Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The mass of lift is $2000 \mathrm{~kg}$. When the tension in the supporting cable is $28000 \mathrm{~N}$, then its acceleration is :
PhysicsLaws of MotionJEE Main
Options:
  • A $14 \mathrm{~ms}^{-2}$ upwards
  • B $30 \mathrm{~ms}^{-2}$ downwards
  • C $4 \mathrm{~ms}^{-2}$ upwards
  • D $4 \mathrm{~ms}^{-2}$ downwards
Solution:
1806 Upvotes Verified Answer
The correct answer is: $4 \mathrm{~ms}^{-2}$ upwards
$$
\begin{aligned}
& \Sigma F=m a \\
& \Rightarrow \mathrm{T}-\mathrm{mg}=\mathrm{ma} \\
& \mathrm{a}=\frac{\mathrm{T}-\mathrm{mg}}{\mathrm{m}}=4 \mathrm{~m} / \mathrm{s}^2
\end{aligned}
$$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.