hw1 - 1-5 This is a case of dilation. T="#T in this...

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Unformatted text preview: 1-5 This is a case of dilation. T="#T in this problem with the proper time "T =TT=1"vc#$%&’(2)*++,-.."1 2T/vc=1"TT#$%&’(2)*++,-..1 2; in this case T=2T, v=1"L2L#$%&’(2)*+,+-.+/+1 2=1"1412345#$%&’(1 2therefore v=0.866c. 1-6 This is a case of length contraction. L="L #in this problem the proper length "L =L, L=1"v2c2#$%&’("1 2L)v=c1"LL*+,-./2#$%%&’((1 2; in this case L=L2, v=1"L2L#$%&’(2)*+,+-.+/+1 2=1"1412345#$%&’(1 2therefore v=0.866c. 1-7 The problem is solved by using time dilation. This is also a case of v<<cso the binomial expansion is used "t=#" $t %1+v22c2&’()*+" $t , "t# " $t =v2" $t 2C2; v=2C2"t# " $t ( )" $t %&’()*1 2; "t=24 h day( )3600 s h( ) =86 400 s; "t=" #t $1=86 399s; v=2 86400 s"86 399 s( )86 399 s#$%%&’((1 2=0.004 8c=1.44)106m s. 1-8 L="L #1"=L#L =1$v2c2%&’()*1 2v=c1$L#L +,-./2%&’’()**1 2=c1$75100+,-./2%&’’()**1 2=0.661c1-10 (a) ¡=¢£¡where "=vcand "#= 1$%2( )$1 2=#&1$v2c2’()*+,$1 2=2.6-10$8s( )1$0.95( )2[ ]$1 2=8.33-10$8s(b) d=v"=0.95( )3#108( )8.33#108s( ) =24 m1-12 (a) 70 beats/min or ¡ ¢t =170min(b) "t=#" $t =1%0.9( )2[ ]%1 2170&’()*+min=0.032 8 min beator the number of beats per minute "30.5"31. 1-14 (a) Only the x-component of Lcontacts. LLxLyv!L"x =Lcos#$LxLcos#[ ]%L"y =Lsin#$Ly=Lsin#L=Lx( )2+Ly( )2&’()*+1 2=Lcos#%,-....
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This note was uploaded on 12/02/2008 for the course PHYS phys 2d taught by Professor Hirsch during the Fall '08 term at UCSD.

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hw1 - 1-5 This is a case of dilation. T="#T in this...

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