An image of a roller coaster is shown below.

At which position will the roller coaster have the greatest amount of potential energy?
A.
A

B.
B

C.
C

D.

B

how do you know

I apologize for the confusion. Without any further context or information, it is not possible to determine which position will have the greatest amount of potential energy. The potential energy of the roller coaster will depend on factors such as its height, mass, and the gravitational field strength at each position. Additional information would be needed to determine the position with the greatest potential energy.

An object falls freely near Earth's surface. Which graph best represents the relationship between the object's kinetic energy and time elapsed during its fall?

The graph representing the relationship between the object's kinetic energy and time elapsed during its fall would be a linear graph where the kinetic energy increases as time elapses. The equation for kinetic energy is KE = 0.5 * mass * velocity^2. As the object falls freely near Earth's surface, its velocity will increase due to the acceleration due to gravity, resulting in an increase in kinetic energy. Therefore, the correct graph would show a positive linear relationship, with kinetic energy increasing over time.

describe what it would look like

The graph representing the relationship between the object's kinetic energy and time elapsed during its fall would have a positive slope, indicating an increase in kinetic energy as time progresses. The x-axis would represent time elapsed since the object started falling, while the y-axis would represent the kinetic energy of the object.

Initially, when the object starts falling, the kinetic energy would be zero as it has not gained any velocity yet. As time elapses and the object accelerates due to gravity, the kinetic energy gradually increases. The graph would show a steady and linear increase as the object falls faster and gains more kinetic energy.

It is important to note that the exact shape and slope of the graph would depend on factors like the mass of the object, air resistance, and the specifics of the fall. However, in a simplified scenario where the object falls freely near Earth's surface, the graph would generally show a positive linear relationship, with the kinetic energy increasing as time elapses.

The picture below shows Peggy's new racetrack. It has different starting positions and an upside-down loop for cars to go through. She has 3 cars that she wants to try on the track: a sports car, a truck, and a jeep.

Peggy knows that height can change how fast a car will go. Which experiment will help Peggy choose the starting position that allows every car to complete the loop?
A.
an experiment where Peggy drops each car from different starting heights multiple times and records which heights allow all three cars to complete the loop every time

B.
an experiment where Peggy drops each car from the same starting height and measures the amount of time it takes each car to complete the loop

C.
an experiment where Peggy drops each car from different starting heights multiple times and measures how far each car goes on the course after completing the loop

D.
an experiment where Peggy drops each car from the same starting height and records which cars complete the loop from that height

A.

an experiment where Peggy drops each car from different starting heights multiple times and records which heights allow all three cars to complete the loop every time

This experiment will help Peggy choose the starting position that allows every car to complete the loop because by varying the starting heights, Peggy can observe which height allows all three cars to successfully complete the loop every time. This will indicate the minimum height required for each car to have sufficient velocity to complete the loop without any issues.

Students are investigating energy transfer in the laboratory. The students use rubber bands and rulers for their investigation. They attach a rubber band to each ruler, pull the band back, and allow the band to launch from the ruler. The diagram shows their set up.

The results of their investigation are shown.

Ruler Distance Band Is Pulled Back
(centimeters) Distance Band Travels (centimeters)
1 5 61
2 10 122
3 15 213
4 20 366
Which statement best describes the results of their investigation?
A.
The more potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

B.
The less potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

C.
The more kinetic energy the band has, the more potential energy is transferred, and the farther the band travels.

D.
The less kinetic energy the band has, the more potential energy is transferred, and the farther the band travels.