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PHY 251 Fall 2009: homework problem set 1, due PHY 251 drop box in room A129 by noon on
Friday, Sep. 11.
1. Show that if one uses the Galilean relativity transformation of
x
2
=
x
1
−
vt
1
y
1
=
y
2
z
1
=
z
2
t
1
=
t
2
(1)
and the relationships for expansion of light spheres of
x
2
1
+
y
2
1
+
z
2
1
−
c
2
t
2
1
= 0
(2)
x
2
2
+
y
2
2
+
z
2
2
−
c
2
t
2
2
= 0
.
(3)
that you get a nongeneral and inconsistentwithclassicalphysics result.
2. Show how classical relativity affects speed in an airplane flight with either headwinds and
tailwinds, or crosswinds. Let’s say that the wind is blowing east west at a velocity of
v
= 10
m/s, and that you’re in an airplane that travels at a speed of
c
= 250
m/s. Consider a round
trip journey where you fly 300 km out and back as measured on the ground, going east then
west. Then consider the case where you go straight south then north as measured from the
ground (what compass heading should you fly the plane at to accomplish this?). What’s the
time difference between the two trips? Work out an algebraic answer approximated to lowest
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 Fall '01
 Rijssenbeek
 Physics, Work

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