# Problem: 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 9.6 parsecs.

###### FREE Expert Solution

1 parsec = 3.26 light years

1 light-year = distance travelled by light in 1 year

$\overline{){\mathbf{speed}}{\mathbf{=}}\frac{\mathbf{distance}}{\mathbf{time}}}$

When doing unit conversions:

• Put units you need to cancel out on opposite places (i.e. if it’s in the numerator then put the conversion factor with the same unit in the denominator)

• Always raise the units to the necessary number especially when dealing with volume, area, etc.

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###### Problem Details

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 9.6 parsecs.