Question
A set of bouncy balls is gently dropped toward the ground from 5 feet above the ground. Another set of bouncy balls is thrown toward the ground from 5 feet above the ground. Which statement is correct about the bouncy balls?(1 point)
Responses
The force with which all the balls bounce back is the same.
The force with which all the balls bounce back is the same.
The force with which all the balls hit the ground is the same.
The force with which all the balls hit the ground is the same.
The velocities of all the balls are the same prior to hitting the ground.
The velocities of all the balls are the same prior to hitting the ground.
The velocities of all the balls increase at the same rate.
Responses
The force with which all the balls bounce back is the same.
The force with which all the balls bounce back is the same.
The force with which all the balls hit the ground is the same.
The force with which all the balls hit the ground is the same.
The velocities of all the balls are the same prior to hitting the ground.
The velocities of all the balls are the same prior to hitting the ground.
The velocities of all the balls increase at the same rate.
Answers
GPT-4o mini
Let's analyze the statements regarding the two sets of bouncy balls that are dropped and thrown from the same height of 5 feet:
1. **The force with which all the balls bounce back is the same.**
This is not necessarily true because the force of the bounce can depend on how they were released and their material properties.
2. **The force with which all the balls hit the ground is the same.**
This is generally not true, as the force with which they hit the ground can depend on their velocities and the way they were thrown.
3. **The velocities of all the balls are the same prior to hitting the ground.**
This statement is not correct. The balls that are dropped will have a different velocity compared to those that are thrown, given that the thrown balls will have an initial downward speed in addition to the speed gained from gravity.
4. **The velocities of all the balls increase at the same rate.**
This is true for both sets of balls, since both are subject to the same gravitational acceleration (approximately 9.81 m/s²). Regardless of how they were initially moving, when we consider them moving under the influence of gravity, their velocities will increase at the same rate.
Therefore, the correct statement is: **The velocities of all the balls increase at the same rate.**
1. **The force with which all the balls bounce back is the same.**
This is not necessarily true because the force of the bounce can depend on how they were released and their material properties.
2. **The force with which all the balls hit the ground is the same.**
This is generally not true, as the force with which they hit the ground can depend on their velocities and the way they were thrown.
3. **The velocities of all the balls are the same prior to hitting the ground.**
This statement is not correct. The balls that are dropped will have a different velocity compared to those that are thrown, given that the thrown balls will have an initial downward speed in addition to the speed gained from gravity.
4. **The velocities of all the balls increase at the same rate.**
This is true for both sets of balls, since both are subject to the same gravitational acceleration (approximately 9.81 m/s²). Regardless of how they were initially moving, when we consider them moving under the influence of gravity, their velocities will increase at the same rate.
Therefore, the correct statement is: **The velocities of all the balls increase at the same rate.**