Q139 / 170 · Manipal (MET) 2019 · Physics

A bullet of mass 10 g is fired from a gun of mass 1 kg . If the recoil velocity is $5 \mathrm{~m} / \mathrm{s}$, the velocity of the muzzle is

  • A
    $0.05 \mathrm{~m} / \mathrm{s}$
  • B
    $5 \mathrm{~m} / \mathrm{s}$
  • C
    $50 \mathrm{~m} / \mathrm{s}$
  • Correct answer
    D
    $500 \mathrm{~m} / \mathrm{s}$

Solution

From law of conservation of momentum $\begin{aligned} & M V=m v \\ & 1 \times 5=10 \times 10^{-3} \times v \\ & v=500 \end{aligned}$

Hence, the correct answer is option: 'D'.

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