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solve V1=(V2-u)/(1-uV2/C2) for V2

jhanson58

New member
Dec 8, 2013
3
I am trying to understand my math problem. I know what an exponent is. But what does it mean when X 2 you have a little 2 in the lower right hand corner.

V1=V2-u/1-uV2/C2 Solve for V2 How do I go about doing this.
 
Last edited:

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
I am trying to understand my math problem. I know what an exponent is. But what does it mean when X 2 you have a little 2 in the lower right hand corner.

V1=V2-u/1-uV2/C2 Solve for V2 How do I go about doing this.
Welcome to MHB, jhanson58! :)

A little 2 in the lower right hand corner distinguishes variables.
So $x_1$ is a different variable from $x_2$.
We might also call them simply $x$ and $y$.


As for your equation, can you clarify it?
I read it as:
$$V_1=V_2-{u \over 1}-{uV_2 \over C_2}$$
But I suspect that is not what you intended.
What did you intend?


Btw, as you can see I moved your post to a new thread, since it's a new topic.
 

jhanson58

New member
Dec 8, 2013
3
The problem is

V1=V2-u
-----
1-uV2
----
C2


Solve for V2

How do I put symbols or equation on this page.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,492
Start by using parentheses. Every expression can be written in one line using parentheses. Remember the order of operations.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
The problem is

V1=V2-u
-----
1-uV2
----
C2


Solve for V2

How do I put symbols or equation on this page.
On our toolbar, you will see a button with the \(\displaystyle \sum\) character on it. Clicking this button will generate the MATH tags, between which you can put your $\LaTeX$ code. To see the code used by others, right click the expression, and from the pop-up menu choose Show Math As ► Tex Commands. You can then copy/past the code for your own use/modification.

There is a small learning curve to get familiar with the characters and commands, but once you get some practice it becomes second nature.
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
The problem is

V1=V2-u
-----
1-uV2
----
C2


Solve for V2

How do I put symbols or equation on this page.
Is it like this?
$$V_1 = \frac {V_2 - u} {1 - \frac{uV_2}{C_2}}$$

Note that when you click Reply With Quote, you can see how I typed the formula and you can easily copy+paste it.
 

jhanson58

New member
Dec 8, 2013
3
I do not understand how to put the problem in correctly.when I right click on it. I do not see any symbols to help me.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,492
I do not understand how to put the problem in correctly. when I right click on it.
Well, you should right-click a mathematical expression (and then select "Show Math As ► Tex Commands") in another post, like the following expression from post #6:
\[
V_1 = \frac {V_2 - u} {1 - \frac{uV_2}{C_2}}
\]
You may need to turn Javascript on in your browser. If this does not work, use other suggestions above.
 
Last edited:

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,123
It looks to be like a variant on the velocity addition formula from SR:
[tex]\large v_1 = \frac {v_2 - u} {1 - \frac{uv_2}{c^2}}[/tex]

-Dan
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
It looks to be like a variant on the velocity addition formula from SR:
[tex]\large v_1 = \frac {v_2 - u} {1 - \frac{uv_2}{c^2}}[/tex]

-Dan
Nice one! ;)

Then, to solve $v_2$ from it, we can observe that in SR from the perspective of the other observer, the velocities are added instead of subtracted. Therefore:
$$v_2 = \frac {v_1 + u} {1 + \frac{uv_1}{c^2}}$$
 

Granny

New member
May 20, 2018
2
i need help! it says 0.999999.... is 1! how can That be?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775