An alpha particle (q=2e and m=4mp) is projected directly at a gold nucleus (q = 79e) which can be assumed to be fixed in place. Assume that the alpha particle starts from a point which is very far from the gold and that it has an initial speed of 4. 5 105 m/s. How close does it come to the gold nucleus, assuming that it moves in a straight line towards that nucleus. From comparison, the gold nucleus has a diameter of about 7. 5 fm. Are the assumptions of this problem consistent with this.