A particle is kept at highest position of a fixed smooth sphere of radius R. If it is given horizontal speed ' u ', then find the minimum value of u such that particle leaves contact with spherical surface at highest point :

Question

A particle is kept at highest position of a fixed smooth sphere of radius R. If it is given horizontal speed ' u ', then find the minimum value of u such that particle leaves contact with spherical surface at highest point : (A) √ gR  (B) √( gR /2) (C) √(g R/3) (D) √2 gR

Tardigrade Admin · Accepted Answer

mg - N =( mu 2/ R )( N =0) u =√ gR

Q. A particle is kept at highest position of a fixed smooth sphere of radius $R$ . If it is given horizontal speed ' $u$ ', then find the minimum value of $u$ such that particle leaves contact with spherical surface at highest point :

$g R$

$\frac{g R}{2}$

$\frac{g R}{3}$

$2 g R$

$m g - N = \frac{m u ^{2}}{R} (N = 0)$
$u = g R$

Q. A particle is kept at highest position of a fixed smooth sphere of radius R. If it is given horizontal speed ' u ', then find the minimum value of u such that particle leaves contact with spherical surface at highest point :

gR​

2gR​​

3gR​​

2gR​