A small sphere is given vertical velocity of magnitude \( v_{0}=5 \mathrm{~m} \mathrm{~s}^{-1} \...

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Vertical Velocity
Game:
Vertical Velocity (2024)
Duration: 5:28
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A small sphere is given vertical velocity of magnitude \( v_{0}=5 \mathrm{~m} \mathrm{~s}^{-1} \) and it swings in a vertical plane about the end of a massless string. The angle \( \theta \) with the vertical at which string will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere, is
(1) \( \cos ^{-1}\left(\frac{2}{3}\right) \)
(2) \( \cos ^{-1}\left(\frac{1}{4}\right) \)
(3) \( 60^{\circ} \)
(4) \( 30^{\circ} \)
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