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A student is testing how mass impacts kinetic energy. The student has two balls that have the same diameter but different masses. In other words, the balls are the same size, but one of them has more mass than the other. After getting permission from the lifeguard, the student climbs to the top of the high-dive platform above the local swimming pool, taking the two balls with her. She holds the balls over the edge and drops them at the same time from the same height. a. How would the splashes of the two balls compare?

11 answers

When the student drops both balls from the same height, they will fall under the influence of gravity, which accelerates them at the same rate regardless of their mass. According to the principles of physics, specifically Newton's second law, the acceleration due to gravity is constant (approximately 9.81 m/s² near the Earth's surface) for all objects, regardless of their mass.

As a result, both balls will hit the water at the same time and with the same velocity (assuming air resistance is negligible). When they impact the water, the amount of splash generated primarily depends on their velocity at the moment of impact and their surface area in contact with the water.

Since both balls have the same diameter, the surface area in contact with the water will be the same, and they will both enter the water at the same velocity. Therefore, the splashes produced by the two balls will be similar in height and shape upon impact, even though one ball has more mass than the other.

In conclusion, the splashes of the two balls will be comparable, and they will produce similar-sized splashes when they hit the water.

A student is testing how mass impacts kinetic energy. The student has two balls that have the same diameter but different masses. In other words, the balls are the same size, but one of them has more mass than the other. After getting permission from the lifeguard, the student climbs to the top of the high-dive platform above the local swimming pool, taking the two balls with her. She holds the balls over the edge and drops them at the same time from the same height. a. How would the splashes of the two balls compare? (1 point) Responses The size of the splash is independent of the mass of the ball. The size of the splash is independent of the mass of the ball. The ball with the lower mass would make a bigger splash. The ball with the lower mass would make a bigger splash. The balls would make splashes of the same size. The balls would make splashes of the same size. The ball with the higher mass would make a bigger splash. The ball with the higher mass would make a bigger splash. Question 2 b. How does the mass of a falling object impact the object's kinetic energy?(1 point) Responses Mass does not impact kinetic energy. Mass does not impact kinetic energy. A decrease in mass causes an increase in kinetic energy. A decrease in mass causes an increase in kinetic energy. An increase in mass causes a decrease in kinetic energy. An increase in mass causes a decrease in kinetic energy. An increase in mass causes an increase in kinetic energy. An increase in mass causes an increase in kinetic energy. Question 3 c. What happens to the kinetic energy of a ball when it hits the water?(1 point) Responses Some of the energy is transferred to the water. Some of the energy is transferred to the water. All of the kinetic energy is kept by the ball. All of the kinetic energy is kept by the ball. Overall, kinetic energy is gained. Overall, kinetic energy is gained. Overall, kinetic energy is lost.

Here are the answers to each of your questions based on the principles of physics:

Question 1: a. How would the splashes of the two balls compare?
Response: The size of the splash is independent of the mass of the ball.
Both balls will create similar-sized splashes upon impact with the water since they have the same diameter and drop from the same height, leading to similar velocities at the moment of impact.

Question 2: b. How does the mass of a falling object impact the object's kinetic energy?
Response: An increase in mass causes an increase in kinetic energy.
The kinetic energy (KE) of an object is given by the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is mass and \( v \) is velocity. Since velocity is the same for both balls when dropped from the same height, the ball with a greater mass will have greater kinetic energy.

Question 3: c. What happens to the kinetic energy of a ball when it hits the water?
Response: Some of the energy is transferred to the water.
When the ball hits the water, some of its kinetic energy is transferred to the water and converted into other forms of energy (such as sound and heat), resulting in a loss of kinetic energy for the ball itself.

Feel free to ask if you have any more questions!

Isaac Newton was a scientist and mathematician who lived in England in the 1600s-1700s. Sometimes, cartoons will depict Isaac Newton as a scientist who was hit in the head by a falling apple and "discovered" gravity. That's not entirely accurate, but there is a bit of truth to the legend. When Newton was a young man, he spent time living away at a school called the University of Cambridge. However, when the bubonic plague caused an epidemic in 1665, the school was temporarily closed, and Newton and his classmates were sent home. While he was at home, he was on property near his family's house when he noticed an apple that was falling from a tree. He wondered why apples always fall straight to the ground instead of falling sideways or even falling upward. When school reopened, he went back and continued his studies. He kept thinking about the falling apple and its straight-down path. As he studied more and more, he eventually developed the ideas that became known as the law of universal gravitation and helped scientists, inventors, and ordinary people to understand motion. Years later, he told the story of the falling apple to a man named William Stuckeley, who later published the story in a biography he wrote about Newton. Interestingly, the same apple tree is still growing on the same property in England, over 350 years later. Question 1 Even though modern scientists have developed new ideas that go beyond Newton's ideas, we still know that gravity causes falling objects to appear to fall straight toward the Earth. The image below shows the positions of a falling ball that was dropped from 10 meters high.

10------8-------6------4-------2--------0.

a. At which position is the potential energy the greatest?(1 point)Responses10 m10 m8 m8 m5 m5 m0 m0 mQuestion 2b. At what position is the kinetic energy the greatest?(1 point)Responses10 m10 mjust below 10 mjust below 10 mjust above 0 mjust above 0 m0 m0 mQuestion 3c. What is happening to potential energy as the ball is falling?(1 point)ResponsesPotential energy is decreasing.Potential energy is decreasing.Potential energy is increasing.Potential energy is increasing.Potential energy is staying the same.Potential energy is staying the same.It is impossible to tell.It is impossible to tell.Question 4d. What is happening to kinetic energy as the ball is falling?(1 point)ResponsesKinetic energy is decreasing.Kinetic energy is decreasing.Kinetic energy is increasing.Kinetic energy is increasing.Kinetic energy is staying the same.Kinetic energy is staying the same.It is impossible to tell.It is impossible to tell.Question 5e. What is happening to total energy as the ball is falling?(1 point)ResponsesTotal energy is decreasing.Total energy is decreasing.Total energy is increasing.Total energy is increasing.Total energy is staying the same.Total energy is staying the same.It is impossible to tell.

Here are the answers to your questions based on the principles of physics related to potential energy, kinetic energy, and the conservation of energy:

Question 1: a. At which position is the potential energy the greatest?
Response: 10 m
Potential energy is highest when the object is at its maximum height. Since the ball is dropped from 10 meters, it has the greatest potential energy at that position.

Question 2: b. At what position is the kinetic energy the greatest?
Response: just above 0 m
The kinetic energy of the ball is greatest just before it hits the ground. Kinetic energy increases as the ball falls, reaching its maximum just before impact when the ball is just above 0 meters.

Question 3: c. What is happening to potential energy as the ball is falling?
Response: Potential energy is decreasing.
As the ball falls, its height decreases, and thus its potential energy decreases.

Question 4: d. What is happening to kinetic energy as the ball is falling?
Response: Kinetic energy is increasing.
As the ball falls, it accelerates due to gravity, and its speed increases, resulting in an increase in kinetic energy.

Question 5: e. What is happening to total energy as the ball is falling?
Response: Total energy is staying the same.
The total mechanical energy (potential energy + kinetic energy) remains constant in the absence of air resistance and other forces. Energy is converted from potential energy to kinetic energy, but the total energy is conserved.

If you have any further questions or need clarification on any of the answers, feel free to ask!

Aaron and Makayla want to determine what type of energy each basketball has. c. Identify the type or types of energy described in each situation listed below. You might click only one answer in each row, or you might click both answers in a row. One basketball is stored on a shelf about 4 feet high. One basketball is rolling on the floor. One basketball is falling through the hoop near the top of the basketball goal.

Here’s how you can classify the types of energy for each situation involving the basketballs:

  1. One basketball is stored on a shelf about 4 feet high.
    Type of Energy: Potential Energy
    The basketball has gravitational potential energy due to its height above the ground.

  2. One basketball is rolling on the floor.
    Type of Energy: Kinetic Energy
    The rolling basketball is in motion, which means it has kinetic energy.

  3. One basketball is falling through the hoop near the top of the basketball goal.
    Type of Energy: Kinetic Energy and Potential Energy
    As it falls, the basketball has kinetic energy because it is in motion, and it also has some potential energy while it's at a height above the ground. (If the basketball is just about to fall through the hoop, it generally has more kinetic energy, but both types are present as it transitions.)

You can choose the types of energy based on the classifications above. If you are required to choose just one for the third scenario, Kinetic Energy is typically the dominant form right before it reaches the hoop.

Sandra and her dad go to the grocery story. As they do their shopping, Sandra's dad asks her about her homework. Sandra remembers that she is supposed to make a list of "real world" examples of energy transfer. Which of the following could be included on a list of examples showing an energy transfer to an object?

Sandra slides a gallon of milk out of the way to get a colder gallon from the back of the shelf. Sandra's dad stands still while he thinks about what is on the grocery list. Sandra's dad pushes the grocery cart to make it start moving. Sandra sees a new kind of breakfast pastry sitting on a high shelf.

Here are the examples from the scenarios you provided, along with an evaluation of whether they demonstrate energy transfer:

  1. Sandra slides a gallon of milk out of the way to get a colder gallon from the back of the shelf.
    Evaluation: No Energy Transfer
    While Sandra is performing a physical action, there is no significant transfer of energy to the milk itself in this case.

  2. Sandra's dad stands still while he thinks about what is on the grocery list.
    Evaluation: No Energy Transfer
    There is no motion or energy transfer occurring in this scenario as he is standing still.

  3. Sandra's dad pushes the grocery cart to make it start moving.
    Evaluation: Yes, Energy Transfer
    This example shows energy transfer because the dad applies a force to the grocery cart, transferring kinetic energy to it, causing it to move.

  4. Sandra sees a new kind of breakfast pastry sitting on a high shelf.
    Evaluation: No Energy Transfer
    This example does not involve any transfer of energy; it's merely an observation.

Conclusion: The example that could be included on a list of examples showing an energy transfer is "Sandra's dad pushes the grocery cart to make it start moving."

Energy ______ be created or destroyed by ordinary physical or chemical process. This concept is called the ______ Throughout the experiment, the total amount of energy must ______. When potential energy goes down, kinetic energy _____. When potential energy goes up, kinetic energy __________.

Here is the completed text with the appropriate terms filled in:

Energy cannot be created or destroyed by ordinary physical or chemical processes. This concept is called the law of conservation of energy. Throughout the experiment, the total amount of energy must remain constant. When potential energy goes down, kinetic energy goes up. When potential energy goes up, kinetic energy goes down.

If you have any further questions or need additional help, feel free to ask!