Recent content by George231086
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Photon Starship, energy momentum
Right i think I've got it, if I've fudged it or my reasoning is wrong i'd appreciate a correction. So I've considered it as if it was a particle which has split into two, a photon and the spaceship in motion. I've taken it from the rest frame of the initial space ship. So using...- George231086
- Post #2
- Forum: Introductory Physics Homework Help
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Photon Starship, energy momentum
Hi I'm having trouble with this question and would like some kind of hint on how to proceed. A photon starship starts from rest and propels itself by emitting photons in the direction opposite to its motion until it reaches a speed v. Use energy momentum conservation law to show that the...- George231086
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- Energy Momentum Photon Starship
- Replies: 1
- Forum: Introductory Physics Homework Help
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Graduate Solving a limit problem using the definition of convergence
Seems good. Sn>0 for all n, so let M=min{s_0, s_1 ...}. Then as sn converges to s there exists an N such that |sn-s|<eM for all n>N. \frac{|s_n-s|}{s_n}\leq \frac{|s_n-s|}{M}< e Yeah, so both cases are sorted.- George231086
- Post #12
- Forum: Calculus
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Graduate Solving a limit problem using the definition of convergence
I think the problem is that we have log(S_{n}) - log(s) = log(\frac{S_{n}}{s}) \leq \frac{S_{n}}{s} - 1 but we can't say that |log(S_{n}) - log(s)| = |log(\frac{S_{n}}{s})|\leq |\frac{S_{n}}{s} - 1| because the last inequality is only true if sn/s>1. If that was the case then we...- George231086
- Post #10
- Forum: Calculus