Question
1. The momentum of the ball increases over time. 2. The ball has no net force acting on it. 3. The ball will accelerate as gravity pulls it down the hill. 4. There are no forces acting on the ball.
Answers
GPT-4o mini
Let's analyze each of the statements regarding the scenario of a ball rolling down a hill.
1. **The momentum of the ball increases over time.**
- **True.** As the ball rolls down the hill, it accelerates due to gravity, which means its velocity is increasing. Since momentum (p) is the product of mass (m) and velocity (v) (p = mv), an increase in velocity means the momentum of the ball increases.
2. **The ball has no net force acting on it.**
- **False.** If the ball is rolling down a hill, there is a net force acting on it, primarily the force of gravity pulling it down the slope.
3. **The ball will accelerate as gravity pulls it down the hill.**
- **True.** Gravity causes the ball to accelerate down the slope. This is the primary reason for its increase in velocity and momentum.
4. **There are no forces acting on the ball.**
- **False.** Similar to statement 2, if the ball is experiencing motion (e.g., rolling down a hill), there are forces acting upon it, most notably the gravitational force.
In summary:
1. True
2. False
3. True
4. False
1. **The momentum of the ball increases over time.**
- **True.** As the ball rolls down the hill, it accelerates due to gravity, which means its velocity is increasing. Since momentum (p) is the product of mass (m) and velocity (v) (p = mv), an increase in velocity means the momentum of the ball increases.
2. **The ball has no net force acting on it.**
- **False.** If the ball is rolling down a hill, there is a net force acting on it, primarily the force of gravity pulling it down the slope.
3. **The ball will accelerate as gravity pulls it down the hill.**
- **True.** Gravity causes the ball to accelerate down the slope. This is the primary reason for its increase in velocity and momentum.
4. **There are no forces acting on the ball.**
- **False.** Similar to statement 2, if the ball is experiencing motion (e.g., rolling down a hill), there are forces acting upon it, most notably the gravitational force.
In summary:
1. True
2. False
3. True
4. False