Final answer:
To convert 7100 kilometers per minute to miles per second, we first convert the kilometers to miles, then minutes to seconds, and round to the nearest tenth, which gives an approximate answer of 117.9 miles per second.
Step-by-step explanation:
The question asks to convert a speed from kilometers per minute to miles per second. First, we will convert kilometers to miles using the conversion factor that 1.602 kilometers is equivalent to 1 mile. Next, we will convert minutes to seconds by recognizing that 1 minute is equal to 60 seconds. Performing these conversions:
- Convert the speed from km/min to km/s: 7100 km/min = 7100 km / 60 s
- Now, convert km/s to mi/s using the conversion factor 1.602 km = 1 mi: (7100 / 60) / 1.602
Calculating the value gives us the speed in miles per second, which we then round to the nearest tenth.
7100 km/min = 118.333... km/s (round to the nearest tenth)
= 73.884 mi/s
Hence, the closest answer rounded to the nearest tenth would be:
117.9 m/s.