Final answer:
The speed of light given as 3.00 x 10±⁰ cm/sec is equivalent to 1.08 x 10⁷ km/hr, after converting centimeters to kilometers and seconds to hours.
Step-by-step explanation:
The student is asking to convert the speed of light from centimeters per second to kilometers per hour. To complete this conversion, we need to use unit conversion factors that will allow us to change from 'cm' to 'km' and from 'seconds' to 'hours.'
Given that the speed of light is 3.00 x 10±⁰ cm/sec, the first step is to convert 'cm' to 'km' knowing that 100,000 cm equals 1 km:
- 3.00 x 10±⁰ cm/s * 1 km / 100,000 cm = 3.00 x 10³ km/s.
- The next step is to convert 'seconds' to 'hours.' We know there are 3,600 seconds in one hour:
- 3.00 x 10³ km/s * 3,600 s/hr = 1.08 x 10⁷ km/hr.
Therefore, the speed of light is 1.08 x 10⁷ km/hr when converted from centimeters per second.