Force equation: use mass or weight?

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Discussion Overview

The discussion revolves around the appropriate use of mass versus weight in the context of calculating acceleration using the force equation F = m * a. Participants explore the definitions and distinctions between mass and weight, particularly in practical measurement scenarios.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether it is correct to use weight instead of mass in the force equation, given that they measured the weight of the object as 0.5 kg.
  • Another participant clarifies that mass is an intrinsic property of matter, while weight is a force due to gravity, emphasizing the difference between the two concepts.
  • Some participants assert that the weight measured on a scale is often referred to as mass in everyday language, leading to confusion.
  • It is noted that scales measure deformation or resistance and convert this to mass, which can lead to misunderstanding about what is being measured.
  • Several participants discuss the implications of gravitational variations and the need for precise calibration of scales to ensure accurate mass measurements.
  • One participant mentions that in the metric system, a weight of 0.5 kg is actually a mass of 0.5 kg, and its weight in Newtons can be calculated using gravitational acceleration.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and practical implications of mass and weight, with no consensus reached on the best approach to using these terms in calculations.

Contextual Notes

Participants highlight that the accuracy of mass measurements can depend on local gravitational forces and the calibration of scales, which may not always be accounted for in practical scenarios.

  • #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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