QUIZ 2
EVEN ANSWERS 14, 16, 22, 30,  44, 56, 58, 60.
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14.

Multiplying the last equation of (37.21) by u and adding to the first to eliminate t gives

and multiplying the first by  and adding to the last to eliminate x gives

which is indeed the same as Eq. (37.21) with the primed coordinates replacing the unprimed, and a change of sign of u.

16.

(a) In Mavis’s frame the event “light on” has space-time coordinates  and s, so from the result of Exercise 37.14 or Example  37.7,  and .

(b) The 5.00-s interval in Mavis’s frame is the proper time  in Eq.(37.6), so as in part (a).

(c)  m, which is the distance found in part (a).
22.

(a)

(b) Use the distance it moves as measured in your frame and the speed it has in your frame to calculate the time it takes in your frame.  .

.
30.

The force is found from Eq.(37.32) or Eq.(37.33).

(a) Indistinguishable from

(b)

(c)

(d)

44. (a) v/c = 0.6881  (b)  274 Mev.  (c) 548 Mev 

(d)

The kinetic energy lost by the protons is the energy that produces the



56.

(a)

(b)

(c) . 


58.

(a)  where the atom and the photon have the same magnitude of momentum,

(b)  so

60.

(a) with , and gives and .  and or

  . 

Can’t have , so only is physically allowed.  The speed measured by the observer in the lab is 0.268c.

(b) (i) .  .  .

(ii) .  .  .