Four rivers have the same volume of water flow over time but fall from different heights to power hydroelectric dams. Which dam would provide the most hydroelectric power?(1 point) Responses dam B: fall height of 75 feet dam B: fall height of 75 feet dam D: fall height of 100 feet dam D: fall height of 100 feet dam A: fall height of 175 feet dam A: fall height of 175 feet dam C: fall height of 135 feet dam C: fall height of 135 feet

11 answers

To determine which dam would provide the most hydroelectric power, we need to consider the height from which the water falls (the potential energy) and the volume of water flow (the flow rate).

The potential energy (and thus the power generated) is proportional to both the height of the fall and the volume of water. The formula for gravitational potential energy is:

\[ \text{Potential Energy} = m \times g \times h \]

where:

  • \( m \) is the mass of the water (related to volume and density),
  • \( g \) is the acceleration due to gravity,
  • \( h \) is the height of the fall.

Since all the rivers have the same volume of water flow, the key factor that will influence the amount of hydroelectric power generated is the height of the fall.

Given the heights:

  • Dam A: 175 feet
  • Dam C: 135 feet
  • Dam D: 100 feet
  • Dam B: 75 feet

Dam A has the highest fall height of 175 feet, which means it would generate the most hydroelectric power. Therefore, the answer is:

Dam A: fall height of 175 feet.

Why are the turbines for hydroelectric dams located far below the top of the dam?(1 point) Responses to ensure that the water does not lose too much potential energy before reaching the turbines to ensure that the water does not lose too much potential energy before reaching the turbines to allow the kinetic energy of the water to increase greatly before reaching the turbines to allow the kinetic energy of the water to increase greatly before reaching the turbines to allow the potential energy of the water to increase greatly before reaching the turbines to allow the potential energy of the water to increase greatly before reaching the turbines to ensure that the water does not lose too much kinetic energy before reaching the turbines

The turbines for hydroelectric dams are located far below the top of the dam primarily to ensure that the water does not lose too much potential energy before reaching the turbines.

This is because the potential energy of the water is converted to kinetic energy as it falls. The more height the water has to fall, the more potential energy it retains, which can then be effectively converted into kinetic energy to drive the turbines. By placing the turbines lower down, the turbine system can harness this energy more efficiently, leading to greater power generation.

Thus, the correct response is:

to ensure that the water does not lose too much potential energy before reaching the turbines.

A child is swinging back and forth on a swing. Changes in her kinetic and potential energy are happening each moment. At which point, or multiple points, in her swinging would each of these two types of energy be at a maximum? In one to two sentences, describe these points and which type of energy is at a maximum at each point.(2 points)

In a swing, the potential energy is at a maximum when the child reaches the highest points of the swing (at the extreme ends of the arc), as this is where she has the greatest height relative to the ground. Conversely, the kinetic energy is at a maximum when the child is at the lowest point of the swing (the bottom of the arc), where she is moving at her highest speed.

Make it sound like an 8th grader did and also don't use . and , and make sure everything is lowercase and don't use any big words also make it a short sentence.

the child has the most potential energy at the highest points of the swing when she is up high and the most kinetic energy at the lowest point of the swing when she is going the fastest

An athlete is practicing shotput using a 16-pound shot, and he throws it 40 feet. He then uses a 12-pound shot and throws it 50 feet. In three to four sentences, explain why there is a difference in these throws using the ideas of mass and speed and how each relates to kinetic energy.(4 points)

The difference in the shots thrown is mainly due to their mass and how that affects the athlete's ability to generate speed. The 12-pound shot is lighter, which means it's easier to accelerate and throw faster than the heavier 16-pound shot. Kinetic energy is calculated using both mass and speed, so when the athlete throws the lighter shot at a higher speed, it gains more kinetic energy. Even though the heavier shot is not thrown as far, it still has some kinetic energy due to its mass, but the speed of the lighter shot helps it travel farther.

Make it sound like an 8th grader did and also don't use . and , and make sure everything is lowercase and don't use any big words also make it a short sentence and also use and alot

the athlete can throw the 12-pound shot farther because it is lighter and he can throw it faster and speed makes more kinetic energy and the heavier 16-pound shot doesn't go as far even if it has more mass because it can’t be thrown as fast