Is the product of P actually wug and what about

  • Context: Undergrad 
  • Thread starter Thread starter Probie1
  • Start date Start date
  • Tags Tags
    Product
Click For Summary

Discussion Overview

The discussion revolves around the relationship between momentum (P), mass (m), velocity (v), and weight, as well as the derivation of the kinematic equation Vf = √(Vi^2 + (2ad). Participants explore the meanings of terms like "product" and seek clarification on the connections between these physical concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that if P = mv, then the product of v could be μg and the product of m could be weight, suggesting a formula P = wμg.
  • Others express confusion regarding the use of the term "product" and seek clarification on its meaning in this context.
  • A participant clarifies that mathematically, "product" refers to the result of multiplication, and questions the validity of the statements regarding the products of v and m.
  • There is a discussion about the standard meanings of the symbols used, with one participant noting that μ is not a standard symbol in this context and questioning its definition.
  • Participants inquire about the derivation of the kinematic equation Vf = √(Vi^2 + (2ad) and discuss the integration process involved in deriving equations of motion.
  • One participant reflects on their earlier thoughts regarding the relationship between acceleration and other variables, expressing uncertainty about their understanding.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of "product" and the relationships between the variables discussed. The discussion remains unresolved, with multiple competing interpretations and no consensus reached.

Contextual Notes

There are limitations in the clarity of definitions and the assumptions underlying the use of symbols like μ. The discussion also highlights unresolved mathematical steps in deriving the kinematic equation.

Probie1
Messages
37
Reaction score
0
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))
 
Physics news on Phys.org
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.
 
Last edited:

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 69 ·
3
Replies
69
Views
66K
  • · Replies 27 ·
Replies
27
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K