How to Calculate Time Dilation with Spaceship Speeds | Expert Help

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SUMMARY

The discussion focuses on calculating time dilation for a spaceship traveling at relativistic speeds, specifically 0.75c and 0.92c. The observer on the spaceship measures a time interval of 38 hours for events on Earth. Using the time dilation formula Δt = Δtp/sqrt(1 - v^2/c^2), the correct calculation for the time interval at 0.92c yields approximately 30.97 hours. The initial confusion was resolved, confirming the calculations were accurate.

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cyberdx16
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Time Dilation help please

Homework Statement


A spaceship is moving at 0.75 c (0.75 times the speed of light) with respect to the earth. An observer on the spaceship measures the time interval between two events on Earth as 38 hrs. If the spaceship had been moving with a speed of 0.92 c with respect to the earth, what would the time interval between the events have been?

Δt0.92 c = _____hrs

Homework Equations




Δt=Δtp/sqrt1-v^2/c^2



The Attempt at a Solution



v=.75(3e8)=2.25e8m/s
t=1/368e5sec
v=d/t
d=3.078e13m

Δtp=3.078e13/v

v=.92(3e8)=2.76e8


Δtp=3.078e13/2.76e8
=1.115e5sec
=30.97hr

but this is not the correct ans
 
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nvm got it
 

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