|
GR0177 #33 |
|
|
|
|
Alternate Solutions |
| There are no Alternate Solutions for this problem. Be the first to post one! |
|
|
Comments |
Ning Bao
2008-02-01 06:26:28 | Pions don't reach speed of light (incidentally, this eliminates E). It must be going very close, however, to contract 30m to a little less than 3 meters to not violate this. This means D. |  | StrangeQuark
2007-05-12 12:03:43 | To make this faster (avoid the "messy" fraction)
Note to start that this is not a photon thus answer E is out.
now as above,
L=v  t
L  =v t
some simplification steps
 =
now plug and chug...
=^2 ((3)(10^8)(\frac{m}{s}))^2}{(10^{-8}s)^2 ((3)(10^8)(\frac{m}{s}))^2+(30m)^2})
Note now that we have a
(10^{8}))
in the first term in the denominator, leaving only
in the denominator,
but 
so we simplify
<^2 ((3)(10^8)(\frac{m}{s}))^2}{(30m)^2})
after canceling we see that
v<(10^8)\frac{m}{s})
but only by a very small amount thus we have D | | boundforthefloor
2006-11-26 05:25:22 | Can anyone clarify this? I'm befuddled and can't find much that helps.
johnyp03
2006-11-29 17:48:43 |
So, you know L=30=vt in the lab frame. But, in the pion's frame, there is time dilation. So, t=t'=(gamma)t0 where t0=3*10^-8, gamma=1/(sqrt(1-v^2/c^2)). So:
30 = v(gamma)t0 = v*(10^-8)/(sqrt(1-v^2/c^2))
30*sqrt(1-v^2/c^2) = v*(10^-8)
900*(1-v^2/c^2) = v^2(10^-16)
900 = v^2*10^-16 + v^2*900/c^2
==================> 900/c^2=(900/9)*10^-16=10^-14
900 = v^2(10^-16 + 10^-14)
sqrt(900/(10^-16+10^-14)) = v
30/sqrt(1.01*10^-14) = v
30/1.005*10^-7 = v
v ~ 2.98*10^8
Hope this helps
|
boundforthefloor
2006-12-01 11:40:08 |
Thanks johnyp. The actual equation setup was killing me, now that I've seen the calcualtions it makes much more sense.
|
VanishingHitchwriter
2006-12-01 14:07:02 |
Surround your expressions with dollar signs for latex equations. Here's the guy's comment back again...
 where  , ) . So:
/(\sqrt{1-v^2/c^2}))
)
 = v^2(10^{-16}))
==================> *10^{-16}=10^{-14})
)
) = v)
 = v)
|
|  | senatez
2006-11-02 12:46:13 | I ended up with a messy fraction 10c/10.1 which you estimate as .99c. This is about 2.98*10^8. I sure wish they would give easier arithmatic, it is waists a lot of time. | |
|
| Post A Comment! |
|
|
Bare Basic LaTeX Rosetta Stone
|
LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces  .
|
| type this... |
to get... |
| $\int_0^\infty$ |
 |
| $\partial$ |
 |
| $\Rightarrow$ |
 |
| $\ddot{x},\dot{x}$ |
 |
| $\sqrt{z}$ |
 |
| $\langle my \rangle$ |
 |
| $\left( abacadabra \right)_{me}$ |
_{me}) |
| $\vec{E}$ |
 |
| $\frac{a}{b}$ |
 |
|
|
|
|
The Sidebar Chatbox...
Scroll to see it, or resize your browser to ignore it... |
|
|
|
