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Question
in AD 1054 chinese astronomers observed the light from a supernova in the night sky. This supernova was the incredidbly powerful origin of what is now the Crab Nebula.
  
  Using the valocity of light, devise and execute a strategy for finding out when the supernova actually occurred, relative to when the chinese astronomers saw the explosion.

 ''distance from earth to crab nebula  6500 light years''




1. what are some possible strategies for solving this problem?


2.of the strategies that u listed in (1) discuss the advantages and disadvantages of each?

Answer
Hi Ashley,

Well, light travels at one light year per year hence the name light year. So, in order for us to see the supernova, we would have to see the light it emits (after all, that's what seeing is). So since light takes a year to travel a light-year, it would take 6500 years to travel 6500 light years. So the actual supernova took place 6500 years before the Chinese astronomers saw it in 1054. So that means it took place in
5446 BC.

This strategy is foolproof since its logic is sound and there are no measurements needed. The only way this could go wrong is if the information provided, namely the distance from earth to the crab nebula and the year the astronomers saw it, was faulty.


I hope this helps,
Robi

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Robi Bhattacharjee

Expertise

I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.

Experience

I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).

Organizations
I am in the San Diego Math Circle

Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.

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