...to hold this type of discussion, you would be better served by a face-to-face conversation with a scientist or engineer. However, your being baffled by physical terms and units (What the hell does meters per second squared actually MEAN, anyway?) is perfectly legit and a severe puzzle for every new physics student. Let me try that.
Think of a typical mass, say a gallon jug of milk. That's approximately four kilograms (roughly eight pounds mass, but we'll stay with the metric system so our Canadian friends can follow). Take the milk jug to the top of a tall building and drop it.
The moment you release the jug, it is now in the grip of the earth's gravitational field, which imparts an accelleration of 9.8 meters per second per second (a falling body picks up speed as it falls), or 9.8 m/s^2. At the end of the first second the jug is moving at 9.8 m/s. At the end of the second second it's moving at 19.6 m/s and so on. It's velocity is increasing because it is accellerating. Velocity is in units of m/s and its velocity at any time during the fall is given by v=at where a is the acceleration of gravity (9.8 m/s^2) and t is the number of seconds. See how the s terms cancel out?
As the jug falls, its mass stays the same, but it's velocity is increasing so we describe the jug with a new quantity called the momentum. Momentum is defined as mass times velocity, so at the end of the third second, our jug will have a momentum of 4 kg x 9.8 m/s^2 x 3 s = 117.6 kg-m/s. Multiplying a mass by a length and dividing the result by a time seems incomprehensible, and the momentum unit has no name, so we just call it a kilogram-meter per second. Notice also how the seconds "cancel out" in the calculation.
Newton's law defines a force as a mass times an accelleration, and since we know the mass is 4kg and the accelleration of gravity is 9.8 m/s^2 we know the force of gravity on that jug is a constant 39.2 m/s^2, or 39.2 Newtons. Unlike velocity, accelleration and momentum, the unit of force has a name. A mass undergoing an accelleration is experiencing a force, which is another way of stating Newton's law, F = ma.
There is another useful property of falling bodies as well, called the Kinetic Energy, which according to calculus comes out to 1/2 the mass times the velocity squared. So at the end of the 3rd second, when our jug is moving at 29.4 m/s its energy due to motion is 1/2 m v^2 or 1728.72 kg-m^2/s^2. This unit has a name, we call it the Joule.
The jug will continue falling, gaining velocity, momentum and energy until it hits the ground. OTOH, the accelleration, mass and force of the jug remain constant.
I hope this clears up those funny units at the end of the numbers, and where they come from. They are very useful in calculations too, since they can be multiplied and divided and cancel out in fractions to help you keep track that your figures are meaningful.
Off Topic » in reply to Like car keys, you're always in the last place I look... =o]
This is not the place...
The whole thread (68 posts)
- E=M*(C^2) question?
- re: E=M*(C^2) question?
- re: E=M*(C^2) question?
- An example problem
- re: An example problem
- mass and matter
- Interesting... I think I get what I was trying to articulate now... ;o]
- Mass & Energy, Planet size, etc.
- You've lost me.
- Like car keys, you're always in the last place I look... =o]
- Of course they are...
- This is not the place...
- This is as good a place as any. ;o]
- re: This is as good a place as any. ;o]
- re: Good explanations and questions, thank you Michael.
- The answer is, you can't.
- Ohh, sure you can... You just have to be creative. =o] (I think I get it now, BTW; read on)
- Probably going to regret this.... for Johannes, Gmirkin, SDAI etc etc: Math, Science, Reality and Language
- mass is that which resists accelleration
- Thick as a brick
- Ohh, sure you can... You just have to be creative. =o] (I think I get it now, BTW; read on)
- The answer is, you can't.
- This is as good a place as any. ;o]
- Like car keys, you're always in the last place I look... =o]
- Interesting... I think I get what I was trying to articulate now... ;o]
- mass and matter
- Well done, but probably a waste of time....
- re: An example problem
- re: An example problem
- An example problem
