To determine which planet an object would weigh the most on, we need to consider the gravitational pull of each planet, which is proportional to its mass. Since the planets are assumed to be similar in radius, we can use the mass values provided to compare the weights.
Here's the estimated mass of each planet:
- Planet W: 6.4 × 10^23 kg
- Planet X: 3.3 × 10^23 kg
- Planet Y: 59.7 × 10^23 kg
- Planet Z: 48.7 × 10^23 kg
The weight of an object on a planet is proportional to the mass of that planet. Therefore, the planet with the highest mass will exert the greatest gravitational pull and thus the object will weigh the most there.
Planet Y has the highest mass (59.7 × 10^23 kg), followed by:
- Planet Z: 48.7 × 10^23 kg
- Planet W: 6.4 × 10^23 kg
- Planet X: 3.3 × 10^23 kg
So the answer is:
On planet Y.