Please solve this correctly asap It has been proposed that a spaceship might be
ID: 2243366 • Letter: P
Question
Please solve this correctly asap
It has been proposed that a spaceship might be propelled in the solar system by radiation pressure, using a large sail made of foil. How large must the surface area (in m2) of the sail be if ïhe radiation force is to be equal in magnitude to the Sun's gravitational attraction? Assume that the mass of the ship + sail is 1300 kg, that the sail is perfectly reflecting, and that the sail is oriented perpendicular to the Sun's rays. (With a larger sail, the ship is continuously driven away from the Sun.) The rate at which the Sun emits energy is 3.90 times 1030 W. The Sun's mass is 1.99 times 1030 kg. Gravitational constant is 6.67 times 10-11 Nm2/kg2. Number Units the tolerance is +/-7%Explanation / Answer
Radiational force =Gravitational force
(2Pc/4pir^2)A =GMm/r^2
=>A =2picGMm/P
A =2pi*(3*10^8)*(6.67*10^-11)*(1.99*10^30)*(1300)/(3.9*10^26)
A=833,986 m^2 or 0.833 Km^2