Solution_Set_08 - SOLUTION SET 8 Physics 2022 Spring 2008...

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SOLUTION SET 8 Physics 2022 – Spring 2008 1. Convert parsecs to light years d = 2000 pc x 3.26 ly/pc = 6520 ly The supernova was observed in AD 1054. The light began its journey 6520 years before, so the explosion happened in AD 1054 6520 = 5466 BC 2. time = 2008 1054 = 954 years ( x 60 x 60 x 24 x 365.25 ) = 3.0 x 10 10 s radius = velocity x time = 1450 km/s x (3.0 x 10 10 s) = 4.35 x 10 13 km = 2.90 x 10 5 AU = 1.4 pc = 4.6 ly diameter = 9.2 ly 3. The pulsar’s signal is Doppler shifted by an amount Δλ = λ o ( v / c) Correspondingly, Δ P = P o ( v / c ) Δ P = (30 km/s / 300,000 km/s ) P o = 10 -4 P o The effect is greatest on the ecliptic, because then the largest component of the Earth’s orbital motion is directed toward or away from the pulsar. 4. For a neutron ρ = M / (4/3 π R 3 ) = 1.7 x 10 -27 kg / (4/3 π (10 -15 m) 3 ) = 4.1 x 10 17 kg/m 3 For a neutron star ( M = 1.4 solar masses; R = 9.7 km ) ρ = M / (4/3 π R 3 ) = 1.4 x 2.0 x 10 30 kg / (4/3 π (9,700 m) 3 ) = 7.3 x 10 17 kg/m 3
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5a. λ
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This note was uploaded on 04/30/2008 for the course PHYSICS 2022 taught by Professor Sowell during the Spring '08 term at Georgia Institute of Technology.

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Solution_Set_08 - SOLUTION SET 8 Physics 2022 Spring 2008...

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