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An aircraft of mass \( 50\,000 \) kg touches down at \( 3 \) m/s sink rate. The kinetic energy the gear must absorb is

  • A.75 kJ
  • B.225 kJ
  • C.150 kJ
  • D.450 kJ

Answer: B

Correct answer: 225 kJ

\[ E = \tfrac{1}{2}mv^2 = \tfrac{1}{2} \times 50{,}000 \times 3^2 = 225{,}000\ \mathrm{J} = 225\ \mathrm{kJ}. \] The undercarriage must absorb this in a stroke of well under a metre, which is why oleo-pneumatic struts are used rather than simple springs - a spring returns the energy, whereas an oleo dissipates it.

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