Chapter 1 Homework Solutions
1.
All else being equal, relativistic phenomena would be less conspicuous if the speed of light
were larger.
We would have to obtain an even larger speed than we do now for relativistic
effects to manifest themselves.
2.
To the observer, the watch in the rest frame of the runner records a 10% smaller time so
t
0
=0.9t
and
γ
=1/0.9=1.11
so
and v=(1-.81)
1/2
c=0.44c
3.
Assume the car on earth is moving slowly compared to the speed of light so the speed of the
spacecraft relative to the car is .6C In eq. 1.3 t = 50 mins is the time measured by observer in the
moving spacecraft. While t
0
is the time the driver notices to elapse during the course of the trip
so,
t
0
= t* sqrt(1-v
2
/c
2
) = 40 minutes.
4.
The astronaut’s proper length (height) is 5 ft, which is what an observer in the spaceship

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