A force \( F=50 \mathrm{~N} \) is applied at one end of a string, t...

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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
\( \mathrm{P} \) \( \theta=30^{\circ} \) and final instant as \( \theta=37^{\circ} \). For the time between these

W two instants, answer the following questions?
Find the ratio of initial acceleration to final acceleration of the block.
(1) \( \frac{3 \sqrt{5}}{8} \)
(2) \( \frac{8 \sqrt{3}}{5} \)
(3) \( \frac{8 \sqrt{5}}{3} \)
(4) \( \frac{5 \sqrt{3}}{8} \)
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