12. (I) Write the following as full (decimal) numbers with standard units: (a) 286.6 mm. (b) 85 mV. (c) 760mg. (d) 60.0 ps, (e) 22.5 fm. (f) 2.50 gigavolts. 13. (I) Express the following using the prefixes of Table 1-4: (a) 1 x 10" volts. (b) 2 x 10 meters, (c) 6 X 10' days. (d) 18 x 10 bucks, and (e) 8 x 10 pieces. 14. (1) Determine your own height in meters, and your mass in kg- 15. (I) The Sun. on average, is 93 million miles from Earth. How many meters is this? Express (a) using powers of ten, and (b) using a metric prefix. 16. (II) What is the conversion factor between (a) ft and yd?. (b) m' and ft?? 17. (II) An airplane travels at 950 km/h. How long does it take to travel 1.00 km? 18. (II) A typical atom has a diameter of about 1.0 X 10 m. (a) What is this in inches? (b) Approx- imately how many atoms are there along a 1.0-cm line? 19. (II) Express the following sum with the correct number of significant figures: 1.80m + 142.5 cm + 5.34 x 10 um. 20. (II) Determine the conversion factor between (a) km/h and mi/h. (b) m/s and ft/s, and (c) km/h and m/s. 21. (II) How much longer (percentage) is a one-mile race than a 1500-m race ("the metric mile")? 12. (II) A light-year is the distance light travels in one year (at speed = 2.998 x 10# m/s). (a) How many meters are there in 1.00 light-year? (6) An astronomical unit (AU) is the average distance from the Sun to Earth. 1.50 x 10 km. How many AU are there in 1.00 light- year? (c) What is the speed of light in AU/h?32. (II) The speed, v, of an object is given by the equation D= Ar - Br, where / refers to time. What are the dimensions of A and B? 33. (II) Three students derive the following equations in which r refers to distance traveled, v the speed, a the acceleration (m/s ). and / the time, and the subscript (o) means a quan- tity at time r = 0: (a) x - w + 2ar, (b) x = of + far . and (c) x = the + 2ark. Which of these could possibly be correct according to a dimensional check