Results 1 to 4 of 4

Thread: simplify

  1. #1
    Newbie
    Joined
    Jun 2009
    Posts
    4

    simplify

    Simplify this :

    $\displaystyle \frac{\frac{1}{2}mv^2}{\frac{1}{2}m(\frac{m^2u^2}{ M^2})}$

    $\displaystyle =\frac{u^2}{\frac{m^2u^2}{M^2}}$

    $\displaystyle =\frac{M^2}{m^2}$

    $\displaystyle =\frac{M}{m}$

    i doubt if i am correct (the last 2 steps) , is it possible to change this
    $\displaystyle \frac{M^2}{m^2}$ to $\displaystyle \frac{M}{m}$

    THanks ..
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,854
    Thanks
    138
    Quote Originally Posted by alphabeta View Post
    Simplify this :

    $\displaystyle \frac{\frac{1}{2}m{\color{red}v^2}}{\frac{1}{2}m(\ frac{m^2u^2}{M^2})}$

    $\displaystyle =\frac{\color{red}u^2}{\frac{m^2u^2}{M^2}}$.......<<<<<<< are you sure?

    $\displaystyle =\frac{M^2}{m^2}$

    $\displaystyle =\frac{M}{m}$

    i doubt if i am correct (the last 2 steps) , is it possible to change this
    $\displaystyle \frac{M^2}{m^2}$ to $\displaystyle \frac{M}{m}$

    THanks ..
    $\displaystyle \frac{v^2}{\frac{m^2u^2}{M^2}} = \frac{M^2 \cdot v^2}{m^2u^2} = \left(\frac{M \cdot v}{m \cdot u} \right)^2$

    You only can cancel the Mms if M = m.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2009
    Posts
    4
    Quote Originally Posted by earboth View Post
    $\displaystyle \frac{v^2}{\frac{m^2u^2}{M^2}} = \frac{M^2 \cdot v^2}{m^2u^2} = \left(\frac{M \cdot v}{m \cdot u} \right)^2$

    You only can cancel the Mms if M = m.

    sorry , it should be :
    $\displaystyle

    \frac{\frac{1}{2}mu^2}{\frac{1}{2}M(\frac{m}{M}u)^ 2}
    $
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,854
    Thanks
    138
    Quote Originally Posted by alphabeta View Post
    sorry , it should be :
    $\displaystyle

    \frac{\frac{1}{2}mu^2}{\frac{1}{2}M(\frac{m}{M}u)^ 2}
    $
    In this case your result is OK:

    $\displaystyle

    \frac{\frac{1}{2}mu^2}{\frac{1}{2}M(\frac{m}{M}u)^ 2} = \frac{\frac{1}{2}m u^2}{\frac{1}{2}M \cdot \left(\frac{m^2}{M^2}\cdot u^2\right)} = \frac{\frac{1}{2}m u^2}{\frac{1}{2}m u^2 \cdot \frac{m}{M}} = \dfrac Mm
    $
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. simplify #2
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Sep 21st 2009, 02:37 PM
  2. Please simplify
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: Apr 27th 2009, 04:32 AM
  3. Can you simplify this further?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Apr 23rd 2009, 06:45 AM
  4. Simplify
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Apr 12th 2009, 05:06 AM

Search Tags


/mathhelpforum @mathhelpforum