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JEE Main 201910 AprilEvening Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2019 · 10 April · Evening Shift · Physics · Motion in One Dimension

A bullet of mass 20g has an initial speed of 1m s ^ - 1 , just...

A bullet of mass 20g20g has an initial speed of 1ms−11m{s}^{- 1}, just before it starts penetrating a mud wall of thickness 20cm20cm. If the wall offers a mean resistance of 2.5×10−2N,2.5 \times {10}^{- 2}N, the speed of the bullet after emerging from the other side of the wall is close to:

Options

  1. A0.7ms−10.7m{s}^{- 1}
  2. B0.3ms−10.3m{s}^{- 1}
  3. C0.1ms−10.1m{s}^{- 1}
  4. D0.4ms−10.4m{s}^{- 1}

Correct answer

A. 0.7ms−10.7m{s}^{- 1}

Step-by-step solution

a=−2.5×10−220×10−3=−54ms−2a = - \dfrac{2.5 \times {10}^{- 2}}{20 \times {10}^{- 3}} = - \dfrac{5}{4}m{s}^{- 2}
From v2−u2=2as{v}^{2} - {u}^{2} = 2as
v2=u2+2as{v}^{2} = {u}^{2} + 2as
v=12−2×54×20×10−2v = \sqrt{{1}^{2} - 2 \times \dfrac{5}{4} \times 20 \times {10}^{- 2}}
=0.5= \sqrt{0.5}
=0.7ms−1= 0.7m{s}^{- 1}
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