question_answer

One end of a spring of natural length \[{{l}_{0}}=0.1m\]and spring constant \[k=08\,\text{N}\,{{\text{m}}^{-1}}\]is fixed to the ground and the other end is fitted with a smooth ring of mass m = 2 g, which is allowed to slide on a horizontal rod fixed at a height h=0.1m. Initially the spring makes an angle of \[37{}^\circ \]with the  vertical when the system is released from rest. When the spring becomes vertical, if the speed of ring is v, then the value of v is_______\[\text{m}\,{{\text{s}}^{-1}}\]. (Given \[\cos {{37}^{o}}=\frac{4}{5}\])

Answer:

5.0