Problem Statement I Consider the basketball that bounced off the ground in the Individual Quizbit 7 q question. We wish to determine the recoil speed ofthe Earth after it's collision with the basketball. Choose a reference frame where the Earth is initially stationary before the basketball hits it. Ignore the affects of all other objects besides the basketball and the Earth. 1' . (a) To simplify the situation, assume the ball is bounced straight up and down. Use a conservation of mo- mentum analysis to determine the recoil speed of the Earth after this collision. The mass of the Earth is I 5.975(21024 kg. (b) Sometimes it is hard to grasp very small or very large numbers. To make sense ofthe speed you found in part (a), deter; mine the time, in years, it would take the Earth to move a distance of 1.00x10'10 m at this speed. This is on the order of the distance between atoms, and about the point where making smaller measurements of distance becomes exceeding- ly difficult. (c) The recoil speed of the Earth found in part (a) is very small. Even with that the case, there are billions of collisions with the Earth per second, most much larger than this basketball example (think walking). Why is it that these small impulses, added up over many occurrences and over much time, don't eventually y the Earth out of orbit? Should we be worried about these continuous bombardment of impulses on the Earth? Explain using words, diagrams, math, graphs, or any other representation that supports your