Relativity paradox

I can't resolve a problem I thought of in special relativity, was hoping somebody here could help. This is going to sound somewhat strange, but say I'm floating in space, no accelerations involved. Suddenly a spacecraft flies past me, inside are a bunch of incompetent physicists trying to make a nuclear bomb and test it in their spacecraft (leading to their certain demise). From their perspective, the nuclear fission reaction fails, say, because they didn't make the nuclear fuel dense enough for the reaction to happen properly (it wasn't dense enough to get the reaction going) so the experiment fails and they survive.

However from my perspective, they are travelling near to the speed of light, and their length is shortened in their direction of motion. This means that from my perspective, the nuclear fuel is now much more dense (its been squashed lengthways). This happens to just be enough to get the nuclear fuel to critical density and the reaction doesn't fail from my perspective, the bomb explodes and the ship gets destroyed.

...I feel I'm missing something painfully obvious, thanks in advance if you can explain this.

#Relativity #Nuclear #Fission

Note by Jord W
7 years, 5 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

The blast is still going to happen at their perspective., not yours, how would the reaction achieve critical mass, if they are traveling at constant speed ?

Divjot Jolly - 7 years, 1 month ago

Log in to reply

i don't understand what you're asking, btw doesn't matter i've got this resolved by someone else anyway

Jord W - 7 years, 1 month ago
×

Problem Loading...

Note Loading...

Set Loading...