Question

A 9mm bullet travels at 853 miles per hour. Use a conversion factor for miles to km and dimensional analysis to calculate meters per second. What is the speed of the bullet in meters per second?

Answer 1

The speed of a 9mm bullet traveling at 853 miles per hour is approximately 381.176 meters per second when converted using the appropriate factors.

Step-by-step explanation:

To convert from miles per hour to meters per second, it's important to know the conversion factors. There are 1.60934 kilometers in a mile and 1000 meters in a kilometer. Also, there are 3600 seconds in an hour. First, convert 853 miles to kilometers: 853 miles * 1.60934 km/mile = 1372.24 km. Then convert kilometers to meters: 1372.24 km * 1000 m/km = 1372240 m. Next, convert hours to seconds: 1 hour * 3600 s/hour = 3600 s. Finally, calculate the speed: 1372240 m / 3600 s = 381.176 m/s. Hence, a 9mm bullet traveling at 853 miles per hour is equivalent to approximately 381.176 meters per second.

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