What Happens When an Asteroid Traveling at 0.9c Collides with Earth?

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The discussion revolves around the implications of an asteroid traveling at 0.9c colliding with Earth, focusing on various calculations and concepts from relativity. Key points include determining the space-time coordinates at the moment of collision and the time dilation experienced by mice on the asteroid before impact. The energy released upon collision, calculated using the asteroid's mass, is also a critical aspect, alongside considerations of Earth's nuclear arsenal and its potential to avert disaster. Participants are encouraged to engage with the problem-solving process, applying relevant physics principles such as time dilation, length contraction, and Lorentz transformations. The thread emphasizes collaborative problem-solving and the importance of initial attempts in tackling complex physics questions.
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in Earth's reference frame:
1) what is the space time coordinate when time = 0
2)when the asteriod will collide wth the earth?

asteriod speed = 0.9c
asteriod colliding with eath in 2 hrs time

b)The mice population in asteriod. In mice reference frame, determine how much time they are able to live before Asteriod collides with Earth?

C)Asteriod mass is 10*8kg is smashing onto earth, How much energy it will released?

d)If Earth has 10*22kJ of nuclear ordinance, can Earth evade this castrophoy?

e)In asteriod reference frame.
a) find the space time coordinate when t=0
b) asteriod collision with earth

thanks mate for attempting this question... appreciated guys :)
 
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welcome to pf!

hi rainbow90! welcome to pf! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
i do know i have to use
time dilation
length contraction
lorentz tranformation
time space coordinate

and also e=mc^2

but i not sure how to apply to this question

your help will be aprreciated :)
 
sorry, but on this forum you have to try the problems yourself first …

start with the poor ol' mice :redface: …

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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