Question

Would you be willing to travel to a star 10 light-years away and spend 5 years on the planet orbiting this star before returning home (25 plus years of your life) if you could travel at 99.9% the speed of light both ways? Explain, and be sure to include your calculations to defend your reasoning.

Answer 1

apparent distance = 0.447 light year

apparent time = 111.111 years

Step-by-step explanation:

Given data

distance d= 10 light year

spend time = 5 years

travel v = 99.9% of speed light = 0.999c

to find out

Would you be willing to travel to a star 10 light-years

solution

we can say apparent distance

d1 = d( √(1-v²/c²)

so

d1 = 10 light year ( √(1-(0.999c)²/c²)

d1 = 10 light year ( √(1-(0.998)

d1 = 10 light year (0.045)

d1 = 0.447 light year

so apparent time is

t1 = t/ ( √(1-v²/c²)

t1 = 5 year / 0.045

t1 = 111.111 years

so we can say that human age is limited and no object move as like speed of light