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o 2 3 4 x(m) (b) When 10 seconds have passed on the rocket's clock, only 6 seconds have passed on
the laboratory clock. Solutions to HW 1: Ch. 1 – 18, 23, 27, 43; Ch. 2 – 1, 4, 5, 8
118. (a)
U' =0 U~ =0 x y x'
v
x = U
x U'
x +v 1 + vU.: O+V ==V
Ic
1+ 0
2 (Equation 123) 7 Comments:
This version of the solution is done in the pion frame. This could also be done in the lab frame to get the
same solution using time dilation (from part b).
t = 50 m / 0.92c = 1.81 x 107 s (travel time of pions in lab frame)
N(t) = N0et/τ = (50000)e(181/66.3) = 3260
(Note, the text solution rounds time to 7 ns, if you keep 2 significant digits 7.1 ns, you get 3260) Calculation for part (c) is incorrect: W21 = 346 MeV = 5.54 x 10 11 J ...
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 Fall '08
 jjdong
 Chemistry, Electron, lab frame, text solution rounds

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