The Earth consists of an angular speed of 7.272 x 10-5 rad/s in its rotation. Determine the new angular speed if an asteroid (m = 1.12 x 1022 kg) hits the Earth as traveling at a speed of 1.50 x 103 m/s (suppose the asteroid is a point mass compared to the radius of Earth) in each of the given cases.
(a) The asteroid hits the Earth just tangentially in the direction of the rotation of Earth.
(b) The asteroid hits the Earth just tangentially in the direction opposite to rotation of Earth.