People hoping to travel to other worlds are faced with huge challenges. One of t

Question

People hoping to travel to other worlds are faced with huge challenges. One of the biggest is the time required for a journey. The nearest star is 4.1 x 1016 m away. Suppose you had a spacecraft that could accelerate at 1.1 gfor one third of a year, then continue at a constant speed. (This is far beyond what can be achieved with any known technology) How long would it take you to reach the nearest star to earth? Express your answer using two significant figures 18.58 Submitnswer Give e Incorrect; Try Again; 23 attempts remaining yr 16 17 19 20 21 24 26

Explanation / Answer

Given

s = 4.1*10^16 m

a = 1.1g

1/3 rd of a year is 12/3 = 4 months ==> t = 86400*30*4 s = 10368000 s

using equations of motions

V = u +at

v = 0 + 1.1*9.8*10368000 m/s

v = 111767040 m/s

time taken is t = s/v = (4.1*10^16)/111767040) s = 366834444.2154 s

converting in to years t = 11.7938 yrs

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