Solutions

SpecialRelativity
Problen I
A Klingon spacecrafthasa speedof 0.75 c with respectto the earth. The Klingons
measure37.0hoursfor the time interval betweentwo eventson the earth. What value for
the time interval would they measureif their ship had a speedof 0.94 c witl respectto
the Earth?
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V = O,r5c
6f
-hv
}lro ol;a}-J
...r"."4
= ll.o hrs
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54 = ).?.5'r",.s
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b'{e
rl =D'q"tc.
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/\t'
6d"= ),{.5 hrs
A€= ?
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At=
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Problem2
(a) A spaceshiptravelstowardthe Earth at a speedof0.97c. The occupantsofthe ship
arestandingwith their torsosparallelto the directionoftravel. Accordingto Earth
observers,they areabout0.50m tall and 0.50 m wide. What arethe occupants'height
andwidth accordingto otherson the spaceship?
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= A" lrn
= O.5Dr)
(b) A rocket of massI .40x I 0' kg hasa relativistic momentumthe magnitudeof which is
3.l5xl0t3 kgr/s. How fastastherockettraveling?
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