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AP EAMCET · PHYSICS · Laws of Motion

A block of metal 4 kg is in rest on a frictionless surface. It was targeted by a jet releasing water of \(2 \mathrm{~kg} \mathrm{~s}^{-1}\) at a speed of \(10 \mathrm{~ms}^{-1}\). The acceleration of the block is

  1. A \(10 \mathrm{~ms}^{-2}\)
  2. B \(15 \mathrm{~ms}^{-2}\)
  3. C \(20 \mathrm{~ms}^{-2}\)
  4. D \(5 \mathrm{~ms}^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(5 \mathrm{~ms}^{-2}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{v}=10 \mathrm{~m} / \mathrm{s}, \frac{\mathrm{dm}}{\mathrm{dt}}=2 \mathrm{~kg} / \mathrm{s}\) \(\therefore \quad\) Force applied by jet on the block is \(\mathrm{F}=\mathrm{v} \cdot\left(\frac{\mathrm{dm}}{\mathrm{dt}}\right)=10 \times 2=20 \mathrm{~N}\)…
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