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A lead bullet of mass 0.05 kg is fired with a velocity of 200 m/s...

Physics
JAMB 2018

A lead bullet of mass 0.05 kg is fired with a velocity of 200 m/s into a lead block of mass 0.95 kg. Given that the lead block can move freely, the final kinetic energy after impact is

  • A. 100J
  • A. 150J
  • C. 50J
  • D. 200J
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Correct Answer: Option C
Explanation

From the law of conservation of linear momentum, 

\(m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\)

Since the collision is inelastic, we have

\((0.05 \times 200) - (0.95 \times 0) = (0.05 + 0.95)V\)

\(10 = V\)

\(V = 10ms^{-1}\)

Hence the Kinetic energy = \(\frac{1}{2} (0.05 + 0.95) \times 10^2\)

= \(\frac{1}{2} \times 100\)

= 50J

There is an explanation video available below.


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Explanation Video

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