A 1.2-kg tether ball is attached to one end of a light, uniform 1.5-m-long rope which is attached to a vertical pole at the other end. What speed must the tether ball have in order to swing in a horizontal circle such that the rope maintains an angle of 500 to the vertical? 500 1.5 m = L 1.2 kg = m a. 1.7 m/s

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question 5**

A 1.2-kg tether ball is attached to one end of a light, uniform 1.5-m-long rope which is attached to a vertical pole at the other end. What speed must the tether ball have in order to swing in a horizontal circle such that the rope maintains an angle of 50° to the vertical?

**Diagram Explanation:**

The diagram shows a vertical pole with a rope attached. The rope is inclined at an angle of 50° from the vertical, with the tether ball at the other end. The rope length is labeled as 1.5 m = L, and the mass of the ball is labeled as 1.2 kg = m. A dotted circle represents the horizontal path of the ball’s swing.

**Answer Choices:**

a. 1.7 m/s  
b. 3.7 m/s  
c. 2.2 m/s  
d. 2.7 m/s  
e. 3.2 m/s
Transcribed Image Text:**Question 5** A 1.2-kg tether ball is attached to one end of a light, uniform 1.5-m-long rope which is attached to a vertical pole at the other end. What speed must the tether ball have in order to swing in a horizontal circle such that the rope maintains an angle of 50° to the vertical? **Diagram Explanation:** The diagram shows a vertical pole with a rope attached. The rope is inclined at an angle of 50° from the vertical, with the tether ball at the other end. The rope length is labeled as 1.5 m = L, and the mass of the ball is labeled as 1.2 kg = m. A dotted circle represents the horizontal path of the ball’s swing. **Answer Choices:** a. 1.7 m/s b. 3.7 m/s c. 2.2 m/s d. 2.7 m/s e. 3.2 m/s
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