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TS EAMCET · Physics · Motion In One Dimension

A bullet enters a wooden block with velocity \(120 \mathrm{~m} / \mathrm{s}\). The bullet travels \(1.5 \mathrm{~s}\) in the block before its velocity reduces to zero due to resistance force which is proportional to the square root of the velocity. The distance travelled by the bullet in the wooden block is

  1. A \(10 \mathrm{~m}\)
  2. B \(90 \mathrm{~m}\)
  3. C \(25 \mathrm{~m}\)
  4. D \(40 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(90 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given, velocity of bullet, \(u=120 \mathrm{~m} / \mathrm{s}\) and \(t=1.5 \mathrm{~s}\) If deceleration of bullet inside the block is \(a\). Then from the first equation of motion, \(v=u-a t\)…
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