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Uno could probably make you deader...
Try a web search for "levitating frog" to see how it's done
Has to be some sort of self-contained or at the very least rechargeable system, otherwise the gravity would falter for sure each time the warp core is ejected.
And, there have been questions about ejectra from the impact (or lack there of, but most could be currently under existing ice - some conjectures about side glance hit, but still), would the rapid melt/vaporization have any possible effect of how that might get distributed?
How much would that change (or muddy up if you will) the calculations of the probable size and energy of the impacting object?
If ice was present and its thickness was comparable to the impactor’s diameter, then a more energetic projectile is required to produce a crater of the observed size, and the fraction of non-ice debris in the ejecta would be smaller than if the impact hit ice-free land (19).
The presence of an icy layer significantly modifies the cratering mechanics. Observable features demonstrated by the modeling include variations in crater morphometry (depth and rim height) and icy infill of the crater floor during the late stages of crater formation. In addition, an icy layer modifies the velocities, angles, and volumes of ejecta, leading to deviations of ejecta blanket thickness from the predicted power law. The dramatic changes in crater excavation are a result of both the shock impedance and the strength mismatch between layers of icy and rocky materials.