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Two situations are shown in fig. (a) and (b).
In each case, $m_1=3 \mathrm{~kg}$ and $m_2=4 \mathrm{~kg}$. If $a_1, a_2$ are the respective accelerations of the blocks in these situations, then the values of $a_1$ and $a_2$ are respectively [ $g=10 \mathrm{~ms}^{-2}$ ]
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In each case, $m_1=3 \mathrm{~kg}$ and $m_2=4 \mathrm{~kg}$. If $a_1, a_2$ are the respective accelerations of the blocks in these situations, then the values of $a_1$ and $a_2$ are respectively [ $g=10 \mathrm{~ms}^{-2}$ ]
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Verified Answer
The correct answer is:
$\frac{40}{7} \mathrm{~ms}^{-2}, \frac{10}{7} \mathrm{~ms}^{-2}$
From $(i) \&(i i)$, we get
$$
a_1=\frac{m_2 g}{m_1+m_2}
$$
as $m_1=3 \mathrm{~kg}, m_2=4 \mathrm{~kg}$
$$
a_1=\frac{4 \times 10}{3+4}=\frac{40}{7} \mathrm{~m} / \mathrm{s}^2
$$
For fig. (b)
$$
a=\left(\frac{m_2-m_1}{\left(m_1+m_2\right)}\right) g=\frac{10}{7} \mathrm{~m} / \mathrm{s}^2
$$
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