7. (15 points) It is said that the B2 stealth bomber uses alien technology to provide a force to assist its jet engines. A high power laser inside the plane allegedly charges the air ahead of the plane to attract a second charge placed on the plane's nose. Noting that more than a few Coulombs of charge would cause an arc discharge off the plane flying in air, how far ahead of the plane a distance d, should one place a charge of magnitude 1.5 C, and what sign should this charge have, to give the plane a boost of 55,000 N of force when a charge of - 1.5 C is deposited on the nose of the plane? Assume we are dealing with point charges. F = K qiqz r = kq, 92