The speed of supernova debris – about 15 years after Supernova 1987A exploded, its wind was seen hitting a pre-existing ring of gas at a distance of 0.7 light-years from the star that exploded. Calculate the speed of that debris. Give the answer in both light-years per year and km/hr or miles/hr, whichever is more intuitive for you. How does the speed you find compare with the speed of light?

Respuesta :

1. The speed (in light-years per year) of the debris is 4.67×10⁻² light-years / year

2. The speed (in Km/h) of the debris is 50436000 Km/h

3. The speed of light is 21.4 times the speed of the debris

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to determine the speed in light-years per year

  • Distance = 0.7 light-years
  • Time = 15 years
  • Speed = ?

Speed = distance / time

Speed = 0.7 / 15

Speed = 4.67×10⁻² light-years / year

2. How to determine the speed in Km/h

  • Speed (in light-years per year) = 4.67×10⁻² light-years / year
  • Speed (in Km/h) = ?

1 light-years / year = 1.08×10⁹ Km/h

Therefore,

4.67×10⁻² light-years / year = 4.67×10⁻² × 1.08×10⁹

4.67×10⁻² light-years / year = 50436000 Km/h

3. Comparison of the speed of the debris with the speed of light

  • Speed of light = 3×10⁸ m/s
  • Speed of debris = 50436000 Km/h = 50436000 / 3.6 = 14010000 m/s
  • Comparison =?

Comparison = Speed of light / speed of debris

Speed of light / speed of debris = 3×10⁸ / 14010000

Speed of light / speed of debris = 21.4

Cross multiply

Speed of light = 21.4 × Speed of debris

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