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A block $A$ with mass $100 \mathrm{~kg}$ is resting on another block $B$ of mass $200 \mathrm{~kg}$. As shown in figure a horizontal rope tied to a wall holds it. The coefficient of friction between $A$ and $B$ is 0.2 while coefficient of friction between $B$ and the ground is 0.3 . The minimum required force $F$ to start moving $B$ will be

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The correct answer is:
$1100 \mathrm{~N}$

$\begin{aligned}
& \quad F=f_{A B}+f_{B G} \\
& =\mu_{A B} m_a g+\mu_{B G}\left(m_A+m_B\right) g \\
& =0.2 \times 100 \times 10 \\
& +0.3(300) \times 10 \\
& =200+900=1100 \mathrm{~N}
\end{aligned}$
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