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Physics · WORK, ENERGY AND POWER

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A block of mass \( m_1 = 2\text{ kg} \) moving with a speed of \( 6\text{ m s}^{-1} \) collides with a stationary block of mass \( m_2 = 4\text{ kg} \). If the collision is completely inelastic, what is the ratio of the kinetic energy lost during the collision to the initial kinetic energy of the system?

  1. \( \frac{1}{3} \)
  2. \( \frac{2}{3} \)
  3. \( \frac{1}{2} \)
  4. \( \frac{4}{9} \)

Correct answer · Option 2

\( \frac{2}{3} \)

Explanation

Fractional loss in kinetic energy is \( \frac{\Delta K}{K_i} = \frac{m_2}{m_1 + m_2} = \frac{4}{2 + 4} = \frac{2}{3} \).

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