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
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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**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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