers in a short span of time. {/eq} and a radius of {eq}1.2 \times 10^{6}\ \rm{m} spherical) body of another body is given by the formula: a= G M r2 a = G M r 2. where: a a - gravitational acceleration of a body attracted by another body, G =6,67384(80)1011 m3 kg s2 G = 6, 67384 ( 80) 10 11 m 3 kg s 2 - constant . It arises from the gravitational force that exists between every two objects that have mass (note that the gravity equation isn't dependent on an object's volume only mass is essential here). Log in here for access. Take this value, square it and add y^2, take the square root of that. Copyright 2014 - 2023 The Calculator .CO |All Rights Reserved|Terms and Conditions of Use. The gravitational acceleration is the acceleration gained by an object as a result of the gravitational attraction between two objects. The fruit falls off the tree after it has been ripped. If you're struggling with a problem and need some help, our expert tutors will be available to give you an answer in real-time. Websites like "Brainley" simply provide an answer unless you want the full package to unlock. Get unlimited access to over 88,000 lessons. Step 2:. Divide the net force along the ramp by m to get the acceleration: Plug in the numbers: Yes, the box will slide. h) Symbols h = Fluid depth = Density of fluid g = Acceleration due to gravity P surface = Pressure above the fluid surface P fluid = Hydrostatic pressure contribution form the head of fluid However, vCalc enables the user enter units in any of the applicable mass units (see pull-down list). The calculator only calculates the gravitational acceleration. Step 1: Determine the period of the pendulum in seconds and the length of the pendulum in meters. But I will like it more if they add a matrix, permutation, combination and LCM function to it, it really helped me to do better in maths, harder math problems are not solvable yet, the app can even solve linear equations! Gravitational Acceleration Calculator Gravitational Acceleration Calculator when object is subjected to acceleration due to force of gravity it is known as gravitational acceleration. This is amazing, it helped me so often already! Five Stars! Ex: 23, 456, 2e4 , 2e-11, 1.23, 3.076e-11. The time from 0 - 100 km/h for an acceleration equal to gravity can be calculated by modifying the equation above to (9.81 m/s2) = ( (100 km/h) - (0 km/h)) (1000 m/km) / (3600 s/h)) / dt or This makes the learning process so much easier, especially because it breaks everything down step by step. About the Calculator. I can help you with deciding which mathematical tasks to complete. He currently holds a science teaching license for grades 8-12. In a circular motion (the leftmost picture below), where an object moves around the circumference of a circle, there is only the centripetal component. It is a part of classical mechanics and was formulated in Newton's work Philosophi Naturalis Principia Mathematica ("the Principia"), first published on 5 July 1687. However, don't confuse it with the previously mentioned centripetal or tangential accelerations. In other words, it tells you how fast an object's rotations accelerate the object spins faster and faster (or slower and slower if angular acceleration is less than zero). To solve a word question, you need to first understand what is being asked, and then identify the key words and phrases that will help you solve the problem. Love it maybe if they could make the box that scans to get smaller, it would be perfect. g = GM/r2 is the equation used to calculate acceleration due to gravity. The mass units include Earth Mass, Jupiter Mass and Solar Mass. 1. A free-falling object is an object that is falling solely under the influence of gravity. I like using This app because it can help to solve any equation I may have. lessons in math, English, science, history, and more. Newton's law has since been superseded by Einstein's theory of general relativity, but it continues to be used as an excellent approximation of the effects of gravity. The expression for the acceleration of gravity is: (G * M) / (d2), where G is the gravitational constant 6.673 x 10-11, M is the mass of the earth 5.98 x 1024 (in kg) and d is the distance in meters from the earth's center (stored in variable distCenter). The acceleration due to gravity depends on the 688 Math Tutors 89% Recurring customers 86437 Delivered assignments Get Homework Help Gravity equation calculator solving for planet mass given universal gravitational constant, . The height of the thing falls as the mass of the object grows. When a tissue paper and a steel bottle are dropped at the same moment, the bottle falls quicker than the tissue paper due to the direct proportionality of the mass of the bottle, which is more than that of the tissue paper. What is the difference between gravity and gravitation? Acceleration due to gravity is the acceleration that is gained by an object due to the gravitational force. It's possible to calculate the acceleration above the surface by setting the sea level. "The rate of changing velocity with respect to time is called acceleration" How to Calculate Acceleration? Acceleration Due to Gravity: When a very large object, such as a planet, exerts a gravitational force on an object that is much smaller than the planet, the planet's gravity will cause the object to fall downward at a certain rate. Requested URL: byjus.com/acceleration-due-to-gravity-calculator/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. (See Derivation of Velocity-Time Gravity Equations for details of the derivation.) Also check out the link above to calculate acceleration due to gravity at different latitudes. v is the vertical velocity of the object in meters/second (m/s) or feet/second (ft/s) g is the acceleration due to gravity (9.8 m/s 2 or 32 ft/s 2) You can always count on our team for reliable support. Centripetal acceleration changes the direction of the velocity, and therefore the shape of the track, but doesn't affect the value of the velocity. G is known as the universal constant because its value remains constant throughout the world and is unaffected by object masses. One tool that can be used is Local acceleration due to gravity calculator. The acceleration due to gravity also follows the unit of acceleration. We can calculate acceleration due to gravity with the expression g = GM/r2. To calculate the acceleration due to gravity on the Moon, input in our acceleration due to gravity calculator the following values: M_ {} = 7.348 \times 10^ {22}\ \text {kg} M = 7.3481022 kg The Moon's mass; and 1737.4\ \text {km} 1737.4 km The Moon's radius.