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olchik [2.2K]
3 years ago
9

A dam generating electricity from water flowing downhill is an example of how systems

Physics
2 answers:
Snowcat [4.5K]3 years ago
6 0
<span>The generation of electricity is done through the concert of energy conversion. A dam generating electricity from water flowing downhill is an example of how systems take advantage of energy flowing from high to low. Turbines play a huge part in generating electric power after the water passes through the spinning turbines and this water is left back to the river.</span>
Jlenok [28]3 years ago
5 0

Answer:

The answer is the dam generates electricity taking advantage of energy flowing from high to low.

Explanation:

Basically, what the dam does is to store gravitational potential energy and converts it to kinetic energy. This conversion can be made since the water at one side is higher that the other side of the dam, therefore the higher side stores the potential energy and when it goes to the other side, the energy stored is converted to kinetic energy, which turn turbines generating electricity.

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1) Find the voltage on a circuit with a resistance of 12.5 Ω if it has a current of 2.35 A.
KengaRu [80]

1. The voltage on the circuit with a resistance of 12.5 Ω and current of 2.35 A is 29.4 V.

2.The resistance in the circuit is found to be 1.45 Ω.

3. The equivalent resistance of the resistors connected in series is 24 Ω.

4. The equivalent resistance of the resistors connected in parallel is 2.18Ω.

5. The power generated is 552.5 W.

6. The frequency of the green light is 0.56×10¹⁵ Hz.

Explanation:

1) This problem can be solved using Ohm's law. Here the resistance (R) of the circuit is given to be 12.5 Ω and the current (I) is stated to be 2.35 A. So the ohm's law states that in a closed circuit, the voltage will be directly proportional to the current flowing in the circuit and the resistance will act as the proportionality constant.

V = I * R = 2.35*12.5 = 29.4 V

So, the voltage on the circuit with a resistance of 12.5 Ω and current of 2.35 A is 29.4 V.

2) Using the same Ohms' law, now we have to determine the resistance. So in this case, the voltage is given as 9 V and the current is said to be 6.2 A, then resistance can be determined as the ratio of voltage to current.

R = \frac{V}{I} =\frac{9}{6.2} =1.45 Ohms

So, the resistance in the circuit is found to be 1.45 Ω.

3) Here, the resistances of three resistors are given as 4 Ω, 8 Ω and 12 Ω. And it is stated that the resistances are connected or wired in series. Then the equivalent resistance will be obtained by the sum of resistances of three resistors, as the current flow will be constant in all the three resistors.

R_{s} = R_{1} + R_{2} + R_{3}  \\  \\R_{s} = 4+8+12 = 24 ohms

Thus, the equivalent resistance of the resistors connected in series is 24 Ω.

4) Now, if the resistors are connected in parallel, then the equivalent resistance will be ratio of product of resistances to the sum of the resistances.

\frac{1}{R_{p} }= \frac{1}{R_{1} } + \frac{1}{R_{2} } +\frac{1}{R_{3} }\\\\\frac{1}{R_{p} }=\frac{1}{4}+ \frac{1}{8} +\frac{1}{12} = \frac{6+3+2}{24}  =\frac{11}{24} \\\\R_{p} = \frac{24}{11 } =2.18 Ohm

Thus, the equivalent resistance of the resistors connected in parallel is 2.18Ω.

5) Power generated by the person can be obtained by the ratio of work done by the person to the time in which the work is done. So the work done can be obtained by the product of force with displacement.

As here the weight lifted by the person will act as dominant force on the person. So the force is considered as F = 956 N and the displacement is d = 2.41 m, then

Work done = Force * displacement = 956*2.41 =2303.96 J

So, the work done is obtained as 2303.96 J and the time is given as 4.17 s, then

Power = \frac{Work done}{Time} =\frac{2303.96}{4.17} =552.5 W

So, the power generated is 552.5 W.

6) In this, the wavelength of green light is given as 5.34 × 10⁻⁷ m. It is known that the wavelength is inversely proportional to the frequency.

Wavelength = \frac{Speed of light}{Frequency}

As, speed of light is known as 3×10⁸ m/s, the frequency will be determined as the ratio of speed of light to wavelength.

Frequency = \frac{Speed of light}{Wavelength} =\frac{3*10^{8} }{5.34*10^{-7} } \\\\Frequency =0.56*10^{15} Hz

Thus, the frequency of the green light is 0.56×10¹⁵ Hz.

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-- The temperature of the aluminum will fall and the temperature of the water will rise.

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-- The final "equilibrium" temperature will be a little less than 40°C (the average of 60° and 20°), because the specific heat of the aluminum is about 8% less than the specific heat of the water.  So when some quantity of heat flows from the aluminum to the water, the temperature of the water rises a little less than the temperature of the aluminum falls.
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