A box of mass $2 k g$ is placed on the roof of a car. The box would remain stationary until the car attains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is $0.2$ and $g = 10 m s^{- 2}$ . This maximum acceleration of the car, for the box to remain stationary is :

8 m s^{- 2}

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6 m s^{- 2}

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4 m s^{- 2}

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2 m s^{- 2}

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Solution

The correct option is C $2 m s^{- 2}$
Given, $m = 2 k g, μ = 0.2$ and $g = 10 m s^{- 2}$
Here, $m a = μ m g$
$a = μ g$
$a = 0.2 \times 10$
$a = 2 m / s^{2}$

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A box of mass 2 kg is placed on the roof of a car. The box would remain stationary until the car attains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is 0.2 and g=10 ms−2. This maximum acceleration of the car, for the box to remain stationary is :

The correct option is C 2 ms−2Given, m=2 kg,μ=0.2 and g=10 ms−2Here, ma=μmga=μga=0.2×10a=2 m/s2

The correct option is C $2 m s^{- 2}$
Given, $m = 2 k g, μ = 0.2$ and $g = 10 m s^{- 2}$
Here, $m a = μ m g$
$a = μ g$
$a = 0.2 \times 10$
$a = 2 m / s^{2}$