As already posted, 1 newton = 1kg*G, where G is the acceleration due to gravity, which is approximately 9.81m/s2. So multiply your kg/mm measurement by 9.81, or divide the newton/mm measurement by 9.81. The 7.6 newton/mm spring is indeed 0.77kg/mm. Since kg/mm and n/mm both use the same measure for distance, there is no need to do anything with the distance. Keep in mind it is a measure of the rate of force required for each mm of compression ( linear spring rate). The one where meters squared, and mm squared were included is actually pressure, not spring rate.