Why is force = mass x acceleration.. No, literally why is it mass multiplied by acceleration always? How did Newton come to this equation and how am I to believe it? Why is it always mass multiplied by acceleration??? What is force??
You can look at F=ma as definition of force, because how else are you going to measure it? So then the real question becomes why forces are additive and why Newton's 3rd holds. Both of these are answered by conservation of momentum. If p=mv, and Ʃp is conserved, then 2nd and 3rd laws follow directly.Why is force = mass x acceleration.. No, literally why is it mass multiplied by acceleration always? How did Newton come to this equation and how am I to believe it? Why is it always mass multiplied by acceleration??? What is force??
The "causes of phenomena" is "how" not "why".Indeed the scientific quest does not systematically focus on the "why" questions, and does not worry if no absolute "why" can be found, however it did succeed quite well to find intermediate causes to phenomena
@NegativeDept: I'll see your link to a paper and raise you a link to the BadScience blog article discussing it.
Think of it this way! I am a Professional fighter. I am working in the ring with you and we are just sparing so I am not wanting to knock you out. My mass is 235 pounds. If I stick out my arm and just twist my body you get hit with 235 pounds. That is with no speed. So it is a easy punch to take. Now I am working in the ring with one of my opponents and my job as a Professional fighter is to win and one of the easiest ways and quickest ways it to knock the guy out. So to throw my right fist as fast as possible, I dig deep with my right foot pushing off the floor propelling my body forward, which increases the speed of my twisting 235 pound body, and I unleash my right hand as fast as possible creating a straight stiff arm until his chin connects with my knuckles. This means that the speed of my punch has greatly increased the power of my punch! Therefore, Force= Mass x acceleration..... The faster I throw my punches the harder your gonna feel every pound behind it!
As stated, the why part is a question left to philosophers (it's still fun to think about).
A way to think about force is using the equation you stated.
Force = Mass x Acceleration
Using some standard units, 1 unit of Force called a Newton is the amount it takes to accelerate an object having a mass of 1 kg exactly 1 m/s^2 (assuming no friction).
1 Newton = 1 kg x 1 m/s^2
If you push a 1 kg object hard enough on a frictionless floor such that its velocity increases 1 meter/second every second, you are putting a force of 1 Newton on that object.
No, the object will have moved 0.5 meters in one second ...The answer to 'why' F=ma is in what happens after the object (in a frictionless environment) reaches 1 m/s. So a Force of 1 Newton is placed upon an object and that object is 1 kg. This object begins to move in the direction of the force at a rate of 1 m/s per second. Thus in one second the object will have begun to move 1 m/s and will have moved 1 meter.
...and that hs also wrong.Thus the force required to move the object 1 meter during the time of one second is going to be 1 Newton.
It isn't just when it stops. The forces are equal and opposite all the time.I've said this before but never got an answer that satisifes me.
If we push a 1kg object at 1 m/s^2 on a frictionless surface we are using a force of 1 N. But assume that the 1kg object is pushed onto a boulder, so stops moving. The standard response is "when it stops, the force on the object is equaled to the force on the boulder pushing in the opposite direction" but i find this deeply unsatisfying. We are saying the some accelerating objects move but others do not, I just find the concept troubling. Maybe Einstein resolves this