Two blocks of masses 6 kg and 4 kg are placed in contact with each other on a smooth surface as shown. If a…

Two blocks of masses 6 kg and 4 kg are placed in contact with each other on a smooth surface as shown. If a force of 5 N is applied on a heavier block, the force on the lighter block is
  1. 5 N
  2. 4 N
  3. 2 N
  4. 1 N

Solution

Given: $\mathrm{m}_1=6 \mathrm{~kg}, \mathrm{~m}_2=4 \mathrm{~kg}$ and $\mathrm{F}=5 \mathrm{~N}$ $\begin{array}{ll} & F=\left(m_1+m_2\right) a \\ \therefore \quad & a=\frac{F}{\left(m_1+m_2\right)}=\frac{5}{(6+4)}=0.5 \mathrm{~m} / \mathrm{s}^2 \end{array}$ $\begin{aligned} \therefore \quad \text { Force on second mass } & =\mathrm{m}_2 \times \mathrm{a} \\ & =4 \times 0.5 . \\ & =2 \mathrm{~N} \end{aligned}$

Asked in: MHT CET 2024 (03 May Shift 1)

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