NEET 2023 — Physics solution

NEET2023Physics

Calculate the maximum acceleration 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 $0.15$ ( $g = 10$ m s $^{- 2}$ ).

A
$150$ m s $^{- 2}$
B
$1.5$ m s $^{- 2}$
C
$50$ m s $^{- 2}$
D
$1.2$ m s $^{- 2}$

Solution

For the body not to slip, the required pseudo-force in the car's frame must be balanced by static friction. At the limiting case:

$m a_{ma x} = μ m g \Rightarrow a_{ma x} = μg = 0.15 \times 10 = 1.5$ m s $^{- 2}$ .

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