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NEET · Physics · STD 11 - 5. work,energy,power and collision
What is the minimum velocity with which a body of mass \(m\) must enter a vertical loop of radius \(R\) so that it can complete the loop \(?\)
- A \(\sqrt {2gR} \)
- B \(\;\sqrt {5gR} \)
- C \(\;\sqrt {3gR} \)
- D \(\;\sqrt {gR} \)
Answer & Solution
Correct Answer
(B) \(\;\sqrt {5gR} \)
Step-by-step Solution
Detailed explanation
Let the tension at point \(A\) be \(T_{A} .\) So, from Newton's second law \(T_{A}-m g=\frac{m v_{c}^{2}}{R}\)
Energy at point \(A=\frac{1}{2} m v_{0}^{2}\) \(...(i)\)
Energy at point \(A=\frac{1}{2} m v_{0}^{2}\) \(...(i)\)
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