Q97 / 197 · NEET 2009 (Mains) · Physics

The mass of lift is $2000 \mathrm{~kg}$. When the tension in the supporting cable is $28000 \mathrm{~N}$, then its acceleration is :

  • A
    $14 \mathrm{~ms}^{-2}$ upwards
  • B
    $30 \mathrm{~ms}^{-2}$ downwards
  • Correct answer
    C
    $4 \mathrm{~ms}^{-2}$ upwards
  • D
    $4 \mathrm{~ms}^{-2}$ downwards

Solution

$$ \begin{aligned} & \Sigma F=m a \\ & \Rightarrow \mathrm{T}-\mathrm{mg}=\mathrm{ma} \\ & \mathrm{a}=\frac{\mathrm{T}-\mathrm{mg}}{\mathrm{m}}=4 \mathrm{~m} / \mathrm{s}^2 \end{aligned} $$

Hence, the correct answer is option: 'C'.

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