To determine which planet is likely closer to the sun, we can use Kepler's Laws, particularly the third law, which states that a planet's distance from the sun is inversely proportional to its orbital speed. This means that a planet with a higher orbital speed tends to be closer to the sun.
Given the orbital speeds of the planets:
- Planet J: 13.07 km/s
- Planet E: 29.78 km/s
- Planet Y: 47.36 km/s
- Planet M: 24.00 km/s
We need to compare their orbital speeds to determine which planet is moving the fastest, as this planet will likely be closest to the sun.
Looking at the values:
- Planet J has an orbital speed of 13.07 km/s.
- Planet E has an orbital speed of 29.78 km/s.
- Planet Y has an orbital speed of 47.36 km/s.
- Planet M has an orbital speed of 24.00 km/s.
Among these, Planet Y has the highest orbital speed of 47.36 km/s.
According to Kepler's Laws, since Planet Y has the highest orbital speed, it is likely the closest to the sun.
Therefore, the planet that is likely closer to the sun is:
[tex]\[
\boxed{\text{Planet Y}}
\][/tex]
