Physics

Physics · modern-physics

Problem

ii. What is the vertical velocity of the muons in Bob's reference frame? Given constants: ## Flashlight Alice the Mad Scientist, travelling in her flying car at height hh above the ground, shoots a beam of muons at the ground. Bob, observing from the ground at distance R≫hR \gg h from Alice's car, decides to check some facts about special relativity. Assume the muons travel extremely close to the speed of light in Alice's frame. <image_1> a. Alice's car flies at horizontal speed v=βcv=\beta c. Alice shoots her muon beam straight down, in her reference frame. Express your answers in terms of β,h,R\beta, h, R and fundamental constants. Context question: i. What is the horizontal velocity of the muons in Bob's reference frame? Context answer: v=βcv=\beta c

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