Question

3. A starship moving at 0.85c travels from Earth to the Wolf-359 system, 7.9 light years away. How long will the trip take according to

a) Earth’s clocks?

b) the starship’s clocks?

c) How far is it from Earth to the star according to the starship’s crew?
d) What do they compute their speed to be?

Answer 1

Hello Dear,

3. ze O Wolf-359 Earth stanship Sa Given, velocity of the ship with respect to earth is V = 0.85ė Distance between Earth & Wolf-359 s = 7.9. 7.9 ly a) The trip will take time according to Earth's clocks 7, - s .7.989,46 0.85 X 3x108 (m/s) (b) time taken according to starship's clocks so -0% 9.3 √1-(0.85 years so 15 x 10 9.3 years t = 3 / 4 29 t= 4.9 years 40 = 7.9 -CC) According to starship's crew the distance is contracted, the distance is 8= 8. 1-uy |-0.8 89 4:16 light years (d) According to the starship's crew, their speed is zero and earth is from them with velocity v= -0.85e. SG moving away
Hope this helps..