Science Workshop #3
Units & Estimation Problems
1) Estimate the number of
people who are born in the world every day. (Hint:
how likely is it that a woman of child-bearing age will give birth in a
given year?)
2) For every gallon of gasoline
burned by a motor vehicle, approximately 20 pounds of carbon dioxide is
released into the atmosphere. Estimate the mass of carbon dioxide emitted
by the vans we drove during last week's field trip.
3) Imagine you are given
one dollar every second. How long would it take you to accumulate one thousand
dollars ($103)? one million dollars ($106)? one billion
dollars ($109)? one trillion dollars ($1012)? Express
these times in the most convenient units applicable, i.e., hours, days,
or years.
4) Express the speed at which
your fingernails grow in miles per hour. (Hint: first
estimate the speed in terms of units such as inches per month)
5) How many cubic feet are
in one cubic mile? (1 mile = 5,280 feet)
6) Mercury is an exceptionally
dense liquid. In metric units, its density is 13 g/mL. How many pounds
would one gallon of mercury weigh? (1 pound = 454
g; 1 gallon = 3.78 L)
7) The annual volume of water that flows through the Columbia River at the Dalles is 133 million acre-feet. The height of Lake Celilo, which was formed by the Dalles dam, is 90 feet above the Columbia just downstream of the dam. Using the relationship, PE = mgh, what is the total potential energy (in joules) that is released in one year by water passing through the dam (g = 9.8 m/sec2)? (Hints: what is the definition of a joule?; 1 m = 3.3 feet; the mass of water can be obtained from its density, 1 kg/L; 1 ft3 = 7.5 gallons)
What is the average power, in watts, that this flow represents? (What is a watt?)
If the hydroelectric power
could be stored, how long would it take to use the energy released in one
year if it were used to light a single 100 watt light bulb?