Say we have identical masses side by side low down in a strong gravitational field. We attach ideal massless cords to each mass and suspend them from spring balances higher in the field. One spring balance (with a longer cord) is at a much higher altitude (h2) than the other at h1. Will the spring balances at h1 and h2 read the same or is there a force transformation? P.S. I probably should of stated that the same two spring balances read the same as each other when they are at the same height as each other and the masses are at the same height as each other, that the massive body is non rotating and uncharged and that the test masses are much smaller than the massive body.