Force equation: use mass or weight?

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To calculate acceleration using the force equation F = m * a, it is essential to use mass rather than weight, as mass is an intrinsic property of matter measured in kilograms, while weight is a force measured in Newtons. The confusion arises because scales often measure weight but display it in kilograms, which can lead to misinterpretation. The correct approach involves calculating mass from weight using the equation m = W / g, where g is the acceleration due to gravity. Properly calibrated scales ensure that the reading reflects mass, not weight, despite the common usage of the term 'weight' in everyday language. Understanding the distinction between mass and weight is crucial for accurate scientific calculations.
  • #31
anorlunda said:
The English system does not recognize the pound mass
Yes, it does. The pound mass is the standard for commercial purposes.

Back when I went to school, my physics teachers and textbooks took great pains to say that the U.S. pound is always and exclusively a unit of force. Those teachers and textbooks were simply wrong. If you see packaged goods with a label such as "net weight 1 lb 2 oz", those are mass units and that net weight refers to a mass quantity.
 
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  • #32
escape_velocity said:
I require to calculate acceleration of an object caused by a force of 100N acting upon it.
The weight of the object is 0.5kg
I'm using the equation

F = m * a

Is it correct to use weight of the object instead of mass in the equation.
Will it yield correct results?

Or would I need to calculate "mass" of the object first using the equation

m = W / g
where W is weight of the object and g is acceleration due to gravity.
F is the weight.
m is the mass.
a is the acceleration due to gravity.

In light of this, it will be less confusing for you if, when discussing weights and gravity, you use:

W = m * g

Your confusion arises because we have distinct concepts using the same terminology. People use kg for weight in everyday usage, when N is the more correct term for weight. Saying that I weigh 87kg is incorrect. I consist of 87kg of matter.

I weigh 950N on the Earth because gravity accelerates my mass of 87kg at 9.81 m/s^2 against the Earth.

I weigh 160N on the Moon because gravity accelerates my mass of 87kg (which stays the same) at 1.62 m/s^2 against the Moon.
 
  • #33
anorlunda said:
When you weight meat at the store on a spring scale, it measures force.
Those scales are calibrated, by law, to read what a physicist defines as mass. They do call it weight, as that is also required by law.
 
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