This image of a roller coaster is designed to show important information about potential and kinetic energy. One of these labeled pieces of information is incorrect. Which information is wrong, and why?

Question

(1 point)
Responses

The roller coaster would only have potential energy at the point labeled “gravitational potential energy and kinetic energy.”
The roller coaster would only have potential energy at the point labeled “gravitational potential energy and kinetic energy.”

The spot with the “maximum kinetic energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.
The spot with the “maximum kinetic energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.

The roller coaster would only have kinetic energy at the point labeled “gravitational potential energy and kinetic energy.”
The roller coaster would only have kinetic energy at the point labeled “gravitational potential energy and kinetic energy.”

The spot marked “maximum gravitational potential energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.
The spot marked “maximum gravitational potential energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.

Answer 1

The incorrect information is:

The spot marked “maximum gravitational potential energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.

Reason: Maximum gravitational potential energy occurs at the highest points of the roller coaster, not at the lowest points. At the lowest point, the potential energy is at its minimum, while the kinetic energy is typically at its maximum due to the roller coaster's speed being highest at that location. Therefore, the label indicating maximum gravitational potential energy should be placed at the highest point of the roller coaster.

Answer 2

then whats the answer

Answer 3

The answer is:

The spot marked “maximum gravitational potential energy” should be on the lowest point of the roller coaster, at the far left side on the bottom.

This statement is incorrect because maximum gravitational potential energy occurs at the highest points of the roller coaster, not at the lowest point.

Answer 4

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 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

dam D: fall height of 100 feet

Answer 5

The dam that would provide the most hydroelectric power is:

dam A: fall height of 175 feet.

Reason: The potential energy available from the water flowing over the dam is determined by two main factors: the volume of water and the height from which it falls. Since all dams have the same volume of water flow, the height of the fall is the critical factor in determining power output. The higher the fall, the more potential energy is converted into kinetic energy, which can then be transformed into electrical energy. Thus, the dam with the highest fall height (175 feet) would generate the most hydroelectric power.

Answer 6

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

Answer 7

The correct response is:

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

Reason: Turbines in hydroelectric dams are located far below the top of the dam so that the water retains its potential energy as it falls. This height difference allows the water to fall and convert its potential energy into kinetic energy, which is then used to turn the turbines and generate electricity. If the turbines were located too high, the water would lose potential energy before reaching them, reducing the energy available for power generation.

Answer 8

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.

Answer 9

At the highest points of the swing (the peak of each arc), the child's potential energy is at a maximum because she is at the greatest height above the ground. Conversely, at the lowest point of the swing (the bottom of the arc), her kinetic energy is at a maximum due to her highest speed at that position.

Answer 10

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.

Answer 11

The kinetic energy of an object is determined by both its mass and the square of its speed, as represented by the formula \( KE = \frac{1}{2} mv^2 \). In this case, the athlete uses a heavier 16-pound shotput for the first throw, which may result in lower speed due to the increased difficulty of accelerating the heavier mass. Although he throws the lighter 12-pound shotput further at 50 feet, it is possible that he achieved a higher speed with the lighter shotput, compensating for the lower mass and allowing it to travel further despite its reduced mass. This demonstrates the trade-off between mass and speed in determining the overall kinetic energy and distance the shotput can be thrown.