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Physics · WORK, ENERGY AND POWER

हिन्दी

A bullet of mass \( 50.0\text{ g} \) fired with speed \( 200\text{ m s}^{-1} \) strikes a soft plywood board. It emerges from the board with only \( 10\% \) of its initial kinetic energy. The emergent speed of the bullet is closest to:

  1. \( 63.2\text{ m s}^{-1} \)
  2. \( 20.0\text{ m s}^{-1} \)
  3. \( 141.4\text{ m s}^{-1} \)
  4. \( 89.4\text{ m s}^{-1} \)

Correct answer · Option 1

\( 63.2\text{ m s}^{-1} \)

Explanation

\( K_f = 0.10 \times K_i \implies \frac{1}{2}m v_f^2 = 0.10 \times (\frac{1}{2}m v_i^2) \implies v_f = \sqrt{0.10} \times v_i = \sqrt{0.10} \times 200 \approx 63.2\text{ m s}^{-1} \).
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