1225 The coordinate axes shown represent the principal centroidal axes of inertia of a 1500 kg space probe whose radii of gyration are k, = 0.55 m, k, = 0.57 m, and k. = 0.50 m. The probe has no angular velocity when a 0.14 kg meteorite strikes one of its solar panels at point A with a velocity vy = (720 m/s)i (900 m/s)j + (960 m/s)k relative to the probe. Knowing that the meteorite emerges on the other side of the panel with no change in the direction of its velocity, but with a speed reduced by 20 per- cent, determine the final angular velocity of the probe. Fig. P18.35 1853 Determine the kinetic energy of the space probe of Prob. 18.35 s motion about its mass center after its collision with the meteorite