If we wither off the top most layers of moon will moon become any better ( with respect to radiations and high tides) and more compatible to earth?
The amount of energy expended by a magnet to attract an iron ball depends on the strength of the magnetic field and the distance between the magnet and the ball. If the magnet is the same strength and distance from the 1-inch iron ball and the 1000-inch iron ball, then it would spend the same amount of energy to attract both balls.
However, if the magnet is closer to the 1-inch iron ball than the 1000-inch iron ball, then it would spend less energy to attract the smaller ball because the force of the magnetic field decreases with distance. Conversely, if the magnet is further away from the 1-inch iron ball than the 1000-inch iron ball, then it would spend more energy to attract the smaller ball because it would need to overcome the force of the magnetic field over a longer distance.
In summary, the energy expended by a magnet to attract an iron ball depends on the strength of the magnetic field and the distance between the magnet and the ball. If these factors are the same for both a 1-inch iron ball and a 1000-inch iron ball, then the magnet would spend the same amount of energy to attract both.
It is not possible for us humans to physically make the moon smaller in size. The moon's size is determined by it's mass and gravity, which cannot be altered by human activity.
Removing the topmost layers of the moon would not make it more compatible with Earth, nor would it have any significant impact on radiation levels or tides. The moon's gravitational pull is what causes tides on Earth, and its position and distance from the Earth are what determines the strength of those tides. Further, the moon does not emit radiation of its own. Instead, it reflects radiation from the sun, and any changes in the moon's surface would not significantly affect the amount of radiation reaching Earth.
Therefore, altering the moon's size or removing layers would not be a feasible solution to any perceived problems with the moon's impact on Earth.