Sixty-seven million years ago, a large asteroid impacted Earth. It is widely accepted in the field of paleontology that this impact played a large role in a mass extinction that included all dinosaurs and 60% of the species living at the time. Such collisions could also alter fundamental aspects of the Earth's orbit and rotation. Consider an impact of a similar-sized asteroid of mass 8.9×1015 kg and a velocity with respect to the Earth's surface of 90,000 km/h. If the asteroid were to strike Earth at the equator as shown in the figure below.
(a) what is the change in the angular velocity of the Earth?
(b) What is the maximum possible change in the length of a day?