Solution Found!
•• IP (a) Is it possible for you to travel far enough and
Chapter 29, Problem 14P(choose chapter or problem)
Problem 14P
•• IP (a) Is it possible for you to travel far enough and fast enough so that when you return from a trip, you are younger than your stay-at-home sister, who was born 5.0 y after you? (b) Suppose you fly on a rocket with a speed v = 0.99c for 1 y, according to the ship’s clocks and calendars. How much time elapses on Earth during your 1-y trip? (c) If you were 22 y old when you left home and your sister was 17, what are your ages when you return?
Questions & Answers
QUESTION:
Problem 14P
•• IP (a) Is it possible for you to travel far enough and fast enough so that when you return from a trip, you are younger than your stay-at-home sister, who was born 5.0 y after you? (b) Suppose you fly on a rocket with a speed v = 0.99c for 1 y, according to the ship’s clocks and calendars. How much time elapses on Earth during your 1-y trip? (c) If you were 22 y old when you left home and your sister was 17, what are your ages when you return?
ANSWER:
Step 1 of 3:-
a)
Here, we have to explain whether you could become younger than your younger sister after the trip or not.
Unfortunately yes, you could be younger than your younger sister when you will be back. By the relativistic speed, your clock will run much slower according to your sister’s. By that time you sister would be much elder and for you will be younger than her.
So, the answer is yes you could be younger than your sister.