e) Assuming a food consumption per person of 10 MJ per day, how many person-days of food is generated by this field over a year?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please help with E, F and G.

Assume the answer for part B is 352.6m^3

Assume the answer for part C is 2350.67m^2

Assume the answer for part D is 5289 MJ

b) A human can generate power of about 80 W. If one person works to
raise water for 4 hours every day, what is the approximate volume of
water that can be pumped from a 5 meter deep well in a month,
assuming 50% efficiency?
c) The water is to be used to irrigate a field of wheat, which requires a
total of 15 cm depth of water over a three-month growing season. Using
the answer from (b), how much area can be irrigated to a depth of 5 cm
each month?
d) If the yield of wheat is 0.1 kg/m², and the energy equivalent of wheat
is 7.5 MJ/kg, what is the total energy produced by the field of wheat
over a season?
e) Assuming a food consumption per person of 10 MJ per day, how
many person-days of food is generated by this field over a year?
f) Assume the sun shines for 10 hours each day with an average solar
irradiance of 250 W/m², and of course it is the solar energy that has
principally been converted into food energy. Using the numbers in (d)
estimate the efficiency of wheat as a crop in converting solar energy to
food energy: i.e. the ratio of food energy produced to solar energy input.
g) Human labor is to be replaced by solar power for the water pump.
Assume that the solar panel generates an average of 120 W for every
square meter of panel, over an 4-hour period each day. If the farmer can
afford to install 6m² of solar panels, how much larger an area of land can
be irrigated than before? (You may assume that the aquifer is
boundless)
Transcribed Image Text:b) A human can generate power of about 80 W. If one person works to raise water for 4 hours every day, what is the approximate volume of water that can be pumped from a 5 meter deep well in a month, assuming 50% efficiency? c) The water is to be used to irrigate a field of wheat, which requires a total of 15 cm depth of water over a three-month growing season. Using the answer from (b), how much area can be irrigated to a depth of 5 cm each month? d) If the yield of wheat is 0.1 kg/m², and the energy equivalent of wheat is 7.5 MJ/kg, what is the total energy produced by the field of wheat over a season? e) Assuming a food consumption per person of 10 MJ per day, how many person-days of food is generated by this field over a year? f) Assume the sun shines for 10 hours each day with an average solar irradiance of 250 W/m², and of course it is the solar energy that has principally been converted into food energy. Using the numbers in (d) estimate the efficiency of wheat as a crop in converting solar energy to food energy: i.e. the ratio of food energy produced to solar energy input. g) Human labor is to be replaced by solar power for the water pump. Assume that the solar panel generates an average of 120 W for every square meter of panel, over an 4-hour period each day. If the farmer can afford to install 6m² of solar panels, how much larger an area of land can be irrigated than before? (You may assume that the aquifer is boundless)
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