Question

convert a distance of 6.05 × 1011 meters to light-minutes. (in other words, convert the given distance to units of distance equal to the distance light travels in one minute.)

Answer 1

The distance of 6.05 × 10^11 meters is equivalent to approximately 33.61 light-minutes, calculated by dividing the distance by the distance light travels in one minute at the speed of light (3 × 10^8 m/s).

Step-by-step explanation:

To convert a distance of 6.05 × 1011 meters to light-minutes, we first need to know the speed of light. As given, the speed of light (c) is 3 × 108 m/s. This means in one second, light travels 3 × 108 meters. Since there are 60 seconds in one minute, light travels:

• 3 × 108 m/s × 60 s/min = 1.8 × 1010 m/min.

Now, we can convert the given distance into light-minutes by dividing the distance by the distance light travels in one minute:

• 6.05 × 1011 m ÷ 1.8 × 1010 m/min = 33.61 light-minutes

Therefore, 6.05 × 1011 meters is equivalent to approximately 33.61 light-minutes.