Lighter objects do indeed move faster when tugged, but with gravity, the heavier object is also tugged more. In fact, gravity’s tug is exactly enough to offset the fact that you have to tug a heavy object more to get it going as fast as a lighter object.
Magnetism’s tug isn’t based on mass. You still need to tug harder to move a heavier object, but magnetisim doesn’t tug heavier objects more. The result is that lighter objects move faster.
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