tom.
I hate to nitpick.. but I think you mean mass instead of weight.
I know that Tony has been nailed for it. Just letting you know
ETA: BTW tom, it is an excellent explaination.
Hey TL,
rwguinn got it right.
Whenever anyone is talking about force, then weight is the appropriate term to use.
Do you get the difference between the two?
Note carefully the use of the word "acceleration". (Not velocity.)
Mass is an "inherent property" of matter. Matter can never get rid of its mass. An object in outer space has zero weight but the same mass that it would if it were sitting on the earth.
A gravitational force is applied to matter by the mass of the earth. If that force is unopposed (as in a free falling object), then the object will be accelerated towards the earth.
F = m a. There is only one "F" on the object (gravity). Therefore the "m" has to "a".
Near the surface of the earth, this value for "a" is equivalent to "g", if one falls without air resistance.
Weight is the force that one has to impart onto an object to PREVENT it from accelerating towards the center of the earth. Weight only appears when that downward acceleration is decreased.
If you bring the downward acceleration to zero, as in someone standing or sitting, then the full "weight" appears (as the term is commonly used).
Now watch the difference between acceleration & velocity.
If you were standing on a bathroom scale in an elevator, and it is descending at a very high constant rate of speed, do you weigh less?
The answer is "no". If the elevator is at a constant speed, then your acceleration is zero. It doesn't matter how fast you're going. If your speed is not changing, then your acceleration is zero.
(Little correction, if your speed and direction are not changing...)
Now, during those first gut disturbing seconds while the elevator is ACCELERATING to that speed, that's when you weigh less. And the scale will show it.
___
While standing on a scale, someone weighs W lbs.
If his downward acceleration is 0.0G's, he "weighs" 1.0*W.
If his downward acceleration is 0.2G's, he "weighs" only 0.8*W.
If his downward acceleration is 0.8G's, he "weighs" only 0.2*W.
If his downward acceleration is 1.0G's, he "weighs" only 0.0*W.
Note that in all cases, his velocity can be anything. Using the elevator, if the elevator is going up, stopped or going down at a constant speed, then the velocity will be positive positive, zero and negative respectively. But in all cases, the acceleration is zero. And a person on a scale will show his stationary weight, W.
In a similar fashion, a person's instantaneous velocity can be upwards, zero or downwards. His acceleration is the CHANGE in that velocity. So the acceleration can be positive (velocity increasing), zero (velocity remains the same) or negative (velocity decreasing).
TL, I get the feeling from your posts that you've got this idea pretty well. This is for anyone still struggling with the difference between weight & mass.
Too many words?
Tom