In the figure shown, all surfaces are smooth. Find acceleration of all the three blocks.

3

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Solution

The correct option is D $3$
Let $a$ be the acceleration of the all three blocks.
Here all three blocks will act as a single body with mass, $m = 6 + 4 + 10 = 20 k g$
As force on left side is more so it will move to the right. Thus, the equation of motion of the system , $m a = 100 - 40 = 60 N$
or $a = 60 / 20 = 3 m / s^{2}$

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