A heavy particle is projected from a point on horizontal at an angle 60^o with horizontal with a spe

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3-2.Motion in Plane

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A heavy particle is projected from a point on the horizontal at an angle $60^o$ with the horizontal with a speed of $10\ m/s$ . Then the radius of the curvature of its path at the instant of crossing the same horizontal will be ......... $m$

A

$20$

B

$30$

C

$25$

D

$30$

Solution

radial acceleration at the point of landing $a_{n}=g \operatorname{cos} 60=\frac{u^{2}}{r}$

$\Rightarrow r=\frac{u^{2}}{g \cos 60}=\frac{(10)^{2}}{10 \times 1 / 2}=20 m$

Standard 11

Physics

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