Question

Chapter 28 Homework Problem Set Use extra paper if needed 1. How long would it appear to take to reach Mars from Earth (distance km) for an observer aboard a spacecraft moving at 0.93c? = 225 million answer 2. How far would Mars appear to be from Earth for the observer aboard the spacecraft? answer 3. How fast must an object move in order to have a relativistic factor of 10? answer 4. A spacecraft flies towards the Earth at a speed of 0.800c and shines a laser at an observer on Earth. A what speed would the laser light be moving when measured from (a) a person aboard the spacecraft? (b) the observer on Earth?

I am looking for the work to be shown. The correct answers are:

1) 3.0 x 10^2 s (5 min)

2) 83 million km or 8.3 x 10^10 m

3) v= 0.995c or 2.99 x 10^8 m/s

Answer 1

relativistic factor ->r == YE = 2.7206 O ^3 vi - (0.930g to=225x108x103 = 80645 0.9363X108 t=to=806.45 = 3x10² v 2-7206 L=Lo=225 = 183 million km r 2.7206 Given r=10 -> 10=- Vice ? 6) c) V=0.995€