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Category: Mechanics

Question-213613

Question Number 213613 by Spillover last updated on 10/Nov/24 Answered by Frix last updated on 10/Nov/24 $$\mathrm{The}\:\mathrm{universe}\:\mathrm{is}\:\mathrm{all}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is},\:\mathrm{it}'\mathrm{s}\:\mathrm{simply} \\ $$$$\mathrm{expanding}\:\mathrm{into}\:\mathrm{itself}. \\ $$$$\mathrm{We}\:\mathrm{cannot}\:\mathrm{find}\:\mathrm{analogies}\:\mathrm{to}\:\mathrm{this},\:\mathrm{the}\:\mathrm{picture} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{balloon}\:\mathrm{isn}'\mathrm{t}\:\mathrm{accurate}. \\ $$…

Question-213615

Question Number 213615 by Spillover last updated on 10/Nov/24 Answered by Frix last updated on 10/Nov/24 $$\mathrm{The}\:\mathrm{photon}. \\ $$$$\mathrm{The}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{light}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{in}\:\mathrm{every} \\ $$$$\mathrm{reference}\:\mathrm{frame}.\:\mathrm{This}\:\mathrm{means}\:\mathrm{no}\:\mathrm{matter}\:\mathrm{how} \\ $$$$\mathrm{fast}\:\mathrm{the}\:\mathrm{observer}\:\mathrm{moves},\:\mathrm{the}\:\mathrm{photons}\:\mathrm{are} \\ $$$$\mathrm{always}\:\mathrm{moving}\:\mathrm{away}\:\mathrm{from}\:\mathrm{him}\:\mathrm{with}\:\mathrm{about}…

Question-213234

Question Number 213234 by ajfour last updated on 01/Nov/24 Commented by Ghisom last updated on 01/Nov/24 $$\mathrm{let}\:{r}=\mathrm{1} \\ $$$${P}\in\mathrm{circle}:\:{P}=\begin{pmatrix}{\mathrm{cos}\:\theta}\\{\mathrm{1}+\mathrm{sin}\:\theta}\end{pmatrix} \\ $$$$\mathrm{parabola}:\:{y}=\left(\frac{\mathrm{2}+\mathrm{sin}\:\theta}{\mathrm{cos}\:\theta}−\frac{{x}}{\mathrm{cos}^{\mathrm{2}} \:\theta}\right){x} \\ $$$$\mathrm{tan}\:\alpha=\frac{\mathrm{2}+\mathrm{sin}\:\theta}{\mathrm{cos}\:\theta} \\…