The coordinate axes shown represent the principal centroidal axes of inertia of a 1500-kg space probe whose radii of gyration are kx = 0.55 m, ky = 0.57 m, and kz = 0.50 m. The probe has no angular velocity when a 0.14-kg meteorite strikes one of its solar panels at A and emerges on the other side of the panel with no change in the direction of its velocity, but with a speed reduced by 25 percent. Knowing that the final angular velocity of the probe is ω = (0.05 rad/s)i ??(0.12 rad/s)j + ω2k and that the x component of the resulting change in the velocity of the mass center of the probe is ??17 mm/s, determine

(a) The component z ω of the final angular velocity of the probe,

(b) The relative velocity v0 with which the meteorite strikes the panel.