Respuesta :
The time it will take for the shock wave in years to sweep through the cloud is 3.2075 x 10⁷ years.
What is Velocity?
Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard.
As it is known that one parsec is equal to 3.086×10¹⁶ meters. Therefore, the diameter of the molecular cloud is,
Diameter of the molecule = 59 pc
= 59 × 3.086×10¹⁶ meters
= 1.82074 × 10¹⁸ meters
= 1.82074 × 10¹⁵ kilometres
Given that the shock wave sweeps through at 18 km/s. And as it is known that velocity is the ratio of distance and time. Therefore, the time it will take for the shock wave to sweep through the molecule cloud is,
Velocity = Distance / Time
18 km/s = 1.82074 × 10¹⁵ km / Time
Time = 1.82074 × 10¹⁵ km / 18 km/s
t = 1.01152x10¹⁴ seconds
Since one year is equal to 31,536,000 seconds, therefore, the time in years is equal to,
t = 1.01152x10¹⁵ seconds / 31,536,000 seconds per year
t = 32,075,088.79 years
t = 3.2075 x 10⁷ years
Hence, the time it will take for the shock wave in years to sweep through the cloud is 3.2075 x 10⁷ years.
Learn more about Velocity here:
https://brainly.com/question/18084516
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