You decide to travel to a star 66 light-years from Earth at a speed that tells y

ID: 1508678 • Letter: Y

Question

You decide to travel to a star 66 light-years from Earth at a speed that tells you the distance is only 26 light-years.

Part A

How many years would it take you to make the trip? Count the time in the travellers system.

Express your answer using two significant figures.

You decide to travel to a star 66 light-years from Earth at a speed that tells you the distance is only 26 light-years.

Part A

How many years would it take you to make the trip? Count the time in the travellers system.

Express your answer using two significant figures.

l = l0 * sqrt [1 - v2/c2]

v = c * sqrt [1 - (l/l0)2]

t = l / v = l / c * sqrt [1 - (l/l0)2]

= 26 ly / [c * sqrt [1 - (26 ly/66 ly)2]]

= ( 26 y ) c / (c * 0.919)

= 28 y

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