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      Question

      A 5 kg block at rest is hit by a 0.1 kg bullet moving at

      500 m/s. The bullet gets embedded into the block. What is their final velocity?
      A 5 m/s Correct Answer Incorrect Answer
      B 10 m/s Correct Answer Incorrect Answer
      C 9.8 m/s Correct Answer Incorrect Answer
      D 20 m/s Correct Answer Incorrect Answer

      Solution

      We are given:

      • Bullet mass = 0.1 kg, initial speed = 500 m/s
      • Block mass = 5 kg, initially at rest
      • The bullet gets embedded into the block (i.e., perfectly inelastic collision)
      • We are to find the final velocity (Vf) of the bullet-block system after collision
      Apply conservation of linear momentum Initial momentum:
      • Bullet: p₁  = 0.1 × 500 = 50 kg·m/s
      • Block: p₂  = 5 × 0 = 0
      • Total initial momentum = 50 kg·m/s

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