Based on the given scenario where Earth's mass increases while the Moon's mass remains the same, let's analyze the options provided:
1. The Earth would exert a larger force on the Moon: This is correct. According to Newton's law of universal gravitation, the force of attraction between two objects is directly proportional to their masses. Therefore, with Earth's mass increasing, the force it exerts on the Moon would also increase.
2. The Moon would exert a larger force on the Earth: This is incorrect. Since the Moon's mass remains the same, its gravitational force on the Earth would not change. The force of gravity depends on both masses involved, so if one mass stays constant while the other increases, the force exerted by the constant mass would not change.
Therefore, the correct selections from the given options are:
1. The Earth would exert a larger force on the Moon
2. None of the above (since the Moon would not exert a larger force on the Earth in this scenario)
In conclusion, when Earth's mass increases but the Moon's mass stays the same, the Earth exerts a larger force on the Moon, while the Moon's force on the Earth remains unchanged.