6.A spaceship of proper length L, = 54.0 m is moving relative to the Earth in the +xdirection at a constant velocity with a speed parameter ß= 0.9750. (Hint: The proper lengthof an object is measured in the rest frame of that object.) The tip of the spaceship crosses theorigin (x = 0) at t = 0 in the Earth frame and at t, =0 in the frame of the moving spaceship.What is the length of the moving spaceship, L , in the Earth frame?a.b.At what time in the Earth frame does the tail of the spaceship pass the Earth frame origin, tRс.At what time in the frame of the moving spaceship does the tail of the spaceship pass theEarth frame origin, t, ?Вd. If, in the spaceship frame, a laser is fired from the tip of the spaceship at time t', = 0 (in thespaceship frame), when in the spaceship frame, does the light from the laser reach the tail ofthe spaceship, t. ?е.For the laser described in part d., when in the Earth frame does the laser light reach the tailof the spaceship, t,?f.In the Earth frame, where is the tail of the spaceship, x, , when the laser beam reaches thetail at time t. ? Waves in general:FORMULA PAGE 1a y1-dimensional wave equation:1 a'y; here v is the speed of the wavev? ôt?Solution: f(x- vt) or f(x+vt)Harmonic or sinusoidal waves: y(x,t)= Asin(kx- ot)2лk2n= 27f; v=-Tv = f2General Constants:-34h = 6.626×10*J.s = 4.13567×10¬eV ·s ; (with recent revisions to the SI system ofunits Planck's Constant is defined to have an exact value: h= 6.62607015×10¯“J·s)–34-19hc = 1240 eV · nm; hc=1239.84eV · nm (for more accuracy); leV =1.6022×10-J= 299,792, 458 m /s (exact);-31electron mass: m, =9.1094×10' kgproton mass: m,=1.6726×10-27 kgPhotons: E = hfhc; Protons: m,c² = 938.3MEV , Electrons: m.c² = 511.0keV%3|h= 1.0546x10 34J•s = 6.5821×10-1eV ·sChapter 36. DiffractionSingle slit diffraction:Minima:a sin 0, = ma, m=1,2,3,...where a is the slit width, note: there is a maximum at0 = 0sin(a)паIntensity:I(0) = ,,a =-sin(0)maCircular aperture: First minimum: sin 0 = 1.22-Rayleigh's criterion ( 1

Name: 6.A spaceship of proper length L, = 54.0 m is moving relative to the
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Description: 6.A spaceship of proper length L, = 54.0 m is moving relative to the Earth in the +xdirection at a constant velocity with a speed parameter ß= 0.9750. (Hint: The proper lengthof an object is measured in the rest frame of that object.) The tip of the

Given Data Length of spaceship is :Lo=54 m speed parameter is: β=0.9750 (a) In earth's frame…

Answered: or f(x+vt) soidal waves: y(x,t) =…

Engineering

Mechanical Engineering

or f(x+vt) soidal waves: y(x,t) = Asin(kx– ot %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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