A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N . What is the maximum speed with which the ball can be moved

Explanation

To solve the problem, we need to find the maximum speed with which the ball can be moved without breaking the string. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Mass of the ball, \( m = 0.25 \, \text{kg} \)
- Length of the string (radius of the circle), \( r = 1.96 \, \text{m} \)
- Maximum tension in the string, \( T_{\text{max}} = 25 \, \text{N} \)

### Step 2: Understand the relationship between tension and centripetal force
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