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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)

  • A$m \left(\frac{ v ^{2}}{\mu_{ s } R }+ g \right)$
  • B$m \left(\frac{ v ^{2}}{\mu_{ s } R }- g \right)$
  • C$m \left( g -\frac{ v ^{2}}{\mu_{ s } R }\right)$
  • D$-m\left(g+\frac{v^{2}}{\mu_{s} R}\right)$
JEE MAIN 2021, Diffcult
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