Identifying Physics Errors in a Star Trek Episode

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In the discussed Star Trek episode, a significant physics error is identified regarding the explosion of a space station. Sound cannot travel in the vacuum of space, meaning the crew of the Enterprise should not have heard the explosion. Additionally, the crew sees and hears the explosion simultaneously, which is incorrect since light travels faster than sound. Therefore, there would be a noticeable delay between seeing the explosion and hearing it. These points highlight fundamental misunderstandings of sound and light propagation in space.
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Homework Statement


In a star Trek episode, a space station orbiting a planet blows up. The chew of the Enterprise simultaneously hears and see the explosion; they realized that tehre is no chance for rescue. If you have been hired a consultant, what two physics errors would you have found and correct?


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The Attempt at a Solution


Since there is no gas in space, there should be no sound because sound can't travel if there is an absent in gas. ... and i don't know the othre reason... can someone help me understand it?
 
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Think about this part carefully:

The chew of the Enterprise simultaneously hears and see the explosion

LOL the "chew" :smile:
 
which means that.. they can't simultaneously see and hear because sound wave (longitudinal wave)travels much slower than transverse wave...?
 
Yes, light travels faster that sound. So they couldn't see and hear the event at the same instant.
 
thanks for the help.
 
You're welcome. :smile:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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