MHT CET · Physics · Laws of Motion
A ball of mass \(0.25 \mathrm{~kg}\) attached to the end of a string of length \(1.96 \mathrm{~m}\) is moving in a horizontal circle. The string will break if the tension is more than \(25 \mathrm{~N}\). What is the maximum speed with which ball can be moved?
- A \(14 \mathrm{~m} / \mathrm{s}\)
- B \(3 \mathrm{~m} / \mathrm{s}\)
- C \(3.92 \mathrm{~m} / \mathrm{s}\)
- D \(5 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(A) \(14 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Tension of string \(T=\frac{m v^{2}}{r}\)
\(25=\frac{0.25 \times v^{2}}{1.96}\)
\(v=14 \mathrm{~m} / \mathrm{s}\)
\(25=\frac{0.25 \times v^{2}}{1.96}\)
\(v=14 \mathrm{~m} / \mathrm{s}\)
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