5
Homework #7
• Q 5  We see the Crab Nebula is about 1.35 parsecs in radius and is expanding at a rate of 1400 km/s. Estimate when would the supernova have exploded?
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•d. 920 years ago.  
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•Time = distance/rate = 1400 km/s x 1.35 pc.  Must convert parsecs to km using 1 pc = 3.1 x 1016 m = 3.1 x1013 km, so we get 4x1013 km, which we can now divide by 1400 to get the answer in seconds:  2.9x1010 s, which must be converted to years (3.1x107 seconds per year), which gives us 920 years.