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yaroslaw [1]
4 years ago
6

A town is considering building a biodiesel power plant that would burn biomass to generate electricity. Which of the following c

orrectly lists an advantage and a disadvantage of this project?
A) Advantage: it could help get rid of unwanted waste. Disadvantage: there is no way to use the electricity created.
B) Advantage: it reduces dependence on fossil fuels. Disadvantage: it would emit pollution into the air.

C) Advantage: it is a commonly used energy source. Disadvantage: building the plant would attract new people to the area.

D) Advantage: it would use energy from the sun and wind. Disadvantage: it is a non-renewable source of energy.
Physics
1 answer:
zmey [24]4 years ago
3 0

Answer: it reduces dependence on fossil fuels. Disadvantage: it would emit pollution into the air.

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A radar station detects an airplane approaching directly from the east. At first observation, the range to the plane is 375.0 m
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Answer:

819.78 m

Explanation:

<u>Given:</u>

  • OA = range of initial position of the airplane from the point of observation = 375 m
  • OB = range of the final position of the airplane from the point of observation = 797 m
  • \theta = angle of the initial position vector from the observation point = 43^\circ
  • \alpha = angle of the final position vector from the observation point = 123^\circ
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A diagram has been attached with the solution in order to clearly show the position of the plane.

\vec{OA} = OA\cos \theta \hat{i}+OA \sin \theta \hat{j}\\\Rightarrow \vec{OA} = 375\ m\cos 43^\circ \hat{i}+375\ m\sin 43^\circ \hat{j}\\\Rightarrow \vec{OA} = (274.26\ \hat{i}+255.75\ \hat{j})\ m\\\vec{OB} = OB\cos \alpha \hat{i}+OB \sin \alpha \hat{j}\\\Rightarrow \vec{OB} = 797\ m\cos 123^\circ \hat{i}+797\ m\sin 123^\circ \hat{j}\\\Rightarrow \vec{OB} = (-434.08\ \hat{i}+668.42\ \hat{j})\ m

Displacement vector of the airplane will be the shortest line joining the initial position of the airplane to the final position of the airplane which is given by:

\vec{AB}=\vec{OB}-\vec{OA}\\\Rightarrow \vec{AB} =  (-434.08\ \hat{i}+668.42\ \hat{j})\ m-(274.26\ \hat{i}+255.75\ \hat{j})\ m\\\Rightarrow \vec{AB} =  (-708.34\ \hat{i}+412.67\ \hat{j})\ m

The magnitude of the displacement vector = \sqrt{(-708.34)^2+(412.67)^2}\ m = 819.78\ m

Hence, the magnitude of the displacement of the plane is 819.67 m during the period of observation.

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