To determine which planet an object would weigh the most on, we can use Newton's law of universal gravitation, which states that weight is directly proportional to the mass of the planet. Given that the radius of the planets is assumed to be similar, the weight of an object on a planet is primarily determined by the gravitational force, which depends on the mass of the planet.
Let's look at the estimated masses:
- Planet W: \(6.4 \times 10^{23} , \text{kg}\)
- Planet X: \(3.3 \times 10^{23} , \text{kg}\)
- Planet Y: \(59.7 \times 10^{23} , \text{kg}\)
- Planet Z: \(48.7 \times 10^{23} , \text{kg}\)
Among these, Planet Y has the largest mass (59.7 × 10²³ kg). Therefore, an object would weigh the most on Planet Y.
So the answer is: on planet Y.