Calculate maximum acceleration (in m s ^{-2} ) of a moving car so that a body lying on floor of car

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4-2.Friction

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Calculate the maximum acceleration (in $m s ^{-2}$) of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ $\left( g =10 m s ^{-2}\right)$.

A$50$

B$1.2$

C$150$

D$1.5$

(NEET-2023)

Solution

$F _{ s }= ma$
$f _{ L }= ma a _{\max }$
$\mu mg = ma _{\max }$
$a _{\text {max }}=\mu g$
$=0.15(10)$
$=1.5\,m / s ^2$

Standard 11

Physics

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