Me and my friend are having a debate on whether it would be possible for a human to travel at 15,000 miles an hour from London to Australia in the matter of 90 minutes. Would a human be able to survive travel in such at fast speeds knowing he will have to overcome immense amount of g's. Basically is it possible for a human? or will he suffer death in the process?
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The distance from London to Australia is about 17,000km. If you wanted to minimise the acceleration you'd feel during the trip you'd accelerate continuously for the first half of the journey (8,500km) then decelerate at the same rate for the second half. To work out what acceleration is required you use the SUVAT equation: $$ s = ut + \frac{1}{2}at^2 $$ For half the journey the distance $s$ is 8,500km and the time $t$ is 45 minutes (2700 seconds), so using the above equation the acceleration required is about 2.33m/s$^2$, which is only about a quarter of a $g$. The only trouble is that your speed at the halfway point would be about 6,300m/s (about Mach 18), so you'd need a rocket rather than a plane to do it. |
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Gagarin flew around the world in 90 minutes 50 years ago, apparently without serious health problems.EDIT: OK, it was 108 minutes. |
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protected by Qmechanic♦ Feb 6 at 22:23
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