Basic question about mass and weight

In summary, the weight on a spring-based scale is determined by how much force is required to move the spring, and the scale has been calibrated to show you what mass (in kg) ON EARTH would be required to provide that force.
  • #1
fluidistic
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I'm confused about mass, weight and kilogram force. Not that I don't know what the 2 firsts are but here I give the example that is perturbating me.
Say a home scale gives my "weight" as 67kg. I know that a weight is a force and therefore should have units of force, like the Newton (N) and not the kilogram which is a unit of mass.
So what is giving me the scale? Is it my mass? Is it my weight but with the wrong units? Or is it my weight in kilogram force (unit is kgf if I recall well)? I'm not even sure that a force can be given in kilogram force, but I guess yes...
 
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  • #2
It's your weight because it uses gravity to produce the number. And it's also the right units (67 kg = 670 N), at least if we allow particle physicists to use eV as a unit of mass!
 
  • #3
Just to add to atyy's answer...a weigh scale measures weight. If it operates using a spring, then what is being measured is the displacement of the spring, which is directly proportional to the force pressing down upon it. The scale has simply been *calibrated* to show you what mass (in kg) ON EARTH would be required to provide that force and therefore that displacement. In summary, the scale is displaying the mass of an object having the measured weight ON EARTH.
 
  • #4
For clarity, here's an example:

If you took your scale to Jupiter, where you weigh FAR more than you do on earth, the weigh scale would show you as having a much higher mass than your actual mass. That is because it would be displaying the mass an object would have to have in order to have such a large weight on earth. The labelling of the tick marks on the scale would be quite literally incorrect (for Jupiter), and this weigh scale would be useless as an instrument for determining mass by measuring weight.

MORAL: It's dangerous to infer mass from weight unless you know how strong the gravitational field you're in is.
 
  • #5
Ok, so it measures weight but shows mass.
MORAL: It's dangerous to infer mass from weight unless you know how strong the gravitational field you're in is.
And you also need to know how is calibrated the spring into the scale, more precisely you need to know the value of g that it has been assigned to use for the conversion weight-mass.
That mean that if one day I have to play with [tex]E=mc^2[/tex], m would be what shows the scale.
Thanks to both.
 

FAQ: Basic question about mass and weight

What is the difference between mass and weight?

Mass and weight are often used interchangeably, but they are actually two different concepts. Mass refers to the amount of matter in an object and is measured in kilograms (kg). Weight, on the other hand, is a measure of the force of gravity on an object and is measured in newtons (N).

How is mass measured?

Mass can be measured using a balance scale or a digital scale. These devices use the principle of equal-arm balance, where an object is placed on one side and standard weights are placed on the other side until the two sides are in balance. The mass of the object can then be read off the scale.

How is weight calculated?

Weight is calculated by multiplying an object's mass by the acceleration due to gravity (9.8 m/s² on Earth). This can be expressed as the formula W = mg, where W is weight, m is mass, and g is the acceleration due to gravity.

Why do objects have different weights on different planets?

The weight of an object depends on the strength of the gravitational pull on that planet. Since different planets have different masses and sizes, the force of gravity will vary. This means that an object will have a different weight on each planet.

Can mass and weight change?

Mass is a measure of the amount of matter in an object and does not change. However, weight can change depending on the strength of the gravitational pull. For example, an object will weigh less on the moon because the moon has less mass and therefore less gravitational pull compared to Earth.

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