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Deriving F=ma? a vs F?

  • Thread starter vysis
  • Start date
28
0
I knew i should have paid more attention in class =/

anyways, We have been studying newton's second law. And I have a question on my lab that asks for me to "derive equation for a (acceleration) vs F (force) and a (acceleration) vs m (mass)"

a vs F and a vs M are two graphs which we did.

and I am at a complete lost at what to do. I have no idea how to or what to derive. My only hint is a small piece of note I copied from teacher's notes. It goes like this:

It looks like slope is equal to 1/mass. So

a α(alpha) F
a α 1/m
a α F/m
F = ma

does anybody know what a(alpha) stands for? And what it exactly means by "deriving equation?"

thank you very very much.
 

Answers and Replies

458
0
Deriving means how someone formulates an equation through other equations or experimental results. The alpha symbol means 'is proportional to'.
 
28
0
so would i derive a vs F or a vs m in the same fashion as:

a (alpha) x
a (alpha) y
a (alpha) z
a = xyz
 
Astronuc
Staff Emeritus
Science Advisor
18,542
1,684
a α(alpha) F
a α 1/m
a α F/m
That's not α (alpha) but rather [itex]\varpropto[/itex], which means a is proportional to F, a is proportional to 1/m, and a is proportional to F/m, with the last being a one-to-one proportionality which gives a = F/m.
 
28
0
ahh, ic
thank you very much. That might explain why i never got anything by searching up alpha on google :P

can you please tell me what it is called?
 
458
0
It's called a proportionality symbol.
 
32
0
F [itex]\varpropto[/itex] ma? How to say that F=ma? is not F=kma?
 

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