To determine which planet an object would weigh the most, we need to compare the gravitational forces exerted by each planet. The gravitational force between two objects depends on the mass of the objects and the distance between them. The formula for gravitational force is given by:
F = (G * m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.
In this case, we are comparing the gravitational forces exerted by the planets on the object, assuming the planets have similar radii. Since the radius does not affect the gravitational force, we can ignore it for this comparison.
To compare the gravitational forces, we only need to compare the masses of the planets. Looking at the table, we can see that the estimated masses of the planets are:
- 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
Comparing these values, we can conclude that the object would weigh the most on planet Y, as it has the highest mass among the four planets listed in the table. So the correct answer is: on planet Y.