The weight of an object on a planet is directly related to the planet's mass. Since we are assuming that the planets have similar radii, we can determine which planet would have the greatest gravitational pull (and thus the most weight for an object) by comparing their estimated masses.
Let's look at the estimated mass of each planet:
- Planet W: 6.4 x \(10^{23}\) kg
- Planet X: 3.3 x \(10^{23}\) kg
- Planet Y: 59.7 x \(10^{23}\) kg
- Planet Z: 48.7 x \(10^{23}\) kg
Based on the masses, we can see that:
- Y (59.7) > Z (48.7) > W (6.4) > X (3.3)
Thus, planet Y has the highest mass. Therefore, an object would weigh the most on planet Y.