3 kg ball is attached to the end of a 35 cm string of negligible mass. The ball makes a vertical circle. The figure shows the location of the ball at the top of the circle. a. If the ball’s speed is the same at the top and bottom of the circle, at which point (top or bottom) in the balls trajectory is the tension in the string the largest? Explain. (Hint a force diagram will be very helpful in this explanation)  b. If the string will break if its tension exceeds 200 N, what is the maximum speed of the ball at this point?

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A 3 kg ball is attached to the end of a 35 cm string of negligible mass. The ball makes a vertical circle. The figure shows the location of the ball at the top of the circle.


a. If the ball’s speed is the same at the top and bottom of the circle, at which point (top or bottom) in the balls trajectory is the tension in the string the largest? Explain. (Hint a force diagram will be very helpful in this explanation)


 b. If the string will break if its tension exceeds 200 N, what is the maximum speed of the ball at this point?

**Transcription for Educational Website:**

---

**Physics Problem: Circular Motion**

1. A 3 kg ball is attached to the end of a 35 cm string of negligible mass. The ball makes a vertical circle. The figure shows the location of the ball at the top of the circle.

   ![Circle Diagram](#)

   - **Diagram Explanation:** The diagram shows a vertical circle with a ball at the topmost point. An arrow indicates the direction of the ball’s motion.

   **a.** If the ball’s speed is the same at the top and bottom of the circle, at which point (top or bottom) in the ball's trajectory is the tension in the string the largest? Explain. 
   
   *(Hint: A force diagram will be very helpful in this explanation.)*

   **b.** If the string will break if its tension exceeds 200 N, what is the maximum speed of the ball at this point?

--- 

This problem explores the dynamics of circular motion, focusing on the variation of tension in the string that holds the ball as it moves.
Transcribed Image Text:**Transcription for Educational Website:** --- **Physics Problem: Circular Motion** 1. A 3 kg ball is attached to the end of a 35 cm string of negligible mass. The ball makes a vertical circle. The figure shows the location of the ball at the top of the circle. ![Circle Diagram](#) - **Diagram Explanation:** The diagram shows a vertical circle with a ball at the topmost point. An arrow indicates the direction of the ball’s motion. **a.** If the ball’s speed is the same at the top and bottom of the circle, at which point (top or bottom) in the ball's trajectory is the tension in the string the largest? Explain. *(Hint: A force diagram will be very helpful in this explanation.)* **b.** If the string will break if its tension exceeds 200 N, what is the maximum speed of the ball at this point? --- This problem explores the dynamics of circular motion, focusing on the variation of tension in the string that holds the ball as it moves.
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