Q70 / 90 · JEE Main 2024 (05 Apr Shift 1) · Physics
A wooden block of mass $5 \mathrm{~kg}$ rests on a soft horizontal floor. When an iron cylinder of mass $25 \mathrm{~kg}$ is placed on the top of the block, the floor yields and the block and the cylinder together go down with an acceleration of $0.1 \mathrm{~ms}^{-2}$. The action force of the system on the floor is equal to:
- A$196 \mathrm{~N}$
- Correct answerB$291 \mathrm{~N}$
- C$294 \mathrm{~N}$
- D$297 \mathrm{~N}$
Solution
Taking $\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2$

$\begin{aligned} & 294-\mathrm{N}=30 \times 0.1 \\ & \mathrm{~N}=291\end{aligned}$

$\begin{aligned} & 294-\mathrm{N}=30 \times 0.1 \\ & \mathrm{~N}=291\end{aligned}$
Hence, the correct answer is option: 'B'.