The elephant and the mouse having zero weight in a gravity free space will not bump into you at the same effect.
Explanation:
When both are in a gravity free space, the weights are zero, as we know that the[tex]\text {weight of the body}=\text {mass of the body} \times \text {acceleration due to gravity}[/tex]
[tex]\text {here, the weight of elephant}=\text {mass of elephant } \times \text {zero gravti} y=zero[/tex]
[tex]\text {similarly,weight of mouse}=\text {mass of mouse } \times \text {zero gravity}=zero[/tex]
But when they will acquire the speed of same magnitude, say v, their different masses will acquire different momentum, which will make the difference in effect while bumping.
[tex]\text { momentum of elephant }=\text { mass of elephant } \times v[/tex] [tex]\text { momentum of mouse = mass of mouse } \times v[/tex]
And as we know [tex]\text { mass of elephant }>\text { mass of mouse }[/tex] Therefore, effect of impact by elephant will be more than that of mouse . An elephant breaking into you will take you back faster than a mouse in space hits you.