Question

A parsec is an astronomical unit of distance where 1 parsec = 3.26 light years (1 light year equals the distance traveled by light in one year). If the speed of light is 186,000 mi/s, calculate the distance in meters of an object that travels 9.5 parsecs.

Answer 1

Answer:

2932016616×10⁸ m

Explanation:

1 parsec = 3.26 light years

Speed of light = 3×10⁸ m/s

Distance = Speed × Time

Distance traveled by light in one year

3×10⁸×365.25×24×60×60

3.26 light years = 3.26×3×10⁸×365.25×24×60×60 = 308633328 ×10⁸m

⇒ 1 parsec = 308633328 ×10⁸m

9.5 parsecs = 9.5×308633328×10⁸

⇒9.5 parsecs = 2932016616×10⁸ m

Distance in meters of an object that travels 9.5 parsecs is 2932016616×10⁸ m