c. In frame B, how long does it take for spaceship B to move from the tip of the armada to the tail of the armada? d. In the Earth frame, how long does it take for spaceship B to move from the tip of the armada to the tail of the armada? е. In the Earth frame, how far does spaceship B travel moving from the tip of the armada to the tail?
c. In frame B, how long does it take for spaceship B to move from the tip of the armada to the tail of the armada? d. In the Earth frame, how long does it take for spaceship B to move from the tip of the armada to the tail of the armada? е. In the Earth frame, how far does spaceship B travel moving from the tip of the armada to the tail?
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please answer parts c, d, and e
Transcribed Image Text:7.
An armada of spaceships (at rest in frame A), of proper length L, =1.10ly (ly is a unit
of distance equal to the distance that light travels in a year), is moving in the +x direction at a
speed v = 0.600 c as measured in the Earth frame. A small messenger spaceship B (at rest in
frame B) is sent from the tip of the armada toward the tail of the armada. It's moving in the
opposite direction relative to the armada (-x direction) with u =-0.750c as measured in the
frame of the armada, A. Spaceship B flies by the entire armada from tip to tail.
a. What is the speed of spaceship B relative to the Earth frame, u,
?
b. In frame A, how long does it take for spaceship B to move from the tip of the armada to the
tail of the armada?
In frame B, how long does it take for spaceship B to move from the tip of the armada to the
С.
tail of the armada?
In the Earth frame, how long does it take for spaceship B to move from the tip of the armada
to the tail of the armada?
In the Earth frame, how far does spaceship B travel moving from the tip of the armada to the
d.
е.
tail?
Transcribed Image Text:Waves in general:
FORMULA PAGE 1
a y
1-dimensional wave equation:
1 a'y
; here v is the speed of the wave
v? ôt?
Solution: f(x- vt) or f(x+vt)
Harmonic or sinusoidal waves: y(x,t)= Asin(kx- ot)
2л
k
2n
= 27f; v=-
T
v = f2
General Constants:
-34
h = 6.626×10*J.s = 4.13567×10¬eV ·s ; (with recent revisions to the SI system of
units Planck's Constant is defined to have an exact value: h= 6.62607015×10¯“J·s)
–34
-19
hc = 1240 eV · nm; hc=1239.84eV · nm (for more accuracy); leV =1.6022×10-J
= 299,792, 458 m /s (exact);
-31
electron mass: m, =9.1094×10' kg
proton mass: m,
=1.6726×10-27 kg
Photons: E = hf
hc
; Protons: m,c² = 938.3MEV , Electrons: m.c² = 511.0keV
%3|
h
= 1.0546x10 34J•s = 6.5821×10-1eV ·s
Chapter 36. Diffraction
Single slit diffraction:
Minima:
a sin 0, = ma, m=1,2,3,...where a is the slit width, note: there is a maximum at
0 = 0
sin(a)
па
Intensity:
I(0) = ,,
a =
-sin(0)
m
a
Circular aperture: First minimum: sin 0 = 1.22-
Rayleigh's criterion ( 1 <d ): a =1.22-
d
Double slit experiment with slit separation d and slit width a:
sin a
Intensity: I(0) = I„(cos? B)|
where
B =
-sin 0 , a =
па
-sin O
Grating equation (normal incidence): d sin 0 = m
order in which the grating is being used, d is the line or groove spacing
m
= 0,1, 2,3,... (maxima), where m is the
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