Physics 151 - Homework #1 - 10 points possible Instructions: Write your full solutions on separate paper, then scan and upload them in the submission area on Blackboard by the due date listed there. You must show all work to receive credit unless otherwise indicated. Be sure to label all problem numbers and circle your answers. Part 1: Scientific Notation: Convert each of the following into the other two notations. You do not need to show work for this part. Decimal Notation Scientific Notation Metric Prefix Notation 1. 102,000 m 1.02 X 10 2. 13.8 Mm 3. 2370 2.37 x 103 m 4. 0.0 060496 4.96 x 10-5 m 5. 0.900000074 m 7.4 x 108 Part 2: Additional Problems 6. The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this? 7. A certain car has a fuel efficiency of 28.0 miles per gallon (mi/gal). Express this efficiency in kilometers per liter (km/L). 8. Which occupies more volume( 3m3/ or 100 A3? 3 m3 9. A circular disk has a diameter of 11.89 cm. Express the area of the disk in ft2. 10. Which is larger: 65 mph (miles per hour) or 120 kph (kilometers per hour)? As a percentage, how much faster is one than the other? 1 1. A car's speedometer is rated to have a 5% uncertainty. What is the range of possible speeds when it reads 90 mph? 12. A can contains 375 mL of soda. What percentage of the original volume remains if 308 mL is removed? 13. The sides of a small rectangular box are measured to be 1.88 + 0.02 cm, 2.27 + 0.02 cm, and 3.06 + 0.09 cm. Calculate the box's volume and the percent uncertainty of this volume