An Introduction To Mechanics

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Problem Set 12 Physics 116 : Due Friday, 04/25/2008 4. The Enterprise (NCC-1701D) is traveling at a speed v = 0.8 c right next to a stationary Romulan Warbird. The Warbird has two phasers, one at the front and the other at the rear of the ship, separated by a distance L . In the frame of the Warbird, the Romulan gunner fires the front and rear phasers simultaneously, hitting the Enterprise. How does the Romulan crew perceive the events of the front and rear phasers hitting the Enterprise? How does the crew of the Enterprise perceive the front and rear phaser hits? Assume the Enterprise is right next to the Warbird, and that the phaser beams do not travel any appreciable distance. 5. Consider two particles, A and B . In the lab frame, they start at the origin, and
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Unformatted text preview: A moves with a speed u and B moves with a speed v . They both move in straight lines, with an angle θ between their trajectories (again in the lab frame). What is the speed of A as seen from the reference frame of B ? 6. K&K, Problem 13.1 7. At the Cornell accelerator CESR, each electron has an energy of E = 5 GeV (or 10 9 eV). At the Large Hadron Collider (LHC) at CERN, each proton will have an energy of E = 7 TeV (10 12 eV). The rest mass of the electron is 9.11 × 10-31 kg, while the rest mass of the proton is 1 . 67 × 10 27 kg. What is γ for an electron at CESR or a proton at LHC? What is the difference in speed from the speed of light, c-v , for a CESR electron or an LHC proton? Why might someone think this answer might appear strange?...
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This note was uploaded on 09/09/2008 for the course PHYS 1116 taught by Professor Elser, v during the Spring '05 term at Cornell.

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