Answer:
E.year₂ > E.year₁ (Second site is better)
Explanation:
Given data
![V_{1}=7 m/s\\Time_{1}=3000 hours/year\\V_{2}=10m/s\\Time_{2}=1500hours/year](https://tex.z-dn.net/?f=V_%7B1%7D%3D7%20m%2Fs%5C%5CTime_%7B1%7D%3D3000%20hours%2Fyear%5C%5CV_%7B2%7D%3D10m%2Fs%5C%5CTime_%7B2%7D%3D1500hours%2Fyear)
The power generation is the time rate of kinetic energy which can be calculated as:
Power=ΔKE=m×V²/2
Regarding that m ∝ V.Then
Power ∝ V³ ⇒ Power=constant×V³
Since ρa is constant for both sides and Area is the same as same wind turbine is used
For First site
![Power_{1}=const.V^3\\Power_{1}=const.(7m/s)^3\\Power_{1}=const.343Watt\\](https://tex.z-dn.net/?f=Power_%7B1%7D%3Dconst.V%5E3%5C%5CPower_%7B1%7D%3Dconst.%287m%2Fs%29%5E3%5C%5CPower_%7B1%7D%3Dconst.343Watt%5C%5C)
For second site
![Power_{2}=const.V_{2}^3\\Power_{2}=const.(10m/s)^3\\Power_{2}=const.1000W](https://tex.z-dn.net/?f=Power_%7B2%7D%3Dconst.V_%7B2%7D%5E3%5C%5CPower_%7B2%7D%3Dconst.%2810m%2Fs%29%5E3%5C%5CPower_%7B2%7D%3Dconst.1000W)
Calculating energy generation per year for each of two sites
E.year=Power×Operation time per year
For First site
E.year₁=Power₁×Operation time₁ per year
![E_{year1}=const.*343W*3000\\E_{year1}=const.1029000(W.hour/year)](https://tex.z-dn.net/?f=E_%7Byear1%7D%3Dconst.%2A343W%2A3000%5C%5CE_%7Byear1%7D%3Dconst.1029000%28W.hour%2Fyear%29)
For Second site
E.year₂=Power₂×Operation time₂ per year
![E_{year2}=const.*1000W*1500\\E_{year2}=const.1500000(W.hour/year)](https://tex.z-dn.net/?f=E_%7Byear2%7D%3Dconst.%2A1000W%2A1500%5C%5CE_%7Byear2%7D%3Dconst.1500000%28W.hour%2Fyear%29)
So
E.year₂ > E.year₁ (Second site is better)
Answer:
Explanation:
The resultant velocity of the motorboat due to the current perpendicular to the motion of the boat can be calculated by drawing a triangle to represent this motion. The velocity of the motorboat is the base whereas the velocity of the river is the perpendicular of the triangle (picture attached).
The angle is
(perpendicular/base);
(5/20)= 14.0;
The triangle can be enlarged such that the perpendicular now represents the width of the river and the perpendicular represents the distance between the dock and landing place.
The distance between dock and landing place is:
a) base*Tan(∅) = 2*Tan(14) = 0.5km
b Time = 2/20= 0.1 hours. This is because the horizontal component of the motion due to velocity of motor boat will be considered for horizontal distance of 2 km.
Answer:
the same time
Explanation:
since the speed of light is very fast (3×10^8 ms^-1) the difference in time arrived from firecrackers A and B to Bob is negligible, and our brain can distinguish such small time difference,l.
Answer:
Explanation:when a tape is moved past a small coil of wire due to a non uniform field,the voltage is induced in the coil. A practical example of this is a tape recorder in which a moving tape produces sound energy..