Suzie the slug is travelling at a speed of 0.45 millimeters per hour. Calculate her speed in meters per second and feet per minute. You must show your work and you may only use the following conversion factors: 1 hr 60 min, 1 min =1 m, 1000 m 1 km, 2.54 cm 1 inch, 12 inches 1 ft. 60 sec, 1000 mm 1 m, 100 cm
The answer I got is 2.46 x 10^-5 feet/min. Am I correct?
0.45 mm/hr * 1m/1000mm * 1hr/3600s = 1.25 * 10^-7 m/s
0.45 mm/hr * 1in/25.4mm * 1ft/12in * 1hr/60min = 2.46 * 10^-5 ft/min
I never took a chemistry course like this.
To calculate Suzie's speed in meters per second and feet per minute, we need to convert her speed from millimeters per hour to the desired units.
Given conversion factors:
1 hr = 60 min
1 min = 1 m
1000 m = 1 km
2.54 cm = 1 inch
12 inches = 1 ft
60 sec
1000 mm = 1 m
100 cm
First, let's convert her speed from millimeters per hour to meters per second:
Step 1: Convert millimeters to meters:
0.45 mm per hour * (1 m / 1000 mm) = 0.00045 m per hour
Step 2: Convert hours to seconds:
0.00045 m per hour * (1 hour / 3600 seconds) = 1.25 x 10^-7 m per second
So, Suzie's speed is approximately 1.25 x 10^-7 meters per second.
Next, let's convert her speed from meters per second to feet per minute:
Step 1: Convert meters to feet:
1.25 x 10^-7 m per second * (100 cm / 2.54 cm) * (1 inch / 12 inches) * (1 ft / 12 inches) = 4.101 x 10^-6 ft per second
Step 2: Convert seconds to minutes:
4.101 x 10^-6 ft per second * (60 seconds / 1 minute) = 2.461 x 10^-4 ft per minute
So, Suzie's speed is approximately 2.461 x 10^-4 feet per minute.
Based on the calculations, your answer of 2.46 x 10^-5 feet per minute is incorrect. The correct answer is 2.461 x 10^-4 feet per minute.