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Weight is mass*gravity, in zero gravity objects have zero weight. But they still have mass! When one object bumps another they under go a collision. Which can be explained by transfer of energy or conservation of momentum. In the case of energy, KE=1/2mv2 the mouse and the elephant have different masses so therefore different kinetic energy. Or in terms of momentum (mass*velocity), again the mouse and elephant have different masses and therefore different momentums at the time of impact. Therefore the reaction you feel will be different.

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Q: An elephant and a mouse would both have zero weight in gravity-free space If they were moving toward you with the same speed would they bump into you with the same effect Explain?
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