A stone is tied to a string of length \( \ell \) and is whirled in a vertical circle with the ...
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A stone is tied to a string of length \( \ell \) and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed \( \mathrm{u} \) . The magnitude of the change in velocity as it reaches a position where the string is horizontal ( \( \mathrm{g} \) being acceleration due to gravity) is :-
(1) \( \sqrt{u^{2}-g \ell} \)
(2) \( u-\sqrt{u^{2}-2 g \ell} \)
(3) \( \sqrt{2 g \ell} \)
(4) \( \sqrt{2\left(u^{2}-g \ell\right)} \)
\( \mathrm{P} \)
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