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COMEDK · Physics · 3. Motion In One Dimension

A bullet moving with a speed of \(100 \mathrm{~ms}^{-1}\) can just penetrate two planks of equal thickness, then the number of such planks penetrated by the same bullet when the speed is doubled will be

  1. A \(6\)
  2. B \(10\)
  3. C \(4\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(8\)

Step-by-step Solution

Detailed explanation

Given, \(u_{1}=100 \mathrm{~ms}^{-1}\) \[ \Rightarrow u_{2}=2 \times u_{1}=2 \times 100=200 \mathrm{~ms}^{-1} \] Using equation of motion, \[ v^{2}=u^{2}-2 a s \quad(\because \text { acceleration is negative }) \] As, final velocity, \(v=0\) \(\Rightarrow \quad u^{2}=2 a s\) or…