At the lowest point of her swing, the tension in the rope is greater than the gravitational force on the girl. Here's why:

1. When the girl is at the lowest point of her swing, she is momentarily at rest before she starts to swing back up. At this point, the forces acting on her are the tension in the rope and the force of gravity pulling her down.

2. The force of gravity is always acting on the girl, pulling her straight down towards the center of the Earth. This force is equal to the girl's mass times the acceleration due to gravity (F=mg).

3. The tension in the rope must counteract this downward force to keep the girl from falling. However, because the girl is also changing direction at the bottom of the swing (from moving downwards to moving upwards), the tension must also provide the centripetal force needed for this change in motion.

4. Therefore, the tension in the rope at the bottom of the swing must be greater than the force of gravity on the girl to both counteract the downward gravitational force and provide the upward force needed for her to start swinging back up.

Question

At the lowest point of her swing, the tension in the rope is greater than the gravitational force on the girl. Here's why:

1. When the girl is at the lowest point of her swing, she is momentarily at rest before she starts to swing back up. At this point, the forces acting on her are the tension in the rope and the force of gravity pulling her down.

2. The force of gravity is always acting on the girl, pulling her straight down towards the center of the Earth. This force is equal to the girl's mass times the acceleration due to gravity (F=mg).

3. The tension in the rope must counteract this downward force to keep the girl from falling. However, because the girl is also changing direction at the bottom of the swing (from moving downwards to moving upwards), the tension must also provide the centripetal force needed for this change in motion.

4. Therefore, the tension in the rope at the bottom of the swing must be greater than the force of gravity on the girl to both counteract the downward gravitational force and provide the upward force needed for her to start swinging back up.

Knowee AI · Accepted Answer

At the lowest point of her swing, the tension in the rope is greater than the gravitational force on the girl. Here's why:

1. When the girl is at the lowest point of her swing, she is momentarily at rest before she starts to swing back up. At this point, the forces acting on her are the tension in the rope and the force of gravity pulling her down.

2. The force of gravity is always acting on the girl, pulling her straight down towards the center of the Earth. This force is equal to the girl's mass times the acceleration due to gravity (F=mg).

3. The tension in the rope must counteract this downward force to keep the girl from falling. However, because the girl is also changing direction at the bottom of the swing (from moving downwards to moving upwards), the tension must also provide the centripetal force needed for this change in motion.

4. Therefore, the tension in the rope at the bottom of the swing must be greater than the force of gravity on the girl to both counteract the downward gravitational force and provide the upward force needed for her to start swinging back up.

A little girl is swinging on her tire swing. At the lowest point of her swing, the tension in the rope is Less than the gravitational force on the girl. Greater than the gravitational force on the girl. Equal to the gravitational force on the girl.

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