The maximum acceleration with which a body of mass $200 \mathrm{~kg}$ is lowered into a well using a rope…

The maximum acceleration with which a body of mass $200 \mathrm{~kg}$ is lowered into a well using a rope having a breaking force of $50 \mathrm{~kg}$-wt is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )
  1. $7.5 \mathrm{~ms}^{-2}$
  2. $5 \mathrm{~ms}^{-2}$
  3. $3 \mathrm{~ms}^{-2}$
  4. $2.5 \mathrm{~ms}^{-2}$

Solution


$\begin{gathered}200 \mathrm{~g}-\mathrm{T}=200 \mathrm{a} \\ 2000-500=200 \mathrm{a} \\ \Rightarrow \mathrm{a}=\frac{1500}{200}=7.5 \mathrm{~m} / \mathrm{s}^2\end{gathered}$

Asked in: AP EAMCET 2023 (19 May Shift 1)

Practice more Laws of Motion questions on Aicharya