g During a 12 hour period, a tree lifts 50 kg of water a distance of 5 m from its roots to its leaves. FindA) the amount of work done by the tree andB) the amount of power required for this process. C) If the tree's power could be harnessed to run electric appliances, how many trees would it take to power a house that uses 30 kWh in that same 12 hour period

Question

Gordon

Physics

18 August, 10:23

g During a 12 hour period, a tree lifts 50 kg of water a distance of 5 m from its roots to its leaves. FindA) the amount of work done by the tree andB) the amount of power required for this process. C) If the tree's power could be harnessed to run electric appliances, how many trees would it take to power a house that uses 30 kWh in that same 12 hour period

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Answers (1)

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Corbin Vasquez · Answer 1

A) 2452.5 b) 0.057W c) 43860 approx number of trees

Explanation:

The tree is working against gravity.

Work done by the tree = weight of water * distance the water was carried to = m (mass of water in kg) * acceleration due to gravity (m/s^2) * distance in meters

Work done = 50kg * 9.81 * 5 = 2452.5 joules

B) power = work done / time = energy used by the tree / time taken

Power = 2452.5 / (12*60*60) = 2452.5 / 43200 = / s = 0.057W

C) the amount of power needed by the house = 30kwh/12hr = 2.5kW (2500W

Using simple proportion;

One tree generates 0.057

Then number of trees needed to generate 2500W = 2500W/0.057W = 43860 approx number of trees