Final answer:
The less massive planet will experience a higher acceleration due to the inverse relationship between mass and acceleration in Newton's second law of motion.
Step-by-step explanation:
When two planets are experiencing the same force and one is twice as massive as the other, the planet with less mass will have a higher acceleration. According to Newton's second law of motion, force equals mass times acceleration (F = m*a). If the same force acts on two objects of different masses, the object with the smaller mass will experience greater acceleration.
Furthermore, in the case of gravitational attraction as stated by Newton's law of gravitation, both objects exert equal force on each other despite their difference in mass. However, the object with less mass will exhibit a larger acceleration due to the inverse relationship of mass and acceleration in Newton's second law.
Comparatively, consider two asteroids begin to gravitationally attract one another with one asteroid being twice the mass of the other. They each experience the same force due to the gravitational pull, but the smaller asteroid experiences greater acceleration due to having half the mass of the larger one.