Time Dilation, Spaceship Problem

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Homework Help Overview

The discussion revolves around a time dilation problem involving a spaceship traveling at 90% of the speed of light, with a focus on calculating the time experienced on Earth during the journey, which is stated to be 14 years according to the ship's clocks.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the correct application of the time dilation formula, with some confusion regarding the variables and their meanings. There are attempts to clarify the formula and its components, alongside questions about calculation methods and the use of superscripts in equations.

Discussion Status

The conversation has progressed through various attempts at calculations, with some participants providing corrections and clarifications on the formula. There is a recognition of the importance of step-by-step calculations, and a few participants have indicated that they are revising their approaches based on feedback.

Contextual Notes

Some participants express frustration over the clarity of mathematical notation and the challenges of using the forum's formatting tools. There is an acknowledgment of the need for precision in calculations, especially when dealing with complex formulas.

  • #31
Rookie said:
:( it's about 3am and my mind tend to drift.
How about this 44.2718870949

Still not it. Post it step by step.
 
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  • #32
Okay, okay give me some time I'll be back with a new answer!
 
  • #33
t' / √1 - ( v / c )2

t' = 14
14 / √1 - ( v / c )2

14 / √ 1 - ( 269813212 / 299792458 )2
√ 1 - ( 269813212 / 299792458 )2
( 269813212 / 299792458 )2 =0.80999999879
14 / √ 1 - 0.80999999879
1 - 0.80999999879 = 0.19000000121
14 / √ 0.19000000121
√ 0.19000000121 = 0.43588989574
14 / 0.43588989574 = 32.1182026398
Answer = 32.1182026398

Please be right ;(
 
  • #34
Yes, now it is correct. Taking the time to solve the equation step by step can save you a lot of time and grief.
 
  • #35
So the answer is t=32.1 years. Don't forget the units and avoid excessive number of significant figures.
 
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  • #36
THANK YOU SUCH MUCH GUYS! Really thank you. I can now sleep in ease. I will remember to properly solve the equation step by step on my exam!
 
  • #37
dauto said:
So the answer is t=32.1 years. Don't forget the units and avoid excessive number of significant figures.

Sure thing. Thank you.
 
  • #38
Rookie said:
THANK YOU SUCH MUCH GUYS! Really thank you. I can now sleep in ease. I will remember to properly solve the equation step by step on my exam!

You're welcome.
 

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