It looks like you've uploaded a worksheet related to Newton's First Law of Motion and a ball moving inside a hoop. Based on the provided description, I can assist with the following concepts:

1. Velocity Vectors: The ball is moving in a circular path, so its velocity is always tangent to the circle at any given position. At each point in the circle, the velocity vector should be drawn in the direction tangent to the hoop, perpendicular to the radius connecting the ball to the center of the hoop.

2. Net Force and Centripetal Force: According to Newton’s First Law of Motion, the ball must have a net force acting on it to maintain its circular motion. This force is known as centripetal force, which is directed toward the center of the circle, preventing the ball from flying off in a straight line. The force could be due to the wall of the hoop pushing inward on the ball.

3. Effect of Removing a Portion of the Hoop: If a portion of the hoop is removed, the ball will no longer be constrained along the circular path. Assuming no friction or external forces, the ball will continue moving in a straight line tangential to the point where the hoop was removed, as per Newton's First Law of Motion. The ball will keep its velocity in the direction it was moving just before the hoop was removed.

Would you like more details or help with any specific part of this worksheet? Let me know if you need further clarifications or have additional questions!

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Here are five related questions you might find interesting:

1. What is the relationship between centripetal force and velocity in circular motion?
2. How does friction affect the ball’s motion in a system like this?
3. What would happen if the ball were to travel along a straight path with no external forces acting on it?
4. How does Newton’s Second Law relate to centripetal force in this scenario?
5. What would happen if the hoop was moving at varying speeds?

Tip: When analyzing circular motion, remember that the velocity vectors always point tangentially to the path, and the centripetal force always points toward the center of the circle!