There are two planets. Planet A is the larger one, and planet B is smaller. The larger planet has twice the radius and twice the mass as the smaller. How would the weight of the person compare on the two planets. Choose the correct answer choice.
a) a person would weigh two times as much on the larger planet
b) a person would weigh 1/2 times as much on the larger planet
c) a person would weigh 4 times as much on the larger planet
d) a person would weigh the same on both planets