A particle of mass \( m \) is moving with constant velocity \( \vec{v} \) on smooth horizontal s....

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A particle of mass \( m \) is moving with constant velocity \( \vec{v} \) on smooth horizontal surface. A constant force \( \overrightarrow{\mathrm{F}} \)
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starts acting on particle perpendicular to velocity \( v \). Radius of curvature after force \( \mathrm{F} \) start acting is:
(1) \( \frac{m v^{2}}{\mathrm{~F}} \)
(2) \( \frac{m v^{2}}{\mathrm{~F} \cos \theta} \)
(3) \( \frac{m v^{2}}{F \sin \theta} \)
(4) None of these


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