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A box of mass $2 \mathrm{kg}$ 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 $g=10 \mathrm{ms}^{-2}$ This maximum acceleration of the car, for the box to remain stationary, is
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The correct answer is:
$2 \mathrm{ms}^{-2}$
Given, $m=2 \mathrm{kg}, \mu=0.2$ and $g=10 \mathrm{ms}^{-2}$
Here, $\quad m a=\mu m g$
$$
\begin{array}{l}
a=\mu g \\
a=0.2 \times 10 \\
a=2 \mathrm{m} / \mathrm{s}^{2}
\end{array}
$$
Here, $\quad m a=\mu m g$
$$
\begin{array}{l}
a=\mu g \\
a=0.2 \times 10 \\
a=2 \mathrm{m} / \mathrm{s}^{2}
\end{array}
$$
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