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Math Help - Theory of Relativity help

  1. #1
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    Theory of Relativity help

    I have another problem that i am stuck on


    Theory of Relativity help-theory.bmp

    m0 is the rest mass and c is the speed of light. What happens as v goes to c-

    can anyone help me out i little i have been looking at this on too long and i am getting confused.

    Thanks
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  2. #2
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    Quote Originally Posted by bigdogsmhs306 View Post
    I have another problem that i am stuck on


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    m0 is the rest mass and c is the speed of light. What happens as v goes to c-

    can anyone help me out i little i have been looking at this on too long and i am getting confused.

    Thanks
    As v \, \rightarrow \, c then 1-\frac{v^2}{c^2} \, \rightarrow \, 1-1 = 0

    As the denominator of a fraction tends to 0 the variable being measured gets infinitely large, in this case m gets infinitely large.

    Since division by 0 is undetermined then an object travelling at c would have undetermined (but very large) mass. This means that nothing can travel at c.


    To summarise as v \, \rightarrow \, c \: \: \text{  ,  } \: m \, \rightarrow \, \infty
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  3. #3
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    ok so if

    v \, \rightarrow \, -c \: \: \text{  ,  } \: m \, \rightarrow \, -\infty<br />

    would that be right or not
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  4. #4
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    Quote Originally Posted by bigdogsmhs306 View Post
    ok so if

    v \, \rightarrow \, -c \: \: \text{  ,  } \: m \, \rightarrow \, -\infty<br />

    would that be right or not
    No, it wouldn't be right. Think about what happens when you square a number
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  5. #5
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    oh ok ya that is right because anytime that you square a number it is always positive.
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