The Earth consists of an angular speed of 7.272x10-5 rad/s in its rotation. Determine the new angular speed when an asteroid (m = 1.89 x 1022 kg) strikes the Earth while traveling at a speed of 3.07x 103 m/s (Suppose the asteroid is a point mass as compared to the radius of the Earth) in each of the given cases:
i) The asteroid strikes the Earth dead center.
ii) The asteroid strikes the Earth almost tangentially in the direction of rotation of earth.
iii) The asteroid strikes the Earth almost tangentially in the direction opposite of rotation of earth.