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What is given (including units)?

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Presentation on theme: "What is given (including units)?"— Presentation transcript:

1 What is given (including units)?
If a snail moves at cm per second, how fast is the snail in furlongs per fortnight? (1 furlong = 660. feet and 1 fortnight = 14 days) What is given (including units)? 1 furlong = 660. feet 0.234 cm/s 1 fortnight = 14 days What are you asked for (including units)? speed in furlong/fortnight What other information do you know? 60 s = 1 min min = 1 hr hr = 1 day 2.54 cm = 1 in 12 in = 1 ft

2 Where do you start? What is your game plan?
If a snail moves at cm per second, how fast is the snail in furlongs per fortnight? (1 furlong = 660. feet and 1 fortnight = 14 days) Where do you start? What is your game plan?  in  in  ft  furlong  in  ft  min  hr  day  fortnight  min  hr  day  min  min  hr

3 What is given (including units)?
Lake Tahoe is the 2nd deepest lake in the United States and has a volume of 156 km3. The Amazon River is the largest river in the world, with an average flow rate of x106 ft3 per second. At that rate, how many days would it take for the Amazon River to fill Lake Tahoe? What is given (including units)? 2nd deepest 156 km3 (lake) 7.7351x106 ft3/s (river) What are you asked for (including units)? How long to fill in DAYS What other information do you know? 1 km = 1x103 m 1 cm = 1x10-2 m 2.54 cm = 1 in 1 ft = 12 in 60 s = 1 min 60 min = 1 hr 24 hr = 1 day

4 Where do you start? What is your game plan?
Lake Tahoe is the 2nd deepest lake in the United States and has a volume of 156 km3. The Amazon River is the largest river in the world, with an average flow rate of x106 ft3 per second. At that rate, how many days would it take for the Amazon River to fill Lake Tahoe? Where do you start? What is your game plan? 156 km3  m3  cm3  in3  ft3  s  m3  cm3  in3  ft3  s  min  hr  m3  cm3  in3  ft3  m3  cm3  in3  ft3  s  min  m3  cm3  m3  cm3  in3  ft3  s  min  hr  days  m3  m3  cm3  in3

5 What is given (including units)? 4.22 l.yr. 70.2 km/s
Other than our own sun, the closest star to the Earth, Proxima Centauri, is about 4.22 light years away. The fastest man-made spacecraft, the Helios II deep space probe, travels at a speed of 70.2 km/s. If you were on the Helios II, how many years would it take you to get Proxima Centauri? (1 light-year = 5.878x1012 miles, 1 km = mile) What is given (including units)? 4.22 l.yr km/s 1 km = mile 1 light-year = 5.878x1012 mile What are you asked for (including units)? Trip in years What other information do you know? 60 s = 1 min 60 min = 1 hr 24 hr = 1 day 1 yr = 365 days

6 Where do you start? What is your game plan?
Other than our own sun, the closest star to the Earth, Proxima Centauri, is about 4.22 light years away. The fastest man-made spacecraft, the Helios II deep space probe, travels at a speed of 70.2 km/s. If you were on the Helios II, how many years would it take you to get Proxima Centauri? (1 light-year = 5.878x1012 miles, 1 km = mile) Where do you start? What is your game plan? 4.22 l.y.  mi  km  s  min  hr  day  mi  km  s  min  hr  day  yr  mi  km  s  min  hr  mi  km  mi  mi  km  s  mi  km  s  min

7 What is given (including units)? L = 200. mm W = 80.0 mm H = 45.0 mm
The standard London Gold Delivery Bar is 200.mm long, 80.0mm wide and 45.0mm tall. As of March 9, 2009, gold was selling for $ per troy ounce. If gold weighs 19.3 grams per cm3, how much is one London Gold Delivery Bar worth? (1 troy ounce = g) What is given (including units)? L = 200. mm W = 80.0 mm H = 45.0 mm 1 tr. oz. = g $ = tr. oz. density of Au is 19.3g/cm3 What are you asked for (including units)? value of bar in dollars What other information do you know? V = L x W x H 1 cm = 1x10-2 m 1 mm = 1x10-3 m Where do you start? What is your game plan? Find volume of bar  mm3  m3  cm3  g  tr. oz.  mm3  m3  cm3  g  tr. oz.  $  mm3  m3  cm3  g  mm3  m3  cm3  mm3  mm3  m3

8 The standard London Gold Delivery Bar is 200. mm long, 80
The standard London Gold Delivery Bar is 200.mm long, 80.0mm wide and 45.0mm tall. As of March 9, 2009, gold was selling for $ per troy ounce. If gold weighs 19.3 grams per cm3, how much is one London Gold Delivery Bar worth? (1 troy ounce = g) mm3  m3  cm3  g  tr. oz.  $

9 How many kilojoules (kJ) are need to raise the temperature of 48
How many kilojoules (kJ) are need to raise the temperature of g of water by 95 oC if the heat capacity of water is What is given (including units)? g 95 oC What are the units on the answer that you are asked for? kJ What other information do you know? 1 kJ = 1x103 J

10 How many kilojoules (kJ) are need to raise the temperature of 48
How many kilojoules (kJ) are need to raise the temperature of g of water by 95 oC if the heat capacity of water is


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