Your weight is a measure of the amount of gravity exerted on your body by the planet Earth. If you travel to a different planet or celestial body, such as the moon, your weight changes if the gravity is different. Because the moon has about one-sixth of the gravity that Earth does, you'd weigh less standing on it. Show
Comparing Objects' GravityGravity is based on an object's mass and your distance from the center. When you're on the surface of a planet, you can use the planet's radius to calculate your distance from the center. If you compare the mass of the moon to the earth's, you will find that the moon's mass is 0.0123 of the earth. The moon's radius is 0.273 of the Earth's. To see what the moon's gravity is compared to the earth, divide the ratio of the masses by the ratio of the radii squared. x=\frac{\text{ratio of masses}}{\text{ratio of radii}^2}=\frac{0.0123}{0.273^2}=\frac{0.0123}{0.074529}=0.165 Calculating Your Weight on the MoonWrite down your weight in pounds or kilograms. For example, suppose that you weigh 135 pounds. Multiply your weight by the moon's gravity relative to earth's, which is 0.165. Solve the equation. In the example, you would obtain the product 22.28 lbs. So a person weighing 135 pounds on Earth would weigh just over 22 pounds on the moon. Remember, however that your mass has not changed. Related ArticlesSchool Projects of JupiterThrowing a Rock on the MoonHow Much Time Is One Day on Mars?School Projects of JupiterGravitational Factors of Our Eight PlanetsHow to Make a 3D Model of the Sun, Earth & MoonFacts About Neptune for a School ProjectWhat Are the Elements of Uranus?How to Compare Earth to NeptuneMovements of the Sun, Moon & EarthHow to Calculate a Planet's Revolution Around the SunThe Similarities and Differences Between the Sun and...Describe the Surface Terrain on JupiterWhen is the Moon's Pull on Earth the Strongest?Throwing a Rock on the MoonHow to Make a Model of Mars for 5th GradeHow to Hang a Planet Made Out of StyrofoamWhich Planet Moves the Slowest Along Its Orbital Path?What Are the Causes of Flickering Stars?What Tide Corresponds With a Solar Eclipse?References
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About the Author Amanda Rumble has been writing for online publications since 2000, primarily in the fields of computing and technology. She holds a bachelor's degree from the University of Buffalo in information technology. Rumble also focuses on writing articles involving popular video games and Internet culture. Before we get into the subject of gravity and how it acts, it's important to understand the difference between weight and mass. We often use the terms "mass" and "weight" interchangeably in our daily speech, but to an astronomer or a physicist they are completely different things. The mass of a body is a measure of how much matter it contains. An object with mass has a quality called inertia. If you shake an object like a stone in your hand, you would notice that it takes a push to get it moving, and another push to stop it again. If the stone is at rest, it wants to remain at rest. Once you've got it moving, it wants to stay moving. This quality or "sluggishness" of matter is its inertia. Mass is a measure of how much inertia an object displays. Weight is an entirely different thing. Every object in the universe with mass attracts every other object with mass. The amount of attraction depends on the size of the masses and how far apart they are. For everyday-sized objects, this gravitational pull is vanishingly small, but the pull between a very large object, like the Earth, and another object, like you, can be easily measured. How? All you have to do is stand on a scale! Scales measure the force of attraction between you and the Earth. This force of attraction between you and the Earth (or any other planet) is called your weight. If you are in a spaceship far between the stars and you put a scale underneath you, the scale would read zero. Your weight is zero. You are weightless. There is an anvil floating next to you. It's also weightless. Are you or the anvil mass-less? Absolutely not. If you grabbed the anvil and tried to shake it, you would have to push it to get it going and pull it to get it to stop. It still has inertia, and hence mass, yet it has no weight. See the difference? The Relationship Between Gravity and Mass and DistanceAs stated above, your weight is a measure of the pull of gravity between you and the body you are standing on. This force of gravity depends on a few things. First, it depends on your mass and the mass of the planet you are standing on. If you double your mass, gravity pulls on you twice as hard. If the planet you are standing on is twice as massive, gravity also pulls on you twice as hard. On the other hand, the farther you are from the center of the planet, the weaker the pull between the planet and your body. The force gets weaker quite rapidly. If you double your distance from the planet, the force is one-fourth. If you triple your separation, the force drops to one-ninth. Ten times the distance, one-hundredth the force. See the pattern? The force drops off with the square of the distance. If we put this into an equation it would look like this: The two "M's" on top are your mass and the planet's mass. The "r" below is the distance from the center of the planet. The masses are in the numerator because the force gets bigger if they get bigger. The distance is in the denominator because the force gets smaller when the distance gets bigger. Note that the force never becomes zero no matter how far you travel. Perhaps this was the inspiration for the poem by Francis Thompson: All things Isaac Newton This equation, first derived by Sir Isaac Newton, tells us a lot. For instance, you may suspect that because Jupiter is 318 times as massive as the Earth, you should weigh 318 times what you weigh at home. This would be true if Jupiter was the same size as the Earth. But, Jupiter is 11 times the radius of the Earth, so you are 11 times further from the center. This reduces the pull by a factor of 112 resulting in about 2.53 times the pull of Earth on you. Standing on a neutron star makes you unimaginably weighty. Not only is the star very massive to start with (about the same as the Sun), but it is also incredibly small (about the size of San Francisco), so you are very close to the center and r is a very small number. Small numbers in the denominator of a fraction lead to very large results! How do you calculate weight on the moon in Newtons?The moon has a smaller gravitational field strength. On the Moon, g = 1.6 N/kg. In other words, a 1 kg mass has a weight on the Moon of 1.6 N.
How much is 1 Newton on the moon?The gravity is about 1/6 of the Earth. So 10 Newton would be the wight on the Moon.
How do you calculate weight on the moon when given weight on Earth?Thus the weight on the moon is 1/6 the weight on the earth.
What will your weight be on the moon if your weight is 42kg on Earth?42 kg mass on Earth has a force due to gravity, weight, of approximately 411.6 Newtons. On the moon the force of gravity is about 1.6 m/s^2, so your force due to gravity on the moon is about 67 newtons. Your mass is still 42 kg.
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