Final answer:
The asteroid with the smaller mass will experience a greater acceleration due to gravitational force. Without information on their masses, we cannot rank the acceleration of asteroids A and C. If asteroid C has less mass than A, then C would experience greater acceleration than A.
Step-by-step explanation:
The question asks for the ranking of acceleration due to gravitational force between asteroids A and C. According to Newton's second law of motion and the law of universal gravitation, the force acting on both asteroids will be equal and opposite. However, the acceleration experienced by each asteroid depends on its mass. If one asteroid, say A, has twice the mass of asteroid C, then C will experience a greater acceleration because acceleration is the force divided by the mass of the object (F=ma).
Therefore, the greater the mass of the asteroid, the smaller the acceleration it experiences for a given force. Since the question does not provide information about the mass of each asteroid, we cannot determine which one experiences the greater acceleration without additional information. Nonetheless, given the scenario where one asteroid has twice the mass of the other, the asteroid with the smaller mass will experience the greater acceleration. Hence, if C is the one with a smaller mass than A, then the correct answer would be b) C > A.