I think that the distance between the earth would be reduced 1/root(2).
Simple pendulum clock, time period of oscillation , would be divided by square root of 2.
Http://en.wikipedia.org/wiki/pendulum
regards from athens,
panagiotis stefanides
http://www.stefanides.gr
If the Earth's gravity were somehow arbitrarily doubled, one of the more interesting consequences would be that the magnitudes of ocean tides might diminish. Tides result from the pull of lunar gravity on water. Increasing Terran gravity would mean ocean water would be held more firmly by the Earth. Less powerful tides would presumably translate into less erosion of continental shelves, substantially lengthening the time required for substantial geological change. As this would mean continents and their features would survive unchanged far longer, doubling Earth's gravity would dramatically affect biological evolution by decreasing habitat variability. Substantially higher gravity would also probably have prevented many lineages (birds, mammals, insects, etc) from developing flight, since it would require considerably more energy. In short, arbitrarily doubling the Earth's gravity would produce a vast host of geological land biological changes, the results of which would produce a plane and life markedly different from ours.
Since the moon orbit will be closer to the Earth that has doubled gravity, the pull by the moon on the ocean will also be increased. The at least partially cancels the effect of increased gravity on the Earth.
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