A ball of mass m is attached to a thin string and whirled in a vertical circle or radius r. The magnitude of the tension in the string at point e where the ball is moving with speed v is C e O mv²/r O mv²/r-mg O mg mg + mv²/r O mg cos(0) f b a

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**Transcription for Educational Website**

**Problem Statement:**

A ball of mass \( m \) is attached to a thin string and whirled in a vertical circle of radius \( r \). The magnitude of the tension in the string at point \( e \) where the ball is moving with speed \( v \) is:

**Diagram Explanation:**

The diagram depicts a vertical circle with labeled positions \( a, b, c, d, e, \) and \( f \) along the circle. The radius of the circle is denoted by \( r \). At point \( b \), the ball is shown moving in the direction of the tension vector. The circle with these points represents the path of the ball attached to a string. The point \( e \) is one of the positions along this circular path where the tension needs to be calculated.

**Answer Choices:**

- \( \frac{mv^2}{r} \)
- \( \frac{mv^2}{r} - mg \)
- \( mg \)
- \( mg + \frac{mv^2}{r} \)
- \( mg \cos(\theta) \) 

The problem asks for the magnitude of the tension in the string at point \( e \) as the ball moves along its circular path. Select the correct expression from the given options.
Transcribed Image Text:**Transcription for Educational Website** **Problem Statement:** A ball of mass \( m \) is attached to a thin string and whirled in a vertical circle of radius \( r \). The magnitude of the tension in the string at point \( e \) where the ball is moving with speed \( v \) is: **Diagram Explanation:** The diagram depicts a vertical circle with labeled positions \( a, b, c, d, e, \) and \( f \) along the circle. The radius of the circle is denoted by \( r \). At point \( b \), the ball is shown moving in the direction of the tension vector. The circle with these points represents the path of the ball attached to a string. The point \( e \) is one of the positions along this circular path where the tension needs to be calculated. **Answer Choices:** - \( \frac{mv^2}{r} \) - \( \frac{mv^2}{r} - mg \) - \( mg \) - \( mg + \frac{mv^2}{r} \) - \( mg \cos(\theta) \) The problem asks for the magnitude of the tension in the string at point \( e \) as the ball moves along its circular path. Select the correct expression from the given options.
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