The lowest limit of thermodynamic temperature is called as absolute zero. By international agreement, on kelvin scale it is 0 K and on Celsius scale it is equal to -273.15° C. This is considered as the lowest possible temperature. At this temperature the particle vibration is minimum and no heat energy remain in the substance.
These kinds of problems can be solved using Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.