# Homework Assignment #9 - Optional

Due: Friday 7 August 1998 (last day of class - final exam day)

Chapter 39.

### QUESTIONS

Chapter 39 - 3, 4, 10, 11.

### PROBLEMS

Chapter 39 - 5, 6, 9, 14, 18, 37.

These are the ANSWERS only, not the SOLUTIONS. It is not sufficient to copy these and turn them in as homework. You must show your work.

Q 39-3) The observer on Earth would see the astronaut shrunk in the direction in which the astronaut is traveling. The other two perpendicular directions would be unaffected. For example, if the astronaut is facing the front of the ship, the observer on Earth would see the astronaut as thinner from front to back, but just as wide from side to side and just as tall as at rest.

The observer on Earth would measure the astronaut's pulse to be slower than normal.

The astronaut would not measure these changes in himself, but the astronaut measures the Earth-bound observer to be shrunk in one dimension, and to have a slower pulse. (Each sees the other as slowed down!)

Q 39-4) The clock which is moving eastward runs slower. When the clocks are brought back together, they are no longer synchronized; the Earth-bound clock has moved ahead.
Q 39-10) The mass of an object increases by the gamma factor. The volume of an object shrinks by the gamma factor; one dimension (say length) shrinks while the other two (width and height) do not change. The relativistic density m/V therefore increases by (gamma)2.
Q 39-11) The speed of light is always c = 3 x 108 m/s, no matter what the source is doing (receding or approaching).
P 39-5)
1. 60 m/s
2. 20 m/s
3. 44.7 m/s

P 39-6) 0.886 c
P 39-9) 0.8 c
P 39-14)
1. 1.37 y
2. 1.31 lightyears

P 39-18) 0.357 c
P 39-37) 4.2 billion kilorams per second!

Please report any corrections to Professor Scalise.