Answer:
1. 0.574 kJ/kg
2. 315.7 MW
Explanation:
1. The mechanical energy per unit mass of the river is given by:
![E_{m} = E_{k} + E_{p}](https://tex.z-dn.net/?f=%20E_%7Bm%7D%20%3D%20E_%7Bk%7D%20%2B%20E_%7Bp%7D%20)
![E_{m} = \frac{1}{2}v^{2} + gh](https://tex.z-dn.net/?f=%20E_%7Bm%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7Dv%5E%7B2%7D%20%2B%20gh%20)
Where:
Ek is the kinetic energy
Ep is the potential energy
v is the speed of the river = 3 m/s
g is the gravity = 9.81 m/s²
h is the height = 58 m
![E_{m} = \frac{1}{2}(3 m/s)^{2} + 9.81 m/s^{2}*58 m = 0.574 kJ/Kg](https://tex.z-dn.net/?f=%20E_%7Bm%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283%20m%2Fs%29%5E%7B2%7D%20%2B%209.81%20m%2Fs%5E%7B2%7D%2A58%20m%20%3D%200.574%20kJ%2FKg%20)
Hence, the total mechanical energy of the river is 0.574 kJ/kg.
2. The power generation potential on the river is:
![P = m(t)E_{m} = \rho*V(t)*E_{m} = 1000 kg/m^{3}*550 m^{3}/s*0.574 kJ/kg = 315.7 MW](https://tex.z-dn.net/?f=%20P%20%3D%20m%28t%29E_%7Bm%7D%20%3D%20%5Crho%2AV%28t%29%2AE_%7Bm%7D%20%3D%201000%20kg%2Fm%5E%7B3%7D%2A550%20m%5E%7B3%7D%2Fs%2A0.574%20kJ%2Fkg%20%3D%20315.7%20MW%20)
Therefore, the power generation potential of the entire river is 315.7 MW.
I hope it helps you!
Directly proportional to pressure
I believe the answer is D. The milky way is a spiral galaxy, You can tell just by looking at it.
Answer:
420J
Explanation:
Power is the time rate of change in energy. Power is the ratio of energy to time. The S.I unit of power is in watts.
Given that the flash lasts for 1/675 s, power output is 2.7 * 10⁵ W. Hence:
Power = Energy / time
Substituting:
2.7 * 10⁵ W = Energy / (1/675)
Energy = 2.7 * 10⁵ W * 1/675 = 400J
Therefore the energy emitted as light is 400J.
Since the conversion of electric energy to light is 95% efficient, hence the energy stored as electrical energy is:
Energy(capacitor) = 5% of 400J + 400J = 0.05*400 + 400
Energy(capacitor) = 420J
The speed increases, because as the angle increases (the wing slants up more steeply), the air has to go farther to get over the wing.