The discussion revolves around the relationship between acceleration, mass, and net force, primarily focusing on the equation \( a = \frac{F}{m} \). Participants explore its implications, interpretations, and the nature of the relationship it describes, touching on theoretical and conceptual aspects.
Participants express multiple competing views regarding the interpretation of the relationship between acceleration, mass, and force. There is no consensus on the implications of the equation or the nature of the relationship it describes.
Some participants highlight that the discussion involves assumptions about the context of motion (e.g., free fall vs. rolling) and the definitions of terms like force and acceleration, which may affect interpretations.
It does not "prove" anything.avito009 said:As we know [tex]\ a= \frac {F} {m}[/tex]
So does this equation prove that acceleration is directly proportional to the net force and inversely proportional to the mass of the object?
No.DaleSpam said:Yes.
Raptor said:No.
F=ma says heavy objects need more force to move, and more force means more acceleration.
a=F/m is just a vector relation saying that acceleration is co linear with net vector F. Decrease In mass decreases the force acting on it which in turn reduces magnitude of acceleration. This is more meaningful.
Let's say you are rolling down from a mountain. Let's also assume you ate a lot of food on your way down. This increases net acceleration. But how?MohammedRady97 said:I fail to see the difference. One could also argue that the first equation is a vector relation.
Raptor said:Let's say you are falling down from a mountain. Let's also assume you ate a lot of food on your way down. This increases acceleration. But how?
The answer is FORCE. We explain this with force.
Raptor said:Let's say you are falling down from a mountain. Let's also assume you ate a lot of food on your way down. This increases acceleration. But how?
The answer is FORCE. We explain this with force.
Dale was not wrong at all. I just wanted to give a more meaningful statement.MohammedRady97 said:I still can't understand why you disagreed with DaleSpam. Could you please elaborate on your original statement?
Who said you are in free fall?? Mountains are triangular. You can roll on it instead of just falling.i was just giving a hypothetical example.now mg's sine component is greater for heavier object. So acceleration in the frame of reference of mountain surface is more.MohammedRady97 said:And by the way, acceleration of free fall is independent of mass.
The formula says nothing about what causes what.Raptor said:Force causes acceleration. You should avoid saying acceleration causes force.
Raptor said:Who said you are in free fall?? Mountains are triangular. You can roll on it instead of just falling.i was just giving a hypothetical example.now mg's sine component is greater for heavier object. So acceleration in the frame of reference of mountain surface is more.
No, not more meaningful.Raptor said:No.
F=ma says heavy objects need more force to move, and more force means more acceleration.
a=F/m is just a vector relation saying that acceleration is co linear with net vector F. Decrease In mass decreases the force acting on it which in turn reduces magnitude of acceleration. This is more meaningful.
Which is exactly what the original post describes!Raptor said:It is better to say acceleration is dependent on force than the inverse.
Who said that?Raptor said:You should avoid saying acceleration causes force.
Even the,Raptor said:Who said you are in free fall?? Mountains are triangular. You can roll on it instead of just falling.i was just giving a hypothetical example.now mg's sine component is greater for heavier object. So acceleration in the frame of reference of mountain surface is more.
You are making a distinction without a difference. They are the same thing.Raptor said:No.
F=ma says heavy objects need more force to move, and more force means more acceleration.
a=F/m is just a vector relation saying that acceleration is co linear with net vector F. Decrease In mass decreases the force acting on it which in turn reduces magnitude of acceleration. This is more meaningful.