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 $0.15\left(\mathrm{g}=10{\mathrm{m}\mathrm{s}}^{-2}\right)$ .

Correct Option - 4


Detailed Solution:

In the frame of car

$\mathrm{N}=\mathrm{m}\mathrm{g}$

and $\mathrm{f}=\mathrm{m}\mathrm{a}$

$\mathrm{f}\le \mu \mathrm{N}$

$\Rightarrow \mathrm{a}\le \mu \mathrm{g}$

$\Rightarrow \mathrm{a}\le 1.5{\mathrm{m}\mathrm{s}}^{-2}$

or ${\mathrm{a}}_{\mathrm{m}\mathrm{a}\mathrm{x}}=1.5{\mathrm{m}\mathrm{s}}^{-2}$ amax=1.5 ms-2

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