A 350-kg disk-shaped non-rotating satellite gets hit by a 5-g piece of space debris moving at 1.5 km/s. If the debris buries itself near the satellite’s rim, how rapidly will the satellite rotate after the hit?
angular momentum of disk
= (1/2) M R^2 omega final
angular momentum of debris initial
= m R^2 (v/R) = m v R
so
m v R = (1/2) M R^2 omega
omega = 2 v (m/M) /R