Is the product of P actually wug and what about

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The discussion revolves around the relationship between momentum (P), mass (m), velocity (v), and weight (w), with an attempt to derive a formula involving these variables. Participants clarify that the term "product" in mathematics refers to the result of multiplication, and thus the original assertions about the "product of v" and "product of m" are incorrect. The correct interpretation is that weight is defined as the product of mass and the acceleration due to gravity (w = mg). Additionally, there is a focus on deriving the formula for final velocity (Vf) in the context of constant acceleration, with participants discussing the integration of acceleration to find velocity and displacement. The conversation highlights the confusion around the use of symbols and the importance of understanding fundamental physics concepts.
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P = mv so do this mean that the product of v is μg and the product of m is weight?

So it could be written P = wμg

How is this formula derived Vf = √(Vi^2 + (2ad))
 
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Hi Probie1! :smile:
Probie1 said:
P = mv so do this mean that the product of v is μg and the product of m is weight?

So it could be written P = wμg

Sorry, I've no idea what you're talking about :redface:

what is the context (and what do you mean by "product")? :confused:
 
Does product not mean... umm the make up... it is part of or makes up?
I guess the context of all this is I am trying to undertand how formula's come about.



P = mv so do this mean that the product of v is μg and the product of m is weight?

So it could be written P = wμg



This is another question.

How is this formula derived Vf = √(Vi^2 + (2ad))
 
Mathematically "product" means the result of multiplying numbers. It simply doesn't make sense to talk about the "product" of a single number as in "product of v is μg" or "the product of m is weight". Perhaps you mean it the other way- weight is the product of mg. That is "mass times the acceleration due to gravity of an object is the force on that object due to gravity"- by definition its "weight". I'm not sure what you could mean by "v is the product μg", if that is what you intend, because you have not told us what μ is and it is not a standard symbol. Sometimes μ is used for the "coefficient of drag" but that doesn't make sense here. Assuming g is the acceleration due to gravity and v is velocity, their standard meanings, since v would have units of "meters per second" and g "meters per seconds squared", μ would have to have units of "seconds"- it would have to be a "time". Is that correct?
 
Probie1 said:
This is another question.

How is this formula derived Vf = √(Vi^2 + (2ad))

What other equations of motion do you know?
 
Hi Probie1! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)
Probie1 said:
How is this formula derived Vf = √(Vi^2 + (2ad))

This is one of the standard equations for constant acceleration.

So we start with a = constant.

Then, integrating, v = at + vi.

And integrating again, d = 1/2 at2 + vit.

Can you finish the proof? :wink:

Probie1 said:
Does product not mean... umm the make up... it is part of or makes up?

As HallsofIvy says, no.

What did you mean by P m v m and g ? :confused:
 
Can you finish the proof?

d = 1/2 at2 + vit.


D= at + vi2

Alright... stop laughing.


What did you mean by P m v m and g ?

P = momentum
m=mass
v=velocity
g = gravity
μ = friction
w= weight

I thought that if P=mv then v = a = μg but then I remembered where I left my brain because a = change in velocity over a change in time. So it can't possibly be the way I was thinking. So just forget I was so stupid to write that down.
 
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