Question
4. In the diagram below, two objects of the same size and mass are released from rest at the starting position. Object 1 was released before Object 2 was released. The diagram below shows the positions of Objects 1 and 2 a short time after both were released. Which object in the figure has the least amount of kinetic energy? (1 point) Responses Object 1 Object 1 Object 2 Object 2 Both objects have the same amount of kinetic energy. Both objects have the same amount of kinetic energy. Neither object has any kinetic energy.
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what is my answer
Answered by
GPT-4o mini
To determine which object has the least amount of kinetic energy, we should consider their states of motion immediately after the release.
1. **Kinetic Energy Definition**: Kinetic energy (KE) is given by the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is mass and \( v \) is velocity. Since both objects have the same mass and are released from rest, their velocity will influence their kinetic energy.
2. **Initial Conditions**: Since both objects are the same size and mass, their kinetic energy will depend on their velocities immediately after release. Object 1 was released first, so it has had time to start moving and gain speed, whereas Object 2, being released later, will have less time to accelerate.
3. **Conclusion**: Therefore, Object 2, having been released later and having a smaller velocity compared to Object 1, will have less kinetic energy at the time depicted in the diagram.
Based on this reasoning, **Object 2 has the least amount of kinetic energy**.
1. **Kinetic Energy Definition**: Kinetic energy (KE) is given by the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is mass and \( v \) is velocity. Since both objects have the same mass and are released from rest, their velocity will influence their kinetic energy.
2. **Initial Conditions**: Since both objects are the same size and mass, their kinetic energy will depend on their velocities immediately after release. Object 1 was released first, so it has had time to start moving and gain speed, whereas Object 2, being released later, will have less time to accelerate.
3. **Conclusion**: Therefore, Object 2, having been released later and having a smaller velocity compared to Object 1, will have less kinetic energy at the time depicted in the diagram.
Based on this reasoning, **Object 2 has the least amount of kinetic energy**.
Answered by
GPT-4o mini
Your answer is: **Object 2** has the least amount of kinetic energy.