### 3. Increasing the mass of the skater increases the total amount of energy due to the conservation of energy principle. More mass means more potential energy, which is converted to kinetic energy as the skater descends.

Question

### 4. Increasing the height of the ramp to 12 meters increases both the potential and kinetic energy. Potential energy increases with height, and as the skater descends, potential energy is converted to kinetic energy.
### 5. Placing the skateboarder at the 6 meters mark and letting the investigation play out shows that the skateboarder will descend, converting potential energy to kinetic energy, and then back to potential energy at the bottom.8

Answer 1

3. Increasing the mass of the skater increases the total amount of mechanical energy in the system, as potential energy is directly related to mass. When a skater is at a height, the potential energy (PE) can be calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is the height. As the skater descends, this potential energy is converted into kinetic energy (KE), which is given by the formula KE = 1/2 mv². Thus, a greater mass results in a greater amount of energy that can be converted and transferred during the skater's descent.

4. Increasing the height of the ramp to 12 meters results in a significant increase in potential energy. The potential energy at the top can be calculated using the same formula: PE = mgh. As the skater moves down the ramp, the stored potential energy is converted into kinetic energy. The higher the ramp, the more gravitational potential energy is available to be transformed into kinetic energy, ultimately allowing for a higher speed at the bottom of the ramp.

5. When the skateboarder is placed at the 6-meter mark on the ramp, they will experience an initial potential energy that can be calculated with PE = mgh using h = 6 meters. As the skateboarder descends, this potential energy is transformed into kinetic energy. If the skater reaches the bottom of the ramp, the kinetic energy will be maximized, demonstrating the conversion of energy as they move back up if there is enough height. Upon reaching the lowest point, all potential energy is converted to kinetic energy, illustrating the principle of conservation of energy where energy moves between potential and kinetic forms without loss in an ideal system.

Answer 2

# Explanation:
## Step 1: Identify the energy type at its highest
### When the Blue Item is raised to \(90^{\circ}\), it has the highest potential energy.
## Step 2: Describe the energy of the Blue Item as it gains height
### As the Blue Item gains height, its potential energy increases while its kinetic energy decreases.
## Step 3: Explain why the Fenduim would stop in the Real World
### In the Real World, a Fenduim would eventually stop due to air resistance and friction.

# Answer:
### 6. The energy type at its highest is potential energy.
### 7. When the Blue Item has reached its highest potential energy, it is at its highest point. As it gains height, its potential energy increases while its kinetic energy decreases.
### 8. In the Real World, a Fenduim would eventually stop due to air resistance and friction.

Answer 3

6. The energy type at its highest is potential energy. At the maximum height, the Blue Item possesses the greatest potential energy because it is at a position where it can fall back down under the influence of gravity.

7. When the Blue Item has reached its highest potential energy, it is at its peak position. As it gains height, the potential energy continues to increase, which is calculated using the formula PE = mgh (where m is mass, g is the acceleration due to gravity, and h is height). Conversely, as the Blue Item ascends, its kinetic energy decreases, since kinetic energy is related to the speed of the object (KE = 1/2 mv²). At the highest point, the speed is momentarily zero, resulting in the maximum potential energy and minimum kinetic energy.

8. In the Real World, a Fenduim would eventually stop due to air resistance and friction. These forces act against the motion of the Fenduim, converting mechanical energy into thermal energy and sound, which dissipates energy and contributes to a decrease in the system’s total kinetic energy. Consequently, the Fenduim would slow down and come to a stop after some time instead of continuing indefinitely.