Question
Before the coyote begins to fall, what can you tell about the potential and kinetic energy of the roadrunner vs the coyote?
Select all correct responses
(2 points)
Responses
The potential energy of both are equal.
The potential energy of both are equal.
The potential energy of the one with the most mass is greater than the other.
The potential energy of the one with the most mass is greater than the other.
Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
Weight is the same for both, regardless of mass.
Select all correct responses
(2 points)
Responses
The potential energy of both are equal.
The potential energy of both are equal.
The potential energy of the one with the most mass is greater than the other.
The potential energy of the one with the most mass is greater than the other.
Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
Weight is the same for both, regardless of mass.
Answers
GPT-4o mini
To analyze the potential and kinetic energy of the roadrunner and the coyote before the coyote begins to fall, let's look at the provided responses:
1. **The potential energy of both are equal.**
- This is not necessarily correct unless they are at the same height. Potential energy depends on height and mass, so if they are at different heights, their potential energies would differ.
2. **The potential energy of the one with the most mass is greater than the other.**
- This statement can be true if we assume that they are at the same height. Potential energy (PE) is calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. If they are at the same height and one has more mass, then that one would have greater potential energy.
3. **Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.**
- This statement is correct. If both are falling and we assume they have the same mass, their kinetic energies just before impact would be equal (assuming they start from rest and fall the same height), because kinetic energy (KE) at that point would be derived from their potential energy, which would be converted entirely into kinetic energy as they fall.
4. **Weight is the same for both, regardless of mass.**
- This statement is incorrect. Weight depends on mass (Weight = mass × gravitational force), so if they have different masses, they will have different weights.
Based on this analysis, the correct responses are:
- The potential energy of the one with the most mass is greater than the other.
- Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.
1. **The potential energy of both are equal.**
- This is not necessarily correct unless they are at the same height. Potential energy depends on height and mass, so if they are at different heights, their potential energies would differ.
2. **The potential energy of the one with the most mass is greater than the other.**
- This statement can be true if we assume that they are at the same height. Potential energy (PE) is calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height. If they are at the same height and one has more mass, then that one would have greater potential energy.
3. **Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.**
- This statement is correct. If both are falling and we assume they have the same mass, their kinetic energies just before impact would be equal (assuming they start from rest and fall the same height), because kinetic energy (KE) at that point would be derived from their potential energy, which would be converted entirely into kinetic energy as they fall.
4. **Weight is the same for both, regardless of mass.**
- This statement is incorrect. Weight depends on mass (Weight = mass × gravitational force), so if they have different masses, they will have different weights.
Based on this analysis, the correct responses are:
- The potential energy of the one with the most mass is greater than the other.
- Ignoring air resistance and assuming they have the same mass, the kinetic energy of both is equal right before impact with the ground.