Long Questions (shgw ygur math steps): 0 : 299792458 m/s, h : 6.626068X10'3'4 J s, h = h/Zn , so: 8.8541878X10'12 CZN"m'2, a Mo: 47tX10' ? NSZC'Q. Double slit irradiance: 105(ky) 0: cos2 (% icy) sinc2 (3 k3,) 1. [16 total pts] NASA is considering accelerating spacecraft in outerspace by pushing them with a powerful laser beam launched from the earth. The laser hits a sail on the spacecraft. Assume the laser outputs 1 megaWatt of optical power and has a wavelength of 800 nm. a. [4 pts] Calculate the number of photons per second being emitted by the laser. [4 pts] Assume the sail is perpendicular to the laser and the laser beam is perfectly absorbed. How much does the momentum of the spacecraft change per second? How much force is there on the spacecraft from the laser? If the spacecraft weighs 1kg, what is its acceleration a relative to gravity, (1/9? [4 pts] If the sail is now made perfectly reflective, what is the force on the spacecraft? If the sail is now oriented at 45 degrees to the laser beam, how does the force change for the cases of the perfectly reflective and absorptive sail? Assume that the entire laser beam is still absorbed/reflected. [4 pts] Now consider the case where the laser is mounted on the spacecraft. Show which case will change the spacecraft momentum more: I) Converting M of the spacecraft mass to energy (E = mcz) that is then emitted as laser light, II) Converting a fraction h of M to energy (kinetic in this case) that is then used to eject (1 h)M of mass from the spacecraft