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Ana Larrarte PHY 1001 Unit 0 Mathematical Assignment Conversions 1 hour = 3600 seconds 1 mile = 5280 feet 1 yard = 3 feet 1 meter = 3.28 feet 1 km = 0.62 miles 1 light second = 300,000,000 meters 1 kg = 2.2 lbs 1 lb = 0.45 kg 1 quart = 0.946 liters 1 m/s = 2.2 miles/hour 1 foot = 12 inches 1 inch = 2.54 cm = 25.4 mm 1. Convert 60 miles per hour into meters per second. Physics-Problem Solving Entries Key Idea The Key idea is to convert the distance and time. Mi/hr to m/s Stock of Data Is to convert miles per hour to meters per second Convert the miles to feet then feet to meters And to convert hours to seconds 1mi= 5,280ft. 1m=3.28ft and 1h=3,600s Solution (60mi / 1hr) x (5,280ft/ 1 mi) x (1m / 3.28ft) x (1 hr/ 3600s)= (60 x 5,280)/ (3.28x 3600) = 26.83m/s

Sanity Check The time and the distance change from mi/hr to m/s In this problem I used the dimensional analysis to change both distances and the time In this problem I started by changing the miles to feet then to meters and then I change hours to seconds So it is 60mi/hr= 26.83m/s 2. Convert 186,282 miles per second into meters per second. Physics-Problem Solving Entries Key Idea The keys idea is to convert distance miles to meter and the time “seconds” are goin to stay the same Stock of Data Is to convert miles per seconds to meters per second Is to convert miles to feet then feet to meters 1mi= 5,280ft 1m = 3.28 ft Solution (186,282mi/ 1s) x (5,280ft/ 1 mi) x ( 1m/ 3.28 ft) = (186,282 x 5,280)/ 3.28ft = 299,868,585.4 m/s Sanity Check The time is not going to change, only distance changes Distance changes from miles to meters While doing this problem I couldn’t just convert miles to meters, so I started by converting miles to feet and then to meters So 186,282mi/s = 299,868,585.4 m/s 3. Convert 3.0 x 10 -3 µ m to cm . Physics-Problem Solving Entries Key Idea Is to convert micrometers to centimeters Stock of Data Convert micrometers to millimeter to centimeters

1 µ m= 0.001 1mm = 0.1 cm Solution 10^-3=0.001 3.1x0.001= 0.003 µ m 0.003 x 0.001 = 0.000003 mm 0.000003 x 0.1 = 0.000003 cm 0.0000003cm = 3.0 x 10^-7 cm Sanity Check The distance it changes from micrometers to centimeters I started by converting the micrometers to millimeters and then centimeters On this problem I did my answer in scientific notation since it could be easier to like read and understand even for me. 3.0 x 10 ^-3 µ m = 3.0 x 10^-7cm 4. The crew of the Apollo 9 collected moon rocks to bring back to earth. Three of the rocks were massed to be 9.60 g , 0.00345 kg and 195 mg . What was the total mass of these rocks reported in grams. Physics-Problem Solving Entries Key Idea Is to convert all of the masses to grams then add al the mass to find the total mass in grams Stock of Data Convert mass of 2 of the rocks to grams since one is already in grams then add them to find the total mass in grams 1kg=1000g 0.001g = 1 mg Solution 0.00345 x 1,000 = 3.45g 195 x 0.001 = 3.45 g 9.60 g + 3.45g + 0.195g = 13.245g Sanity Check In this problem what I did it was converting kg and mg to gram then added all the masses in grams to get the total mass Total: 9.60 g 0.00345kg, and 195 mg= 13.245g

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