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Weight and mass are often used interchangeably, but they are actually two different concepts in physics. Mass refers to the amount of matter an object contains, while weight is the force exerted on an object due to gravity. In other words, weight depends on both mass and the acceleration due to gravity. Calculating weight based on mass is a fundamental skill in physics and can be useful in a variety of real-life situations. By understanding the formulas and principles behind this calculation, anyone can determine the weight of an object accurately. This article will provide a step-by-step guide on how to calculate weight based on mass, exploring different scenarios and giving examples to illustrate the process. Whether you are a student studying physics or simply curious about the science behind weight calculations, this article will help you grasp the fundamentals and apply them effectively.
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The weight of an object is the force of gravity acting on that object. The mass of an object is the amount of substance that the object has. Mass is a constant of the object and does not depend on gravity. That is why an object with a mass of 20 kg on earth would also have a mass of 20 kg on the moon. The same object’s weight on the moon is only one-sixth of the weight on the earth because gravity on earth is 6 times stronger than gravity on the moon. The next section of the article will give you more information as well as some ways to calculate weight based on volume.
Steps
Calculate the mass
- Since weight is a force, scientists also write this formula another way as F = mg .
- F = weight symbol, measured in Newtons, N .
- m = symbol for mass, in kilograms, kg .
- g = symbol for acceleration due to gravity, unit is m/s 2 , ie meters per second squared.
- When you use the unit ‘ meters , the acceleration due to gravity on the earth’s surface will be 9.8 m/s 2 . This is a value with international standard units and you should use this value.
- If you must use feet , the value of the acceleration due to gravity you need to use is 32.2 f/s 2 , essentially unchanged but only in feet instead of meters.
- The acceleration due to gravity on the moon is different from the acceleration due to gravity on the earth. The acceleration caused by gravity on the moon has a value of about 1.622 m/s 2 , which is about 1/6 of the corresponding value on earth. That’s why your weight on the moon is only 1/6 of the weight on earth.
- The gravitational acceleration on the sun is also different from the gravitational acceleration on the moon and earth. On the sun, the acceleration caused by gravity is about 274.0 m/s 2 , which is about 28 times the acceleration caused by gravity on earth. So you would be 28 times heavier if you could survive on the sun.
For example
- We already have the values of both m and g . Since we are looking for the weight of the object on the earth, so m is 100kg and g is 9.8 m/s 2 .
- Substituting the value into the formula we get: F = 100 kg x 9.8 m/s 2 .
- Do this calculation to get the final result. On the earth’s surface, an object with a mass of 100 kg would have a weight of about 980 Newtons. F = 980 N.
- We already have the values of m and g . In which, m is 40 kg, g is 1.6 m/s 2 because we are considering the object on the moon.
- Substituting these two values into the formula, we have: F = 40 kg x 1.6 m/s 2 .
- Do the multiplication to get the final result. On the moon, an object with a mass of 40 kg would weigh about 64 Newtons. F = 64 N.
- This example is an inverse problem, where we have the values of F and g in advance. We need to calculate m .
- Substituting the known values into the formula we have: 549 = m x 9.8 m/s 2 .
- Instead of multiplying, we’ll do division. More specifically, we divide F by g . An object weighing 549 Newtons on earth has a mass of about 56 kilograms. m = 56 kg.
Proofreading
- Mass has units of grams or kilograms. In English, both mass ( m ass ) and gram ( gram m ) have the letter m . Weight has units of Newton. In English, both weight ( w eight) and Newton (ne w ton) have the letter w .
- For those of you who study in English or use English fluently, you can remember this sentence: You only have weight while you’re ” wait “ing on Earth, but even ” mass “tronauts have mass.
- 1 pound force = ~4,448 newton
- 1 foot = ~0.3048 meters
- Example: On the ground, An has a weight of 880 newtons. What is the mass of An?
- Mass = (880 newtons)/(9.8 m/s 2 )
- Mass = 90 newtons/(m/s 2 )
- Mass = (90 kg*m/s 2 )/(m/s 2 )
- After eliminating units we have: mass = 90 kg
- Kg is the unit of mass, so we got it right.
Appendix: Weight in kgf
- Newton is the international system of measurement (SI-unit). However, in some documents and in some countries, weight is also expressed in kilogram-force (kgf). This is not a standard unit, and is therefore less commonly accepted. However, using kgf is very convenient for comparing weights elsewhere with weights on earth.
- 1 kgf = 9,80665 N.
- Divide the value in Newtons by 9,80665 or include the digit after the last comma when you know the value.
- The weight of a 101 kg astronaut is 101.3 kgf at the North Pole and 16.5 kgf when he is on the moon.
- What is the International System of Units (SI-units)? SI-unit is an abbreviation of Systeme International d’Unites (translated into Vietnamese as the International System of Measurements), which is a system of stipulating units of measurement in science.
Advice
- Figuring out the difference between mass and weight is the hardest part of this type of exercise, as we tend to use the two terms interchangeably. In everyday life, we often use kilograms when it comes to weight instead of Newton or kgf. Even if your doctor wants to talk about your weight, they really want to talk about your mass.
- The acceleration due to gravity g can also be written in units of N/kg. 1N/kg = 1 m/s 2 . So changing the unit of the acceleration due to gravity does not change its value.
- An astronaut with a mass of 100 kg would weigh 982.2 N at the North Pole and 162.0 N on the moon. If standing on a neutron star, this person would be even heavier, but he probably wouldn’t feel it.
- A scale is an instrument that measures mass (in kilograms), where your weight is calculated based on the compression or relaxation of a spring.
- The Newton unit is preferred over kgf because it makes it easier to calculate other values.
Warning
- The term ‘atomic weight’ has nothing to do with the weight (weight) of the atom, but with the mass (mass). This designation probably won’t change, since ‘atomic mass’ is already being used for a different quantity.
This article is co-authored by a team of editors and trained researchers who confirm the accuracy and completeness of the article.
The wikiHow Content Management team carefully monitors the work of editors to ensure that every article is up to a high standard of quality.
This article has been viewed 339,679 times.
The weight of an object is the force of gravity acting on that object. The mass of an object is the amount of substance that the object has. Mass is a constant of the object and does not depend on gravity. That is why an object with a mass of 20 kg on earth would also have a mass of 20 kg on the moon. The same object’s weight on the moon is only one-sixth of the weight on the earth because gravity on earth is 6 times stronger than gravity on the moon. The next section of the article will give you more information as well as some ways to calculate weight based on volume.
In conclusion, calculating weight based on mass is a fundamental concept in physics and plays a crucial role in various real-life applications. By utilizing the equation W = m x g, where W represents weight, m represents mass, and g represents the acceleration due to gravity, one can determine the force exerted by an object due to gravity. Understanding this calculation enables individuals to comprehend the relationship between mass and weight, and how it varies on different celestial bodies with varying gravitational forces. Additionally, it aids in practical situations such as determining the weight of objects, measuring forces, designing structures, and evaluating the impact of gravity on different environments. Overall, the ability to calculate weight based on mass forms the foundation for comprehending and analyzing the physical world around us.
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