Moon and Weight ```Name: libby Status: other Age: 11 Location: N/A Country: N/A Date: 4/16/2004 ``` Question: What would happen to your weight if you went on the moon? Why does this happen? Replies: Libby, Weight is what you get when you stand on a scale. Scales are weight measuring devices that use a spring or some kind of metal bar that stretches or bends when your weight is applied to it. The heavier you are, the greater the amount of stretch or bend. That flexing is transferred to the dial of the scale so you can read your weight. The moon is much smaller than the earth. As a result, the force of gravity on the moon is only about one sixth as strong as gravity on earth. Gravity is what holds us down on the earth's (or moon's) surface. If you were to weigh yourself on a scale here on earth and then could take that same scale to the moon and weigh yourself there, the weight read on the moon would be 1/6 your earth weight. So, If you weighed 100 pounds on earth, you would weigh only about 16 pounds on the moon. Regards, ProfHoff 840 You have a certain mass. Mass is how much stuff you are made of, and it is the same whether you are on Earth, on the moon, on Mercury, or anywhere else you can think of. You are held on Earth by gravity. Gravity pulling on your mass is your weight (you will learn in school about gravity as a force, if you have not already). The amount gravity pulls on you anywhere depends on your mass and the mass of the other object (and how far apart the objects are). The moon is smaller than Earth and has a smaller mass, so the moon won't pull on you as much if you are standing on it. The moon's gravity is about 1/6 that of Earth's gravity. If you weigh 60 pounds on Earth, fly to the moon with a scale and stand on it, you will weigh about 10 pounds. If you weigh 120 pounds on Earth, you will weigh about 20 pounds on the moon. If you want to figure out how much YOU would weigh on the moon, take YOUR weight and divide it by 6. Pat Rowe Libby - Weight is caused by the mass of two objects that are near each other. The bigger the objects, the more the force of gravity. (And gravity is what causes weight.) If you weigh 100 pounds on the earth, you would weigh more on a larger planet... like Jupiter where you would weigh about 236 pounds. On the moon, because the moon is much smaller than the earth (but remember, you are the same size) you would weigh about 17 pounds. Think what a great high jumper you could be! However, in order to survive on the moon you would need a survival suit that could weigh as much as 300 earth pounds... or about 50 pounds more on the moon. Even with that, you and your suit would only weigh about 67 pounds. That is lighter than you are as you sit reading this note. Have you seen movies of men walking on the moon? Do they appear to be lighter? They are. More than that, because the moon has less mass (and therefore less gravitational force) when something falls, it falls more slowly. Are you ready for the trip to the moon. I have been for a long time. More than that, it seems there is an interest in returning there. Let's go! Larry Krengel P. S. If you want to calculate your weight in other parts of the solar system, you can at this web site - www.exploratorium.edu/ronh/weight/index.html LK Hello Libby! Before we get into answering your question, there are 2 important definitions that need to be brought into the conversation. These include the definitions of weight and mass. All too often these terms are used interchangeably, which drives most scientists up a tree! Mass is the amount of matter (material) that makes up an object. The tricky definition of mass deals with inertia, which is probably a bit beyond where you are at in science class. Technically mass is a measure of how much inertia an object displays - but if that confuses you don't worry about it for now. :) The important thing to remember about mass is that it is constant, and therefore if you are on Earth, the Moon, Mars, or anywhere, your mass is always going to be the same. Weight is defined as the product of a body's mass and the gravitational acceleration in which the mass is located. (Weight = Mass x Gravity) What this means is that your weight depends on both your mass (which doesn't change) and the gravitation force of the place you are located. Therefore, a place with less gravity would cause an object to have less weight. So on the moon, where there is less gravity, you would weight less than you do on Earth where there is more gravity. (Have you ever seen a video of a Moon walk? The astronauts, when they step they look like they are bounce around? That's because there is so much less gravity on the Moon. It looks funny because we are use to seeing people walk on Earth where there is more gravity). Let's look at an example, but we'll use the metric measuring system because it is the best measuring system to use in science. Let's say we have a 1kg object (a kilogram (kg) is a measure of mass). The value of gravitational acceleration on Earth = 9.8m/s^2. On the moon, gravitation acceleration is 1.67 m/sec^2. So how much does that object weight on the Earth verses the Moon? Earth 1kg X 9.8m/s^2 = 9.8 Newtons Moon 1kg X 1.67m/s^2 = 1.67 Newtons Although the units used in this calculation may look confusing (in a few years you'll be a wiz at the metric system), you can nonetheless see that on the Moon a 1kg object weighs MUCH LESS than it does on the Earth! Now, isn't that much better than any diet you've ever heard of! Anyone feeling the need to lose weight simply needs to be sent to the moon ;) hehehe . . . I crack myself up. I hope that helps, and good luck! Susannah Sample Your weight would be 1/6th of what it is on the Earth. This is because the mass of the Moon is 1/6th that of the Earth. Howard Barnes. Hi Libby, Weight is actually the measure of gravity pulling on you. On Earth, the Earth pulls on you, and you pull on it. The amount of gravity is determined by the size of the two objects pulling on each other. The moon is about 1/6 as big as the Earth. So it pulls on you with about 1/6 the force. So if you could go to the moon, you would weigh about 1/6 of what you weigh on Earth. Weird isn't it?! Now lets say you get to travel to Jupiter. Jupiter is A LOT bigger than the Earth, so you weigh a lot more because Jupiter would be pulling on you with a greater force. One more weird thing to think about. You wouldn't get skinnier by going to the moon, or fatter by going to Jupiter. The amount of stuff that makes you up would still all be there. That's called you mass. Mass never changes. Weight changes depending on where you are in the universe. Your weight actually changes a teeny bit here on Earth if you are on the top of a very high mountain compared with your weight at sea level. I hope this explains a little. There might be some books in the library that would be helpful. Ask your friendly librarian. Good question. Happy Science! Martha Croll The unexplained answer is almost exactly 1/6. But how that happens is more important. Isaac Newton discovered the "universal" law of gravity. At the time, and even today, this law of gravity confuses some people because they confuse MASS and WEIGHT. The MASS of an object is the quantity of matter it possesses. You can ask, "How do we know what that is?" But the answer to that question is too complex to go into here. Just assume that every object contains a quantity of matter, and that quantity is called its mass. Give it the symbol 'M'. The WEIGHT of an object is the force exerted upon it by all other objects in the WHOLE UNIVERSE!! Give that mass the symbol 'm'. Fortunately, only a few and usually only 1 or 2 objects are close enough to have their effect important. In our case only the Earth, Moon, and Sun are important. If we never left the surface of the Earth, the distinction between MASS and WEIGHT could be used interchangeably, but they are different. If you have ever ridden on a roller coaster, and felt like you were being "squeezed" into your seat, or you were "floating" you experienced the difference in your WEIGHT even though your MASS remained the same. Isaac Newton discovered the formula that connects the WEIGHT, the MASS, and the DISTANCE separating two objects. The formula is: W = G * M * m / R^2. In his formula: W is the WEIGHT of the object, M is its MASS, m is the MASS of the other body, R is the distance that separates the two and G is a universal constant. G = 6.67259x10^-11 (m^3*kg^-1*sec^-2) but you don't need this to answer your question, as you will see. Standing on the Earth your WEIGHT depends upon your mass, M, the mass of the earth, m, that remains fixed, and R, how far you are from the center of the Earth. The reason people confuse WEIGHT and MASS is because, so long as you remain stationary everything in the formula W= G * M *m / R^2 stays the same so it doesn't make any difference if you use M or W in comparing two objects. Now back to your Moon question. The ratio of your weight on the Moon, Wmoon, compared to your weight on the Earth, Wearth is: Wmoon / Wearth = G * M * m(moon) / (Rmoon)^2 / G * M * m(earth) / (Rearth)^2. This simplifies by cancellation to: Wmoon / Wearth = m(moon) / (Rmoon)^2 / m(earth) / (Rearth)^2. Notice that the ratio of your weight doesn't even depend upon how much or how little your mass is. The quantities you need then, are: m(moon) = 7.35x10^22 kg, m(earth) = 5.9743x10^24 kg, Rmoon = 1.738x10^6 meters, Rearth = 6.378x10^6 meters. So, plugging these numbers in you find that: Wmoon / Wearth = 0.1668 and 1/6 = 0.1667 Hmmm! Is this a coincidence, or is there some underlying principle?? There are a couple of other interesting facts. The local force of gravity, that is the apparent weight of a known mass varies from place to place on the Earth (and other astronomical bodies too) depending upon whether you are on a mountain or in a valley and whether you are standing on dense rock or loose sand. There are instruments that can measure this difference. The most sensitive are pairs of satellites orbiting the Earth that compare their position as the pass over the same spot on the Earth at different times. Using these instruments, scientists are making detailed gravitational "maps" of the Earth. If you would like to know how much you would weigh on other planets, find the site: http://kids.msfc.nasa.gov/Puzzles/Weight.asp and plug in your weight. Vince Calder Libby, The gravitational attraction at the lunar surface is one-sixth of that experienced on Earth's surface ( a 100-pound person on Earth weighs only 17 pounds on the Moon). This difference allows an astronaut to lift a "heavy" life-support system with relative ease. If it were not necessary to carry such a load, an astronaut could jump six times higher on the Moon than on Earth. I hope that this helps answer you question. Sincerely, Bob Trach Click here to return to the General Topics Archives

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