If You Know the ? Of an Object

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The weight of an object is the force of gravity exerted on that object. The mass of an object is the corporeality of matter it has, and it stays the same wherever you are, regardless of gravity.^[1] That'southward why an object that has twenty kilograms of mass on earth also has xx kilograms of mass while on the moon, fifty-fifty though it would but counterbalance i/six equally much. It weighs one/six as much on the moon considering the force of gravity on the moon is i/six of what information technology is on Earth. Read on for information virtually and tips on calculating weight from mass.

Weight from Mass Calculation Help

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   Use the formula "west = thou 10 g" to convert weight into mass. Weight is defined as the force of gravity on an object. Scientists put that sentence into an equation past writing west = m x chiliad, or
   w = mg.^[2]

   • Since weight is a strength,^[3] scientists also write the equation as F = mg.
   • F = symbol for weight, measured in Newtons, Due north.
   • thousand = symbol for mass, measured in kilograms, or kg.
   • g = symbol for gravitational acceleration, expressed as m/south² , or meters per 2nd squared.
     • If you're using meters, the gravitational acceleration at the earth's surface is 9.8 m/s². This is the standard international unit, and the 1 yous should probably be using.
     • If y'all're using feet because you accept to, the gravitation acceleration is 32.ii f/s². This is the same unit, it'due south just rearranged to reflect anxiety instead of meters.

2. 

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   Effigy out the mass of an object. Because we're trying to get weight from mass, we know nosotros already have mass. Mass is the fundamental amount of matter an object has, and is expressed in kilograms.

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   Effigy out the gravitational acceleration. In other words, figure out k. On the surface of the earth, g is 9.8 chiliad/south^two. Elsewhere in the universe, the acceleration of gravity changes.^[four] Your teacher should tell you, or the trouble should indicate, where the gravity is interim from so that yous know.

   • The gravitational dispatch on the moon is unlike from the gravitational dispatch on the globe. Dispatch due to gravity on the moon is about 1.622 m/southward²,^[5] or about 1/6 of the acceleration that information technology is here on earth. That'southward why you counterbalance i/6 of your earth-weight on the moon.
   • The gravitational acceleration on the sun is unlike from the gravitational acceleration on the earth and moon. Acceleration due to gravity on the sun is almost 274.0 grand/s²,^[half-dozen] or near 28 times the acceleration that it is here on earth. That'southward why you would weigh 28 times your earth-weight on the sun (if you could survive!).

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   Plug the numbers into the equation. Now that you lot've got m and g, yous'll be able to plug those values into the equation F = mg and exist ready to go. Yous should become a number described in terms of Newtons, or North.

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   Solve sample question #1. Here's the question: "An object has a mass of 100 kilograms. What is its weight on the surface of the earth?"

   • We have both thou and g. k equals 100 kg, and 1000 equals 9.8 1000/southward², considering we're looking for the weight of the object on the surface of the globe.
   • We gear up our equation next: F = 100 kg x nine.viii m/south².
   • This gives united states the final answer. On the surface of the earth, an object with a mass of 100 kg will weigh approximately 980 Newtons. F = 980 N.

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   Solve sample question #two. Here's the question: "An object has a mass of forty kilograms. What is its weight on the surface of the moon?"

   • We have both k and g. 1000 equals 40 kg, and yard equals 1.half-dozen m/s^two, because nosotros're looking for the weight of the object on the surface of the moon this time.
   • We ready our equation side by side: F = twoscore kg x i.6 m/s².
   • This gives us the final respond. On the surface of the moon, an object with a mass of 40 kg volition weigh approximately 64 Newtons. F = 64 N.

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   Solve sample question #three. Here'due south the question: "An object weighs 549 Newtons on the surface of the earth. What is its mass?"

   • For this problem, nosotros have to work backwards. Nosotros already have F and nosotros have 1000. We just need m.
   • Let'south fix up our equation: 549 = m ten ix.viii thou/s².
   • Instead of multiplying, we divide. Specifically, we divide F past g. An object weighing 549 Newtons on the surface of the globe will have a mass of about 56 kilograms. m = 56 kg.

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1. 1

   Avert confusing mass and weight. The number one fault people brand on these problems is confusing mass and weight. Remember that mass is the amount of "stuff" in an object, which stays the same no matter where you motion it. Weight measures the force of gravity on that "stuff," which changes if you lot move through infinite. Hither'southward are a couple mnemonic to keep your units singled-out:

   • Mass is in units of grams or kilograms. Both thousandass and grachiliad contain an m. Weight is in units of newtons. Both w8 and newton incorporate a due west.
   • You only have weight while you're "expect"ing on Earth, simply even "mass"tronauts accept mass.

2. 2

   Apply scientific units. Virtually physics problems use newtons (N) for weight, meters per 2nd squared (m/southⁱⁱ) for gravitational forcefulness, and kilograms (kg) for mass. If yous apply a different unit for one of these values, you cannot use the same formula. Convert to scientific units earlier plugging them into the standard equation. These conversions may help you out if you lot're used to the imperial / U.Due south. system:

   • ane pound-forcefulness = ~4.448 newtons
   • 1 foot = ~0.3048 meters

3. 3

   Expand newtons to check your units. If you're working on a complex problem, keep track of the units as you piece of work through your solution. Recall that 1 newton is equivalent to ane (kg*k)/s². If necessary, make that exchange to assist y'all abolish out units.

   • Case trouble: Jeffrey weighs 880 newtons on Earth. What is his mass?
   • mass = (880 newtons)/(nine.8 m/s^two)
   • mass = ninety newtons/(thou/s²)
   • mass = (90 kg*1000/southward²)/(m/s²)
   • Cancel units: mass = 90 kg
   • Kg is the expected unit for mass, and then y'all arranged the problem correctly.

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Add New Question

• Question

  How do I get the gravitational force and multiply information technology by the mass?

  

  Gravitational strength is proportional the ii bodies' masses and the gravitational constant and is inversely proportional to the square of the distance betwixt them. F= (m1 (Earth)*m2 (observed trunk)*1000(constant))/r/r. G= half dozen.67408 × 10-11 m3 kg-i southward-ii. Notwithstanding, for the sake of weight we commonly take the gravitational accelration (g) which is equal to 9.81 m/s/s, usually rounded to 10 one thousand/s/south. G (gravitational force/weight) = g (gravitational accelration) * m (mass of the observed torso). If you lot use both methods, the two Gs should exist equal barring some rounding errors.

• Question

  Does a scale measure weight or mass?

  

  It measures weight, considering it measures the forcefulness gravity exerts on an object. But since nosotros know what the gravitational abiding is on Earth, we can convert that weight into mass (and many scales simply show the mass because they're calibrated to practise so).

• Question

  If the mass of an object is 25kg on globe, what will be its weight on the moon?

  

  The gravitational field force of the moon is 1.6N/kg. This ways that the weight of a 1kg mass object on the moon is 1.6N. Weight = mass x gravitational field strength Therefore, 25 kg multiplied by ane.vi N/kg, is 40 North.

• Question

  What if weight is expressed in kg? How do you convert it into mass in Newtons?

  

  The units of weight are in Newtons. If its in kilograms, its the mass of the object, not the weight.

• Question

  What is the mass of an object that has a weight of 80N on the moon?

  

  We already have the weight and the gravity on the moon is one.6m/s square so we will divide the F (weight) past g. Split 80 Due north past 1.6 k/southward square, and you will go the mass.

• Question

  Is my weighing machine showing mass or weight?

  

  Weighing machines bear witness the weight of the object. Mass refers to what it is equanimous of.

• Question

  What does 3kg/m mean?

  

  It means kilograms per cubic meter.

• Question

  How do I calculate weight from mass if I know the gravity?

  

  Multiply the mass (in kg) by the dispatch due to gravity (in one thousand/s/s). Your answer is in Newtons (Due north). For example, a 100-kg object on earth (acceleration due to gravity: 9.81 thou/south/southward) weighs 100 ten 9.81 = 981 North.

• Question

  How do I discover out my ideal weight?

  

  Weight is the force of gravity on an object. To notice your "ideal" weight you can utilize a spring scale or a spring residuum to find information technology. Remember that it is measured in Newtons (Northward). If what yous meant was mass, so use a normal scale. Mass is essentially the corporeality of "stuff' in an object. Information technology is measured in kg, g etc. The meanings of the words "mass" and "weight" accept been blurred over time.

• Question

  The mass of an object is vi kg on the surface of Earth. What will its mass be on the surface of the moon?

  

  6 kg. The mass remains the same, just the weight changes because in that location is a change in the gravitational acceleration.

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Annex: Weights Expressed in kgf

• A Newton is a SI-unit of measurement. Quite often the weight is expressed in kilogramforce or kgf. This is non a SI-unit, therefore less impeccable. But it is very convenient for comparing weights anywhere with weights on earth.
• ane kgf = 9.8166 N.
• Divide the calculated number of Newtons by 9.80665, or use the concluding column when bachelor.
• The weight of the 101 kg astronaut is 101.3 kgf on the N Pole, and 16.five kgf on the moon.
• What is an SI-unit? It stands for Systeme International d'Unites, a complete metric system of units of measurement for scientists.

• The most difficult part is understanding the deviation between weight and mass as people tend to use the words 'weight' and 'mass' interchangeably. They use kilograms for weight, when they should use Newton, or at least kilogramforce. Even your doctor may talk over your weight, when he meant to hash out your mass.

• The gravitational acceleration g can also be expressed in Northward/kg. ane N/kg = one yard/s² exactly. So the numbers remain the same.

• An astronaut with a mass of 100 kg will weigh 983.2 N on the Due north Pole, and 162.0 N on the moon. On a neutron star, he'll counterbalance even more, but he probably won't notice.

• Balances mensurate mass (in kg), while scales are based on compressing or expanding springs to measure your weight (in kgf).

• The reason why the Newton is preferred in a higher place the kgf that seems and so user-friendly is that a lot of other things are easier calculated when you know the number of Newtons.

Thanks for submitting a tip for review!

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• The expression 'atomic weight' doesn't have anything to do with the weight of the atom, it'due south a mass. This will probably not be inverse, considering 'atomic mass' is already in use for something slightly unlike.

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Article Summary X

To find weight when yous already know the mass, apply the formula weight = mass times gravitational acceleration. Remember that on the surface of the world, gravitational acceleration is ever ix.8 k/s^2, so simply plug in the mass and multiply it by ix.8 to get the weight in newtons. For sample bug and tips for checking your respond and catching mistakes, read on!

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