A modern grand-prix racing car of mass $m$ is travelling on a flat track in a circular arc of radius $R$ with a speed $v$. If the coefficient of static friction between the tyres and the track is $\mu_{s},$ then the magnitude of negative lift $F_{L}$ acting downwards on the car is
(Assume forces on the four tyres are identical and $g =$ acceleration due to gravity)
JEE MAIN 2021, Difficult
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$\mu_{ s } N =\frac{ mv ^{2}}{ R }$
$N =\frac{ mv ^{2}}{\mu_{ s } R }= mg + F _{ L }$
$F _{ L }=\frac{ mv ^{2}}{\mu_{ s } R }- mg$
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