A ball of mass 0.25kg attached to the end of a string of length 1.96m is moving in a horizontal circle. The string will break if the tension is more than 25N. What is the maximum speed at which the ball can be moved?
Correct answer: A. 14m/s
- A. 14m/s
- B. 3m/s
- C. 3.92m/s
- D. 5m/s
Explanation
The correct answer is 14m/s. By using the formula T = (mv2)/r and substituting the given values, we find that the maximum speed the ball can be moved is 14m/s, as exceeding this speed would cause the tension to exceed 25N, leading to the string breaking. The other options are incorrect as they do not match the correct calculation based on the given parameters.To find the maximum speed, use the formula T = (mv2)/r, where T is the tension, m is the mass, v is the speed, and r is the radius of the circle. Setting T = 25N and solving for v gives v = √(25 * 1.96 / 0.25) = 14m/s.
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