Unit0_assignment (1)

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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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5. The length of a warehouse is measured to be 95.00 m . The height of the roof is measured to be 1,350.00 cm . The width is measured to be 0.0015 km . Calculate the volume of the warehouse in cubic meters ( m^ 3 ). Physics-Problem Solving Entries Key Idea Is to concert all of the measurements to meters since we need to calculate the volume of the warehouse in cubic meters Stock of Data Is to convert cm and km to meters, I need to find the volume in cubic meters The volume is found by multiplying the length width, and the height but the measurements must be the same 2.54cm= 1 inch 12 inc=1 ft 1km=1,000m Solution 1,350.00cm/1 x 1in / 2.45 cm x 1 ft/ 12 in x 1m/3.28ft= 13.50m (0.0015km/1) x 1.5 = 1,923.75 m^3 Sanity Check In this problem I converted the the width in kilo to meters The height into centimeters to inches to feet then that way they could be meters Put the 3 measurements and I multiply them that way I could find the volume =1,923.75 m^3 6 The speed of light is 3 x 10 8 meters per second (m/s). What is the speed of light in miles per year (mi/yr)? Physics-Problem Solving Entries Key Idea Convert m/s to mi/yr Stock of Data Convert meters to feet to miles Convert second to hours to days to a year 1m=3.28ft

5,280ft= 1 mi 3,600s= 1 hr 24hr= 1 day 365 days = 1 year Solution 1 kg = 1000g 0.00345kg x 1000g/1kg = 3.45 1 mg = 0.001g 195mg x/0.001g/ 1mg =0.195g Rock 1=9.60 g Sanity Check 13.2g 7. Convert 10 kg into micrograms. Physics-Problem Solving Entries Key Idea Is to Convert kg into micrograms. Stock of Data 1 kg = 1,000,000 mg 1 mg = 1,000 kg Solution (10 kg / 1) x (1,000,000 mg / 1 kg) x (1,000 pg / 1 mg) = 10,000,000,000 Mg = 10 x 1019 g Sanity Check Dimensional analysis to convert kilograms to milligrams= and then micrograms 10kg= 10 x 10^9 µ m 8. How many days will have elapsed in 6.02 x 10 23 ns?

Physics-Problem Solving Entries Key Idea Is to convert nanoseconds to days. Stock of Data Convert nanoseconds to seconds to hours to days 1,000,000,000 ns = 1 s 3,600 s = 1 hr 24 hr = day Solution (6.02 x 10^23 ns / 1) x (1 s / 1,000,000,000 ns) x (1 hr / 3,600 s) x (1 day / 24 hrs) = 6,967,592,593 days Sanity Check dimensional analysis to convert nanoseconds to seconds to hours then days. 6.02 x 10^23 ns = 6,967,592,593 days 9. A watch loses 1 second every week. How many minutes will the watch be off at the end of 1 year. Physics-Problem Solving Entries Key Idea the watch loses 1 second every week and there are 52 seconds a year it looses 52 seconds a year Stock of Data 52 weeks = 1 yr Watch loses 52 seconds per year Seconds to minutes 60s=1 min Solution 1x 52=52 Looses 52 se per year (52s/1) x ( 1 min/60s) 0.87 min Sanity Check The watch loses 52 s a year and we need to find mins it losses 52 needs to be divided by 60.

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0.87 min 10. Convert 5.0 years into seconds. Physics-Problem Solving Entries Key Idea Convert years to seconds Stock of Data Convert years to days to hours to second 1 year= 365 days 1 day = 24hr 1 hr = 3,600s Solution (5.0 yr/1 ) x (365 days/ 1yr) x 24hrs/ 1 day ) x (3,600s/ 1h)= 157,680,000s Sanity Check Dimensional analysis to convert the years to hours and seconds = 157,680,000s

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