Special Relativity Calculation Examples // HSC Physics

This video explains common calculation questions on theory of special relativity including time dilation, length contraction, relativistic momentum & energy-mass equivalence. 🌟 Become a YouTube Member: https://www.youtube.com/channel/UCjIccPoNcqhJcH6Mhpk-L2w/join 📖 Visit our website: http://www.scienceready.com.au 🏅 Become a Patron: https://www.patreon.com/scienceready 🎶 Follow our Tiktok https://www.tiktok.com/@hscscienceready ♥️ Follow our Instagram page: http://www.instagram.com/hscscienceready 👍🏼 Like our Facebook page: http://www.facebook.com/hscscienceready ⌚Timestamp 00:00 Example 1 - Time dilation 02:33 Example 2 - Length contraction 04:43 Example 3 - Relativistic momentum 07:03 Example 4 - Energy-mass equivalence 08:46 Example 5 - Time dilation & length contraction 📚Syllabus • investigate the evidence, from Einstein’s thought experiments and subsequent experimental validation, for time dilation 𝑡=𝑡_0/√((1− 𝑣^2/𝑐^2 ) ) and length contraction 𝑙=𝑙_0 √((1−𝑣^2/𝑐^2 ) ), and analyse quantitatively situations in which these are observed, for example: – observations of cosmic-origin muons at the Earth’s surface – atomic clocks (Hafele–Keating experiment) – evidence from particle accelerators – evidence from cosmological studies • describe the consequences and applications of relativistic momentum with reference to: – 𝑝_𝑣=(𝑚_0 𝑣)/√((1−𝑣^2/𝑐^2 ) ) – the limitation on the maximum velocity of a particle imposed by special relativity (ACSPH133)