CHAPTER 1 - 6 - 47....

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47.We will convert all units to meters.  The volume used in one year is V  = [(40,000 persons)/(4 persons/family)](1200 L/family ∙ day)  × (365 days/yr)(10 –3  m 3 /L) = 4.4 × 10 6  m 3 /yr. If we let  d  represent the loss in depth, we have d  =  V /area = (4.4 × 10 6  m 3 /yr)/(50 km 2 )(10 3  m/km) 2  ˜ 0.09 m ˜          9 cm/yr . 48. For the volume of a 1-ton rock, we have  = (2000 lb)/(3)(62 lb/ft 3 ) ˜ 11 ft 3 . If we assume the rock is a sphere, we find the radius from 11 ft 3  =  ) p r 3 ,  which gives  r  ˜ 1.4 ft,  so the diameter would be          ˜ 3 ft ˜ 1 m . 49. We find the amount of water from its volume: m  = (5 km)(8 km)(1.0 cm)(10 5  cm/km) 2 (10 –3  kg/cm 3 )/(10 3  kg/t) = 40 × 10 4  t ˜           4 × 10 5  t . 50. We will use a pencil with a diameter of 5 mm 
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This note was uploaded on 03/08/2010 for the course PHY 7A taught by Professor Zettl during the Fall '08 term at University of California, Berkeley.

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CHAPTER 1 - 6 - 47....

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