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A force \( F=50 \mathrm{~N} \) is applied at one end of a string, the other end of which is tied to a block of mass \( 10 \mathrm{~kg} \). The block is free to move on a frictionless horizontal surface. Take initial instant as \( \theta=30^{\circ} \) and final instant as \( \theta=37^{\circ} \). For the time between these two instants, answer the following questions?
What is the final velocity of the block if initially it was at rest?
(1) \( \sqrt{\frac{25}{3}} \mathrm{~m} \mathrm{~s}^{-1} \)
(2) \( 5 \mathrm{~ms}^{-1} \)
(3) \( \sqrt{\frac{20}{3}} \mathrm{~m} \mathrm{~s}^{-1} \)
(4) None of these
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