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2. motion in straight line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
A bullet fired into a fixed target loses half of its velocity after penetrating $1\,cm.$ How much further it will penetrate before coming to rest, assuming that it faces constant resistance to motion
  • A
    $1.5\,cm$
  • B
    $1.0\,cm$
  • C
    $3.0\,cm$
  • ✓
    $\frac {1}{3}\,cm$
✓

Answer

Correct option: D.
$\frac {1}{3}\,cm$
d
$A$ to $B$$:$ $\left(\frac{\mathrm{u}}{2}\right)^{2}=\mathrm{u}^{2}-2 \mathrm{a} \times 1$      $...(i)$

$\mathrm{B}$ to $\mathrm{C}: 0=\left(\frac{\mathrm{u}}{2}\right)^{2}-2 \mathrm{a} \times \mathrm{d}$        $...(ii)$

From $(\text { i }), 2 a=\frac{3 u^{2}}{4}$ in $(\text { ii })$

$0=\frac{\mathrm{u}^{2}}{4}-\frac{3 \mathrm{u}^{2}}{4} \mathrm{d} \quad \Rightarrow \mathrm{d}=\frac{1}{3} \mathrm{cm}$

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