CHAPTER 1 - 3

# CHAPTER 1 - 3 - 21(a 1km/h=(1km/h(0.621mi(1km]=0.621mi/h(b...

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21. ( a ) 1 km/h = (1 km/h)[(0.621 mi)/(1 km)] =       0.621 mi/h . ( b ) 1 m/s = (1 m/s)[(1 ft)/(0.305 m)] =       3.28 ft/s . ( c ) 1 km/h = (1 km/h)[(1000 m)/(1 km)][(1 h)/(3600 s)] =       0.278 m/s . A useful alternative is 1 km/h = (1 km/h)[(1 h)/(3.600 ks)] = 0.278 m/s. 22. For the length of a one-mile race in m, we have 1 mi = (1 mi)[(1610 m)/(1 mi)] = 1610 m; so the difference is 110 m. The % difference is % difference = [(110 m)/(1500 m)] 100 =        7.3% . 23. ( a ) 1.00 ly = (2.998 × 10 8  m/s)(1.00 yr)[(365.25 days)/(1 yr)][(24 h)/(1 day)][(3600 s)/(1 h)]  =         9.46 × 10 15  m . ( b ) 1.00 ly = (9.46 × 10 15  m)[(1 AU)/(1.50 × 10 8  km)][(1 km)/(1000 m)] =         6.31 × 10 4  AU . ( c ) speed of light = (2.998 × 10 8  m/s)[(1 AU)/(1.50 × 10 8  km)][(1 km)/(1000 m)][(3600 s)/(1 h)]  =         7.20 AU/h . 24. For the surface area of a sphere, we have

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CHAPTER 1 - 3 - 21(a 1km/h=(1km/h(0.621mi(1km]=0.621mi/h(b...

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