2 Problem 2: Space explorers discover an my = 8.7 x 10" kg asteroid A, MA that happens to have a positive charge of qa = 4400 C. They would like to place their my = 3.3 x 10' kg spaceship in orbit around the asteroid. Interestingly, the solar wind has given their spaceship a charge of qs = + -1.2C. What speed must their spaceship have to achieve a 7500-km- diameter circular orbit? a) In Fig. 2, draw the vectors that represent the gravitational and electric forces experienced by the satellite. Compute the magnitudes of FIG. 3: The scheme for Problem 2 these forces. (Note: Do not use the formula |F,| = msg, where g = 9.8 ms , to compute the gravitational force, because that formula is valid only at low altitudes, and only for the gravitational field of the Earth. Instead, use Newton's law of gravity, IF| = -R." -Gmama, where G is the gravitational constant, and R is the radius of the orbit.) b) For the spaseship to stay in equilibrium on the circular orbit, the total force acting on the spaceship should provide the acceleration a = of/R, directed inwards (remember that a circular motion is an accel- erated motion, because the velocity keeps changing direction, even if its magnitude is constant). Using Newton's second law of motion for the spaceship, Foot = mya, where Foot is the total force acting on the spaceship, find the required velocity